#install.packages(c("EGAnet", "haven", "lavaan"))
library(EGAnet)
library(haven)
library(lavaan)13 The Advanced Applications of Psychological Networks with Exploratory Graph Analysis
Abstract
Educational measurement plays a pivotal role in capturing evidence of students’ learning as an integral part of learning analytics. The network psychometrics approach offers a novel perspective to analyze a complex system of elements that are related to learning. The first edition of Learning Analytics Methods and Tutorials offers a comprehensive introduction to the estimation of psychological networks. This chapter aims to introduce advanced applications of network psychometrics in learning analytics. Specifically, we demonstrate the application of unique variable analysis to identify variables that uniquely contribute to a complex system of variables (e.g., identifying important actions stored within a learning management system), thereby reducing redundant variables to meaningfully simplify the dataset. Furthermore, we describe and demonstrate methods to assess the integrity of such a system with exploratory graph analysis (EGA), hierarchical EGA, and dynamic EGA. The dynamic EGA method, in particular, allows researchers to assess changes in the structure of a system across multiple time points. This capability proves beneficial in scenarios involving the continuous monitoring of students’ learning progress over time. Finally, we illustrate the transformation of psychological networks from EGA to the factor analytic format, highlighting how these two approaches, despite operating differently, are comparable and can complement each other in examining the complex structure of a learning system.
1 Introduction
The network psychometrics approach offers a novel perspective to analyze a complex system of elements that are related to learning [1]. This approach to psychometrics is a helpful addition that complements the traditional factor analytic approach to study the interplay of psychological components consisting of a group as latent variables, such as cognitive ability, engagement, and motivation [2]. Specifically, the factor analytic approach focuses on simplifying the relationships between such components as a restricted, factorial structure of observed and latent variables, while the network approach focuses on exploring unrestricted, dynamic associations among observed variables [2, 3]. However, the network psychometrics approach conceptualizes the structure of a psychological network as a system with structural relationships between variables of interest [1].
Unlike the traditional factor analytic approach, the network psychometrics method operates without the assumption of latent factors. In this framework, items are permitted to demonstrate their associations by freely moving within a two-dimensional space [1]. If the items are related, they tend to naturally cluster together without the imposition of structural constraints [1, 4]. This characteristic offers researchers a novel perspective for examining the relationships between variables that constitute educational constructs as a system. Building upon the comprehensive introduction to psychological network estimation presented in the first volume of this book [5], this chapter extends that discussion by exploring advanced applications of psychological networks through the exploratory graph analysis (EGA) method through the EGAnet package [6] in R [7].
Specifically, we describe and demonstrate methods to assess the integrity of such a network system with EGA and hierarchical EGA [6, 8]. We also demonstrate the transformation of network structures from the EGA and Hierarchical EGA methods to the confirmatory factor analysis (CFA) format, highlighting how these approaches, despite operating differently, are comparable and can complement each other in examining the complex structure of a learning system [8]. Subsequently, we demonstrate how the dynamic EGA method allows researchers to assess changes in the structure of a system across multiple units of assessment [6]. This capability proves beneficial in scenarios involving the personalization of interventions for specific groups of learners. Finally, we demonstrate the application of unique variable analysis (UVA) to identify variables that do not contribute meaningfully to the construct due to their redundancy (e.g., more than one variables that measure similar or the same attribute), thereby reducing them to simplify the dataset for better model fit [9].
2 Literature Review
2.1 Examining A System of Educational Variable with EGA
EGA is a network psychometrics technique that leverages graphical network estimation and community detection algorithms to elucidate the complex structure of educational data [6]. Like other network domain methods, EGA represents observed variables as nodes and their partial correlations as edges within the network [10]. Clusters of variables in an EGA analysis depict their underlying latent structure, encompassing the observed variables themselves [8]. These clusters, called communities, allow researchers to examine hidden structures that may not be available upon mere observation.
A distinctive characteristic of EGA is its use of community detection algorithms, such as “Louvain” or “Walktrap.” These algorithms optimize the identified structure of the psychological system under investigation, offering researchers a novel approach to estimating the structure of a psychological construct [6]. For instance, the Louvain algorithm identifies clusters of observed variables based on a multi-level modularity optimization algorithm [11], while the Walktrap method employs a random walk algorithm [12].
Beyond a single estimation of the network structure, EGA offers the capability to assess its stability across data variations through iterations of bootstrap resampling [10]. This iterative approach, known as BootEGA, estimates the network structure by identifying the median structure across all results from the bootstrap iterations [6]. This approach enhances the robustness of network structure assessment by accounting for potential uncertainties arising from dataset variations.
Furthermore, the EGA method can estimate network structures with nodes that share common covariance, potentially representing hierarchical information like higher-order constructs [2]. This ability allows EGA to capture the hierarchical nature of variables without requiring manual input from researchers. Additionally, EGA can estimate dynamic communities in multivariate time series data at various units of measurement (i.e., intra-individual structure, groups, and inter-individual structure). This method, termed dynamical EGA, allows researchers to examine changes in the network structure across sub-populations [6]. Such insights can inform the development of personalized interventions in variables that change across groups, such as students’ feedback utilization between low achievers and high achievers.
Regarding reporting metrics, both EGA and Hierarchical EGA show a network plot depicting the community assignment of each item alongside the same model fit indices used in Confirmatory Factor Analysis (CFA). Specifically, an EGA object can provide absolute fit indices such as Root Mean Square Error of Approximation (RMSEA) and Standardized Root Mean Square Residual (SRMR), which are recommended to be less than 0.05 and 0.08, respectively, to indicate a good fit [13, 14]. Additionally, relative fit indices such as the Comparative Fit Index (CFI) and Tucker-Lewis Index (TLI) are available. These indices should ideally be 0.95 or higher [14]. The extraction of CFA fit from EGA can be done by transforming an EGA or Hierarchical EGA object into a CFA through the CFA function in the EGAnet package [6]. Then, the fit measures can be extracted through the fitmeasures function from the lavaan package [15].
Bootstrap EGA yields results similar to EGA, with the added benefit of providing the typical structure represented by the median dimensions identified across multiple network structures from bootstrap iterations [8]. It also offers information on the replication proportion for item-level results and structural consistency indices for dimension-level results [8, 10]. Notably, the EGA method introduces a unique relative fit index known as the Total Entropy Fit Index (TEFI) that complements conventional fit indices [16]. A lower TEFI value indicates reduced disorder and uncertainty in the estimated structure, signifying greater robustness in item organization [16]. The CFA fit metrics, however, are not available in the dynamical EGA method. Instead, it has network fit information such as the number of communities, the median dimension for the intra-individual level, and TEFI at the group and inter-individual levels [6].
A use-case of EGA in learning analytics could be the prediction of students’ success to inform instructors’ teaching strategies. The instructor could collect learning-related data such as attendance, participation in class discussions, time spent on homework, use of learning resources, and scores on quizzes and exams. Through the community detection algorithms of EGA, clusters of these variables are formed, representing their underlying latent structure. For instance, attendance and participation in class discussions might form one community, indicating that these two factors are closely related and might contribute to a latent factor such as ‘class engagement.’ Similarly, time spent on homework and use of learning resources might form another community, possibly representing a latent factor like ‘study habits’. This information can then be used to develop targeted interventions to improve student outcomes. For example, if ‘class engagement’ is identified as a key factor in student success, the university might implement strategies to increase student participation in class discussions. In this way, EGA serves as a powerful tool for educational institutions to analyze complex educational data and uncover meaningful insights that can inform decision-making and strategy development. It allows researchers to go beyond mere observation and examine the hidden structures within their data. This can lead to more effective interventions and improved educational outcomes.
2.2 Reducing Redundant Variables with UVA
Being developed under the same R package as EGA, UVA employs network estimation to identify redundant nodes or variables for removal [9]. These redundant nodes, if left unchecked, could give rise to undesired clusters that impede the interpretability of the estimated structure of the dataset [9, 17]. In learning analytics, network analysis can be used to understand student interactions and learning patterns. Data from a learning management system on students (e.g., ID, enrollment information, demographic), courses (e.g., course ID, topics, difficulty level), activities (e.g., login information, forum discussions, quiz attempts, assignment submissions), and grades (e.g., formative assessment score, assignments, and final exams) can be transformed into a network structure.
However, this network might contain redundant nodes. For example, a student submitting an assignment likely logged in around that time. These two nodes (“assignment submission” and “login”) might be capturing overlapping information. Keeping these redundant nodes can lead to misleading clusters, like grouping logins and submissions together. Techniques like UVA, which identifies and removes redundant nodes, can help create a clearer picture. This allows the analysis to focus on meaningful connections, such as discussion participation and its relation to assignment performance to improve the course design. Functionally, the UVA method leverages two algorithms to assess the similarity between network nodes based on partial correlation. These algorithms are the graphical least absolute shrinkage and selection operator (GLASSO) and the weighted Topological Overlap (wTO) [9, 18].
The UVA method employs wTO to identify neighboring nodes that share connections with a particular pair of nodes [19]. Essentially, nodes with highly similar connections to the same set of neighboring nodes are considered redundant [19]. In simpler terms, wTO detects highly correlated nodes that exhibit similar relationships with other nodes in the network, suggesting a level of interdependence [9]. For instance, if “class participation” and “student engagement” share strong connections with variables like “student satisfaction” and “dropout rates,” they might be considered a redundant pair.
The integration of wTO with GLASSO network estimation allows for the visualization of potential interactions between nodes, the extent of overlap in connections between specific nodes, and the overall commonality of nodes within the entire network [18]. Following the identification of redundant nodes, the UVA method offers various strategies for their management.
Redundant nodes can be:
Removed from the dataset entirely;
Aggregated by summing their scores across all cases. Furthermore, UVA can perform additional computations to detect any remaining redundancy after the initial reduction.
UVA possesses two key metrics for reporting: 1) the degree of redundancy for each node, as indicated by wTO and 2) the identification of latent variables encompassing redundant nodes [6]. Regarding effectiveness, [9] demonstrated that UVA surpasses existing methods in detecting local dependencies between variables. These methods include exploratory structural equation modeling [21], anti-image partial correlations [22], and expected residual correlation direct change [23].
3 Tutorial with R
We start by installing the following packages: EGAnet [6], haven [24], and lavaan [15]. In our code, we use the double colon (::) notation to explicitly indicate the package from which each function originates. This practice ensures clarity for readers who may want to utilize specific functions from the tutorial. By specifying the package, we eliminate the need for readers to trace the source of each function.
In this chapter, we utilize student response data from the Statistical Anxiety Scale (SAS) to illustrate the ordinary EGA task and data from the Statistical Anxiety Rating Scale (STARS) to demonstrate the UVA task. The SAS dataset consists of 24 items, which is a manageable size for comprehensive examination and visualization using EGA [25]. Conversely, the STARS includes 51 items, which allows for the identification of potential redundant items [26]. Both datasets are derived from the study by [26] and can be accessed via https://doi.org/10.6084/m9.figshare.5544883.v2.
The Hierarchical EGA task is illustrated using a synthesized dataset based on student responses to the Student Perspective of Teaching (SPOT) survey, a course evaluation tool employed by a Western Canadian university. The SPOT survey encompasses six dimensions that collectively measure the construct of teaching effectiveness; These dimensions are as follows: 1) course organization, 2) usefulness of course resources, 3) graded work, 4) course delivery, 5) instructional approach, and 6) class climate [27]. This characteristic enables the assessment of the hierarchical structure within the SPOT dataset. This dataset is related to the learning context as students’ feedback on courses is a vital component of information for enhancing teaching strategies.
Finally, the dynamic EGA task is demonstrated using a simulated dataset from the EGAnet package. Due to the specificity and limited public availability of multivariate time series data with repeated measures, a simulated dataset is employed for this purpose.
3.1 Examining Structure of an Educational Assessment with EGA
3.1.1 Ordinary EGA
For the EGA task, we begin by loading the dataset from [26] into our R environment using the read_sav() function. Subsequently, we extract the students’ responses to the SAS. The command df[, 56:79] is employed to subset the data frame, including columns 56 to 79, which correspond to the SAS items.
df <- read_sav(url(
"https://github.com/lamethods/data2/raw/refs/heads/main/anxiety/STARS.sav"))
df_sas <- df[,56:79]Subsequently, we perform EGA on the SAS dataset using the Louvain algorithm and the graphical LASSO model. The correlation method is set to auto-detection, allowing the analysis to determine the appropriate correlations for the data: Pearson’s for continuous data, polychoric for ordinal data, tetrachoric for binary data, and polyserial/biserial for ordinal/binary data with continuous data. The analysis iterates 1000 times to achieve consensus using the highest modularity method. The network is then plotted, and the process is seeded for reproducibility. The EGA results can be accessed by calling the EGA object created during the analysis.
sas_ega <- EGAnet::EGA(
data = df_sas,
algorithm = "louvain",
model = "glasso",
corr = "auto",
consensus.iter = 1000,
consensus.method = c("highest_modularity"),
plot.EGA = TRUE,
seed = 1234
)Output 1. EGA Output of the SAS Dataset
sas_ega$network
SAS01 SAS02 SAS03 SAS04 SAS05 SAS06
SAS01 0.00000000 0.13954516 0.00000000 0.16264704 0.000000000 0.000000000
SAS02 0.13954516 0.00000000 0.00000000 0.00000000 0.000000000 0.348424632
SAS03 0.00000000 0.00000000 0.00000000 0.00000000 0.170792804 0.000000000
SAS04 0.16264704 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
SAS05 0.00000000 0.00000000 0.17079280 0.00000000 0.000000000 0.035682121
SAS06 0.00000000 0.34842463 0.00000000 0.00000000 0.035682121 0.000000000
SAS07 0.00000000 0.01563465 0.10717373 0.00000000 0.058180097 0.038336611
SAS08 0.16078689 0.05036870 0.00000000 0.00000000 0.000000000 0.055876490
SAS09 0.21742781 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
SAS10 0.00000000 0.00000000 -0.02927052 -0.09422337 0.034917083 0.116653829
SAS11 0.04597770 0.00000000 0.00000000 0.17317008 0.002276250 0.000000000
SAS12 0.00000000 0.00000000 0.12289414 0.00000000 0.034216007 0.000000000
SAS13 0.00000000 -0.01641930 0.00000000 0.02743953 -0.015763521 0.000000000
SAS14 0.13558818 0.00000000 0.00000000 0.03053927 0.000000000 0.000000000
SAS15 0.00000000 0.00000000 0.00000000 0.35785117 0.000000000 0.000000000
SAS16 0.00000000 0.00000000 0.00000000 0.00000000 0.000000000 0.058876302
SAS17 0.02339492 0.00000000 0.17899135 0.00000000 0.000000000 0.000000000
SAS18 0.00000000 0.00000000 -0.01008430 0.00000000 0.000000000 0.000000000
SAS19 0.00000000 0.01177876 0.00000000 0.00000000 0.000000000 0.000000000
SAS20 0.00000000 0.00000000 0.00000000 0.23339857 -0.003220103 0.000000000
SAS21 0.00000000 0.00000000 0.05681180 0.00000000 0.000000000 0.000000000
SAS22 0.00000000 0.26072693 0.00000000 0.00000000 0.000000000 0.325681979
SAS23 0.00000000 0.00000000 0.12801261 -0.02982922 0.000000000 0.000000000
SAS24 0.00000000 0.00000000 0.09877589 0.00000000 0.414961600 0.003217748
SAS07 SAS08 SAS09 SAS10 SAS11 SAS12
SAS01 0.00000000 0.16078689 0.21742781 0.000000000 0.045977704 0.00000000
SAS02 0.01563465 0.05036870 0.00000000 0.000000000 0.000000000 0.00000000
SAS03 0.10717373 0.00000000 0.00000000 -0.029270518 0.000000000 0.12289414
SAS04 0.00000000 0.00000000 0.00000000 -0.094223371 0.173170084 0.00000000
SAS05 0.05818010 0.00000000 0.00000000 0.034917083 0.002276250 0.03421601
SAS06 0.03833661 0.05587649 0.00000000 0.116653829 0.000000000 0.00000000
SAS07 0.00000000 0.17313361 0.00000000 0.000000000 0.000000000 0.13315382
SAS08 0.17313361 0.00000000 0.02170079 0.027907415 0.000000000 0.00000000
SAS09 0.00000000 0.02170079 0.00000000 0.000000000 0.278033696 0.00000000
SAS10 0.00000000 0.02790741 0.00000000 0.000000000 0.000000000 0.00000000
SAS11 0.00000000 0.00000000 0.27803370 0.000000000 0.000000000 0.03492633
SAS12 0.13315382 0.00000000 0.00000000 0.000000000 0.034926327 0.00000000
SAS13 0.00000000 0.01233652 0.00000000 0.000000000 0.032681972 0.00000000
SAS14 0.00000000 0.00000000 0.14402011 0.000000000 0.325525226 0.00000000
SAS15 0.00000000 0.00000000 0.28130196 0.000000000 0.008022036 0.00000000
SAS16 0.01521270 0.17468442 0.00000000 0.169175157 0.109709164 0.08173030
SAS17 0.08609070 0.00000000 0.00000000 0.000000000 0.000000000 0.27388038
SAS18 0.00000000 0.00000000 0.00000000 0.520522868 0.000000000 0.00000000
SAS19 0.11322437 0.15427475 0.00000000 0.000000000 0.000000000 0.00000000
SAS20 0.00000000 0.08736146 0.15566449 -0.025467660 0.014652457 0.00000000
SAS21 0.17191279 0.00000000 0.00000000 0.000000000 0.000000000 0.11382712
SAS22 0.02392736 0.06943374 0.00000000 0.000000000 0.000000000 0.00000000
SAS23 0.05533681 0.00000000 0.00000000 0.000000000 0.000000000 0.05837565
SAS24 0.05441600 0.00000000 0.00000000 0.004431237 0.000000000 0.15688726
SAS13 SAS14 SAS15 SAS16 SAS17
SAS01 0.000000000 0.13558818 0.000000000 0.00000000 0.023394923
SAS02 -0.016419305 0.00000000 0.000000000 0.00000000 0.000000000
SAS03 0.000000000 0.00000000 0.000000000 0.00000000 0.178991353
SAS04 0.027439529 0.03053927 0.357851171 0.00000000 0.000000000
SAS05 -0.015763521 0.00000000 0.000000000 0.00000000 0.000000000
SAS06 0.000000000 0.00000000 0.000000000 0.05887630 0.000000000
SAS07 0.000000000 0.00000000 0.000000000 0.01521270 0.086090699
SAS08 0.012336524 0.00000000 0.000000000 0.17468442 0.000000000
SAS09 0.000000000 0.14402011 0.281301957 0.00000000 0.000000000
SAS10 0.000000000 0.00000000 0.000000000 0.16917516 0.000000000
SAS11 0.032681972 0.32552523 0.008022036 0.10970916 0.000000000
SAS12 0.000000000 0.00000000 0.000000000 0.08173030 0.273880380
SAS13 0.000000000 0.16999553 0.094692918 0.00000000 0.000000000
SAS14 0.169995530 0.00000000 0.000000000 0.00000000 0.071428064
SAS15 0.094692918 0.00000000 0.000000000 -0.11825009 -0.001281192
SAS16 0.000000000 0.00000000 -0.118250094 0.00000000 0.107426239
SAS17 0.000000000 0.07142806 -0.001281192 0.10742624 0.000000000
SAS18 -0.090593187 0.00000000 -0.004998356 0.05018332 0.000000000
SAS19 0.000000000 0.16485844 0.000000000 0.02669992 0.000000000
SAS20 0.318591947 0.00000000 0.208923077 0.00000000 -0.011322834
SAS21 0.000000000 0.00000000 0.000000000 0.03971838 0.303483878
SAS22 0.000000000 0.00000000 0.000000000 0.07634200 0.000000000
SAS23 0.000000000 0.00000000 0.000000000 0.00000000 0.119109123
SAS24 -0.002606614 0.00000000 0.000000000 0.00000000 0.031678809
SAS18 SAS19 SAS20 SAS21 SAS22 SAS23
SAS01 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
SAS02 0.000000000 0.01177876 0.000000000 0.00000000 0.260726931 0.00000000
SAS03 -0.010084298 0.00000000 0.000000000 0.05681180 0.000000000 0.12801261
SAS04 0.000000000 0.00000000 0.233398568 0.00000000 0.000000000 -0.02982922
SAS05 0.000000000 0.00000000 -0.003220103 0.00000000 0.000000000 0.00000000
SAS06 0.000000000 0.00000000 0.000000000 0.00000000 0.325681979 0.00000000
SAS07 0.000000000 0.11322437 0.000000000 0.17191279 0.023927357 0.05533681
SAS08 0.000000000 0.15427475 0.087361457 0.00000000 0.069433744 0.00000000
SAS09 0.000000000 0.00000000 0.155664490 0.00000000 0.000000000 0.00000000
SAS10 0.520522868 0.00000000 -0.025467660 0.00000000 0.000000000 0.00000000
SAS11 0.000000000 0.00000000 0.014652457 0.00000000 0.000000000 0.00000000
SAS12 0.000000000 0.00000000 0.000000000 0.11382712 0.000000000 0.05837565
SAS13 -0.090593187 0.00000000 0.318591947 0.00000000 0.000000000 0.00000000
SAS14 0.000000000 0.16485844 0.000000000 0.00000000 0.000000000 0.00000000
SAS15 -0.004998356 0.00000000 0.208923077 0.00000000 0.000000000 0.00000000
SAS16 0.050183322 0.02669992 0.000000000 0.03971838 0.076342002 0.00000000
SAS17 0.000000000 0.00000000 -0.011322834 0.30348388 0.000000000 0.11910912
SAS18 0.000000000 0.14514638 0.000000000 0.00000000 0.130607390 0.00000000
SAS19 0.145146377 0.00000000 0.000000000 0.11580811 0.137329862 0.00000000
SAS20 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000
SAS21 0.000000000 0.11580811 0.000000000 0.00000000 0.000000000 0.29848720
SAS22 0.130607390 0.13732986 0.000000000 0.00000000 0.000000000 0.04430207
SAS23 0.000000000 0.00000000 0.000000000 0.29848720 0.044302074 0.00000000
SAS24 0.032628469 0.04499005 -0.044072307 0.01715560 0.009946348 0.23398977
SAS24
SAS01 0.000000000
SAS02 0.000000000
SAS03 0.098775892
SAS04 0.000000000
SAS05 0.414961600
SAS06 0.003217748
SAS07 0.054415999
SAS08 0.000000000
SAS09 0.000000000
SAS10 0.004431237
SAS11 0.000000000
SAS12 0.156887260
SAS13 -0.002606614
SAS14 0.000000000
SAS15 0.000000000
SAS16 0.000000000
SAS17 0.031678809
SAS18 0.032628469
SAS19 0.044990050
SAS20 -0.044072307
SAS21 0.017155604
SAS22 0.009946348
SAS23 0.233989772
SAS24 0.000000000
attr(,"methods")
attr(,"methods")$corr
[1] "auto"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.0891578
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] 1860.728
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
SAS01 SAS02 SAS03 SAS04 SAS05 SAS06 SAS07 SAS08 SAS09 SAS10 SAS11 SAS12 SAS13
1 2 3 1 3 2 3 2 1 2 1 3 1
SAS14 SAS15 SAS16 SAS17 SAS18 SAS19 SAS20 SAS21 SAS22 SAS23 SAS24
1 1 2 3 2 2 1 3 2 3 3
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "higher"
attr(,"methods")$consensus.method
[1] "highest_modularity"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 3
$correlation
SAS01 SAS02 SAS03 SAS04 SAS05 SAS06
SAS01 1.00000000 0.45050151 0.24967194 0.576901370 0.156090258 0.274741236
SAS02 0.45050151 1.00000000 0.35675943 0.112443369 0.324594358 0.734381597
SAS03 0.24967194 0.35675943 1.00000000 0.084179748 0.707831719 0.376180614
SAS04 0.57690137 0.11244337 0.08417975 1.000000000 0.006933899 0.063873652
SAS05 0.15609026 0.32459436 0.70783172 0.006933899 1.000000000 0.462750235
SAS06 0.27474124 0.73438160 0.37618061 0.063873652 0.462750235 1.000000000
SAS07 0.38621475 0.50561675 0.74802041 0.010381445 0.659436469 0.556733730
SAS08 0.53544185 0.53447075 0.43892091 0.293291065 0.368905070 0.557466853
SAS09 0.66876566 0.26735318 0.22238262 0.670860670 0.185359857 0.184092475
SAS10 0.06161738 0.37227403 0.19595297 -0.236661783 0.401508537 0.516202183
SAS11 0.61414144 0.29610128 0.30693388 0.638580697 0.283975518 0.231296557
SAS12 0.30580752 0.37774877 0.78417970 0.064062319 0.681693835 0.472668202
SAS13 0.41888420 -0.02185167 0.05971821 0.565439295 -0.085886452 -0.039364465
SAS14 0.62721419 0.35173142 0.28421673 0.557451916 0.289323549 0.280981193
SAS15 0.46247861 0.04609933 -0.01090062 0.778901586 -0.007712040 0.004442447
SAS16 0.32351327 0.42594353 0.47068450 -0.022272101 0.450059098 0.562817477
SAS17 0.40567939 0.44501063 0.80866158 0.058289812 0.633308028 0.469808758
SAS18 0.11429782 0.38089090 0.22154847 -0.142601109 0.373461851 0.494833084
SAS19 0.42942779 0.50822584 0.44853180 0.215425483 0.467846259 0.541318123
SAS20 0.46021119 0.11176153 0.10365194 0.728694922 -0.083878962 0.021621654
SAS21 0.36891785 0.40611555 0.77794743 0.069167466 0.657272626 0.444209613
SAS22 0.36849001 0.71213092 0.43224055 0.053177129 0.378409600 0.764847829
SAS23 0.29690027 0.40729668 0.77637732 -0.049357096 0.649425888 0.461439064
SAS24 0.26665122 0.39409972 0.76583079 -0.031063103 0.811862050 0.498912883
SAS07 SAS08 SAS09 SAS10 SAS11 SAS12
SAS01 0.386214754 0.5354419 0.668765661 0.06161738 0.61414144 0.305807518
SAS02 0.505616752 0.5344707 0.267353175 0.37227403 0.29610128 0.377748767
SAS03 0.748020415 0.4389209 0.222382617 0.19595297 0.30693388 0.784179705
SAS04 0.010381445 0.2932911 0.670860670 -0.23666178 0.63858070 0.064062319
SAS05 0.659436469 0.3689051 0.185359857 0.40150854 0.28397552 0.681693835
SAS06 0.556733730 0.5574669 0.184092475 0.51620218 0.23129656 0.472668202
SAS07 1.000000000 0.6501769 0.227395451 0.37458139 0.32763751 0.792560371
SAS08 0.650176910 1.0000000 0.422216084 0.41084397 0.43275862 0.539182949
SAS09 0.227395451 0.4222161 1.000000000 -0.07427704 0.74945255 0.204638713
SAS10 0.374581386 0.4108440 -0.074277035 1.00000000 0.06956261 0.393290260
SAS11 0.327637507 0.4327586 0.749452548 0.06956261 1.00000000 0.383625310
SAS12 0.792560371 0.5391829 0.204638713 0.39329026 0.38362531 1.000000000
SAS13 0.094884643 0.2622670 0.531375047 -0.20356149 0.50170453 0.016818430
SAS14 0.338786511 0.4281414 0.686260656 0.12120248 0.75078638 0.350130592
SAS15 -0.009463858 0.2555588 0.726144654 -0.21162717 0.58145269 0.003829355
SAS16 0.622940563 0.6048300 0.124422122 0.56312231 0.36729482 0.635127165
SAS17 0.804617599 0.5341413 0.232928358 0.32541743 0.36101826 0.870185781
SAS18 0.413254601 0.3922600 -0.001471874 0.76321984 0.14748800 0.319170850
SAS19 0.672806890 0.6313736 0.301472870 0.36807826 0.39288356 0.543830374
SAS20 0.048452616 0.3294900 0.679076902 -0.20675211 0.57291549 -0.004475967
SAS21 0.819300497 0.5087784 0.178460885 0.32260309 0.32114793 0.832208788
SAS22 0.594225621 0.5922475 0.233721740 0.49336002 0.27158575 0.536326015
SAS23 0.764732286 0.5192142 0.225607943 0.35507357 0.27027980 0.794149413
SAS24 0.740429827 0.5082680 0.111821489 0.43366854 0.25493739 0.790278539
SAS13 SAS14 SAS15 SAS16 SAS17
SAS01 0.4188842032 0.6272142 0.462478612 0.3235132739 0.40567939
SAS02 -0.0218516718 0.3517314 0.046099335 0.4259435265 0.44501063
SAS03 0.0597182078 0.2842167 -0.010900622 0.4706845038 0.80866158
SAS04 0.5654392953 0.5574519 0.778901586 -0.0222721008 0.05828981
SAS05 -0.0858864520 0.2893235 -0.007712040 0.4500590982 0.63330803
SAS06 -0.0393644648 0.2809812 0.004442447 0.5628174772 0.46980876
SAS07 0.0948846433 0.3387865 -0.009463858 0.6229405625 0.80461760
SAS08 0.2622669857 0.4281414 0.255558761 0.6048299776 0.53414127
SAS09 0.5313750470 0.6862607 0.726144654 0.1244221220 0.23292836
SAS10 -0.2035614905 0.1212025 -0.211627174 0.5631223107 0.32541743
SAS11 0.5017045253 0.7507864 0.581452689 0.3672948176 0.36101826
SAS12 0.0168184296 0.3501306 0.003829355 0.6351271652 0.87018578
SAS13 1.0000000000 0.5248455 0.585958886 -0.0001147154 0.01432239
SAS14 0.5248455009 1.0000000 0.523734642 0.3422057431 0.46257305
SAS15 0.5859588855 0.5237346 1.000000000 -0.1317530209 -0.02968242
SAS16 -0.0001147154 0.3422057 -0.131753021 1.0000000000 0.65735047
SAS17 0.0143223924 0.4625731 -0.029682418 0.6573504685 1.00000000
SAS18 -0.2115715898 0.1851136 -0.185727612 0.5385326017 0.38726915
SAS19 0.1035027401 0.5140042 0.142694749 0.5763181334 0.58363956
SAS20 0.6764333158 0.5048302 0.734121666 0.0030207669 -0.01223749
SAS21 0.0530719280 0.3885495 -0.013167035 0.6351422117 0.89157797
SAS22 0.0080194056 0.2946034 0.041344486 0.5955365969 0.55984339
SAS23 -0.0128571005 0.2861420 -0.006490026 0.5742870097 0.82945257
SAS24 -0.0811183782 0.2639681 -0.062066171 0.5481763441 0.77209228
SAS18 SAS19 SAS20 SAS21 SAS22 SAS23
SAS01 0.114297818 0.4294278 0.460211189 0.368917847 0.368490015 0.296900274
SAS02 0.380890902 0.5082258 0.111761533 0.406115547 0.712130921 0.407296681
SAS03 0.221548469 0.4485318 0.103651936 0.777947434 0.432240546 0.776377320
SAS04 -0.142601109 0.2154255 0.728694922 0.069167466 0.053177129 -0.049357096
SAS05 0.373461851 0.4678463 -0.083878962 0.657272626 0.378409600 0.649425888
SAS06 0.494833084 0.5413181 0.021621654 0.444209613 0.764847829 0.461439064
SAS07 0.413254601 0.6728069 0.048452616 0.819300497 0.594225621 0.764732286
SAS08 0.392260027 0.6313736 0.329489987 0.508778371 0.592247493 0.519214170
SAS09 -0.001471874 0.3014729 0.679076902 0.178460885 0.233721740 0.225607943
SAS10 0.763219838 0.3680783 -0.206752115 0.322603089 0.493360018 0.355073571
SAS11 0.147488002 0.3928836 0.572915488 0.321147927 0.271585745 0.270279797
SAS12 0.319170850 0.5438304 -0.004475967 0.832208788 0.536326015 0.794149413
SAS13 -0.211571590 0.1035027 0.676433316 0.053071928 0.008019406 -0.012857100
SAS14 0.185113599 0.5140042 0.504830239 0.388549504 0.294603367 0.286142003
SAS15 -0.185727612 0.1426947 0.734121666 -0.013167035 0.041344486 -0.006490026
SAS16 0.538532602 0.5763181 0.003020767 0.635142212 0.595536597 0.574287010
SAS17 0.387269149 0.5836396 -0.012237489 0.891577966 0.559843395 0.829452568
SAS18 1.000000000 0.5281551 -0.162605751 0.336531644 0.560782544 0.352663327
SAS19 0.528155114 1.0000000 0.194318794 0.666120350 0.625413713 0.586521358
SAS20 -0.162605751 0.1943188 1.000000000 0.005151166 0.098256194 0.008394379
SAS21 0.336531644 0.6661204 0.005151166 1.000000000 0.542431750 0.862563839
SAS22 0.560782544 0.6254137 0.098256194 0.542431750 1.000000000 0.554053098
SAS23 0.352663327 0.5865214 0.008394379 0.862563839 0.554053098 1.000000000
SAS24 0.459656658 0.5933408 -0.091323297 0.767282264 0.536364378 0.808137320
SAS24
SAS01 0.26665122
SAS02 0.39409972
SAS03 0.76583079
SAS04 -0.03106310
SAS05 0.81186205
SAS06 0.49891288
SAS07 0.74042983
SAS08 0.50826801
SAS09 0.11182149
SAS10 0.43366854
SAS11 0.25493739
SAS12 0.79027854
SAS13 -0.08111838
SAS14 0.26396813
SAS15 -0.06206617
SAS16 0.54817634
SAS17 0.77209228
SAS18 0.45965666
SAS19 0.59334084
SAS20 -0.09132330
SAS21 0.76728226
SAS22 0.53636438
SAS23 0.80813732
SAS24 1.00000000
$n
[1] 202
$dim.variables
items dimension
1 SAS01 1
4 SAS04 1
9 SAS09 1
11 SAS11 1
13 SAS13 1
14 SAS14 1
15 SAS15 1
20 SAS20 1
2 SAS02 2
6 SAS06 2
8 SAS08 2
10 SAS10 2
16 SAS16 2
18 SAS18 2
19 SAS19 2
22 SAS22 2
3 SAS03 3
5 SAS05 3
7 SAS07 3
12 SAS12 3
17 SAS17 3
21 SAS21 3
23 SAS23 3
24 SAS24 3
$TEFI
[1] -28.09362
$plot.EGA
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULLsas_ega$plot.EGA #plot the EGA network graph
Figure 14.1 shows that items in the SAS dataset can be allocated into three communities, as color-coded by the red, blue, and green colors. Output 1 provides information about the network structure of the SAS dataset after 1000 iterations of network estimation. According to the output, items loaded onto community 1 are SAS items 1, 4, 9, 11, 13, 14, 15, and 20. Items loaded onto community 2 are SAS items 2, 6, 8, 10, 16, 18, 19, and 22. Items loaded onto community 3 are SAS items 3, 5, 7, 12, 17, 21, 23, and 24. The output indicates that the network structure is not unidimensional, as multiple communities are present. The SAS network structure has a TEFI of -28.094, which serves as a relative fit index. This index can be used to compare the structural uncertainty of this network with other similar network structures, whether estimated by different methods or after item removal.
Beyond a single estimation of the network structure, we can assess the dimensional stability of the SAS network structure across different variations of the dataset using bootstrap EGA. This can be performed with the EGAnet::bootEGA() function. We conduct 600 parametric iterations using the Walktrap algorithm and the graphical LASSO model. The typical structure is plotted, and the process utilizes seven cores for parallel computation with progress tracking. The summary() function is then used to obtain a summary of the bootstrapped EGA results.
sas_BOOTega <- EGAnet::bootEGA(
data = df_sas,
cor = "cor_auto",
uni.method = "louvain",
iter = 600,
type = "parametric",
EGA.type = "EGA",
model = "glasso",
algorithm = "walktrap",
consensus.method = "highest_modularity",
typicalStructure = TRUE,
plot.typicalStructure = TRUE,
ncores = 7,
progress = TRUE,
summary.table = TRUE,
seed = 1234
)Output 2. Bootstrap EGA Output of the SAS Dataset
summary(sas_BOOTega) Length Class Mode
iter 1 -none- numeric
bootGraphs 600 -none- list
boot.wc 14400 -none- numeric
boot.ndim 600 -none- numeric
summary.table 8 data.frame list
frequency 2 data.frame list
TEFI 600 -none- numeric
type 1 -none- character
EGA 7 EGA list
EGA.type 1 -none- character
typicalGraph 4 -none- list
plot.typical.ega 11 gg list Output 2 presents a summary of the bootstrap EGA results. Across 600 iterations of bootstrap resampling, the results indicate that a three-dimensional structure was identified in 90.17% of the bootstrap samples, suggesting a high likelihood that the data can be best described by three distinct dimensions. A four-dimensional structure was found in 9.67% of the samples, while a five-dimensional structure appeared in only 0.17% of the samples, indicating that these structures are less stable and less likely to represent the true underlying structure based on the utilized dataset. The median number of dimensions across the bootstrap samples is 3, with a 95% confidence interval ranging from 2.4 to 3.6. This further supports the stability of the three-dimensional structure as the most likely representation of the data.
Next, we utilize the EGAnet::dimensionStability() function to analyze the stability of dimensions and items in the bootstrapped EGA results.
dim_stability_sas <- EGAnet::dimensionStability(sas_BOOTega)
dim_stability_sasOutput 3. Dimensional Stability Output of the SAS Dataset
> dim_stability_sas
EGA Type: EGA
Bootstrap Samples: 600 (Parametric)
Proportion Replicated in Dimensions:
SAS01 SAS02 SAS03 SAS04 SAS05 SAS06 SAS07 SAS08 SAS09 SAS10
0.9683333 0.9150000 1.0000000 1.0000000 1.0000000 0.9150000 0.9783333 0.9916667 1.0000000 0.9883333
SAS11 SAS12 SAS13 SAS14 SAS15 SAS16 SAS17 SAS18 SAS19 SAS20
1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.9916667 1.0000000 0.9883333 0.9916667 1.0000000
SAS21 SAS22 SAS23 SAS24
1.0000000 0.9150000 1.0000000 1.0000000
----
Structural Consistency:
1 2 3
0.9683333 0.9016667 0.9783333 
Output 3 and Figure 2 present the structural stability results of the SAS dataset. The output shows the replication proportion of each item in the three-dimensional model of the SAS dataset. Most items have a replication proportion of 1.00, indicating that they are consistently loaded onto their respective dimensions 100% of the time across all bootstrap iterations. A few variables have slightly lower proportions, such as SAS items 2, 6, and 22, each with a proportion of 0.915, and SAS item 1 with 0.968. The structural consistency results, which represent the proportion of times that each empirical EGA dimension exactly replicates across the bootEGA samples, indicate that the identified dimensions are highly consistent. Dimension 3 is the most stable, with a consistency of 0.978, followed closely by Dimension 1 at 0.968. Dimension 2, while slightly lower in stability, still shows a high consistency at 0.902.
Overall, the dimensional stability results demonstrate that the dimensions identified in the SAS dataset are highly stable and consistent across the bootstrap samples. The high replication proportions and structural consistency values suggest that the dimensional structure is robust, with most variables consistently assigned to the same dimensions across different bootstrap samples. This indicates a robust and reliable factor structure in the data.
After obtaining the network structure of the SAS dataset through EGA, we can transform the EGA object into a CFA object using the CFA function. Subsequently, we can extract the CFA fit indices of the three-dimensional structure of the SAS dataset using the fitmeasures function as follows:
sas_ega_cfa <- EGAnet::CFA(ega.obj = sas_ega, estimator = "WLSMV",
plot.CFA = FALSE,
data = df_sas)
Output 4. CFA Model Specification and Fit Indices of the SAS Dataset
sas_ega_cfa$model
[1] "Fat 1 =~ SAS01 + SAS04 + SAS09 + SAS11 + SAS13 + SAS14 + SAS15 + SAS20 \n Fat 2 =~ SAS02 + SAS06 + SAS08 + SAS10 + SAS16 + SAS18 + SAS19 + SAS22 \n Fat 3 =~ SAS03 + SAS05 + SAS07 + SAS12 + SAS17 + SAS21 + SAS23 + SAS24"
$fit
lavaan 0.6.17 ended normally after 31 iterations
Estimator DWLS
Optimization method NLMINB
Number of model parameters 123
Number of observations 202
Number of missing patterns 1
Model Test User Model:
Standard Scaled
Test Statistic 1185.503 1076.805
Degrees of freedom 249 249
P-value (Chi-square) 0.000 0.000
Scaling correction factor 1.269
Shift parameter 142.750
simple second-order correction
$summary
Length Class Mode
1 lavaan S4
$fit.measures
chisq.scaled df pvalue cfi.scaled rmsea.scaled
1076.805 249.000 0.000 0.927 0.129
attr(,"class")
[1] "CFA"lavaan::fitMeasures(sas_ega_cfa$fit, fit.measures = c("chisq", "df", "pvalue", "cfi", "tli", "rmsea", "srmr")) chisq df pvalue cfi tli rmsea srmr
1185.503 249.000 0.000 0.980 0.977 0.137 0.125 Output 4 shows the specification of the CFA model. It defines three latent factors (Fat 1, Fat 2, Fat 3) and their corresponding observed variables (e.g., SAS01, SAS04, etc.). This specification is visualized in Figure 3. The fit summary ($fit) shows the following information: Estimator: DWLS (Diagonally Weighted Least Squares), suitable for ordinal data. Optimization method: NLMINB, an algorithm used for optimization. Number of model parameters: 123 parameters were estimated in the model. Number of observations: 202 participants in the dataset. Number of missing patterns: 1, meaning that there is only 1 datapoint missing. The model demonstrates a good fit according to the CFI and TLI, both of which are above 0.95. However, it shows a poor fit according to the RMSEA (> 0.1) and the SRMR (> 0.8). The significant chi-square test (p < .001) suggests that the model’s covariance structure significantly differs from the observed covariance structure, which may be due to the large sample size or model complexity.
3.1.2 Hierarchical EGA
For the Hierarchical EGA task, we start by loading the synthesized SPOT dataset [27] into our R environment by loading the accompanying R object of this chapter as follows:
load("LAMethod_EGA.RData")Next, similarly to the previous EGA section, we performed hierarchical EGA on the synthetic SPOT data using the Louvain algorithm and graphical LASSO model. The correlation method was set to auto-detection, allowing the analysis to determine the appropriate correlations: Pearson’s for continuous data, polychoric for ordinal data, tetrachoric for binary data, and polyserial / biserial for ordinal / binary data with continuous data. The analysis iterated 1000 times to achieve consensus using the highest modularity method. The network was plotted, and the process was seeded for reproducibility. The hierarchical EGA results can be accessed by calling the hierarchical EGA object created during the analysis.
spot_Hierega <- EGAnet::hierEGA(
data = spot_synth,
algorithm = "louvain",
model = "glasso",
corr = "auto",
consensus.iter = 1000,
consensus.method = c("highest_modularity"),
plot.EGA = TRUE,
seed = 1234
)Output 5. Hierarchical EGA Output of the SPOT Dataset
spot_Hierega$lower_order
$network
D1 D2 D3 U1 U2 U3
D1 0.000000000 0.31175049 0.22973855 0.071521569 0.000000000 0.000000000
D2 0.311750485 0.00000000 0.04194069 0.090712100 0.064867747 0.068035769
D3 0.229738547 0.04194069 0.00000000 0.045228660 0.000000000 0.142925441
U1 0.071521569 0.09071210 0.04522866 0.000000000 0.421194723 0.192833186
U2 0.000000000 0.06486775 0.00000000 0.421194723 0.000000000 0.247193958
U3 0.000000000 0.06803577 0.14292544 0.192833186 0.247193958 0.000000000
G1 0.003983906 0.08223296 0.00000000 0.000000000 0.030219795 0.003897923
G2 0.040565614 0.00000000 0.00000000 0.046023656 0.000000000 0.016600345
G3 0.000000000 0.08882899 0.08828312 0.041001322 0.000000000 0.025604983
DL1 0.112763308 0.00000000 0.17031897 0.000000000 0.000000000 0.109103461
DL2 0.067654933 0.08586068 0.00000000 0.003432308 0.002788897 0.063082046
DL3 0.000000000 0.00000000 0.00000000 0.000000000 0.153503962 0.000000000
I1 0.000000000 0.18429697 0.00000000 0.000000000 0.000000000 0.000000000
I2 0.000000000 0.00000000 0.05811520 0.009564913 0.023730863 0.000000000
I3 0.000000000 0.00000000 0.10573556 0.000000000 0.000000000 0.054524428
C1 0.000000000 0.04292902 0.00000000 0.000000000 0.034581241 0.000000000
C2 0.000000000 0.02545206 0.00000000 0.000000000 0.000000000 0.000000000
C3 0.048734749 0.00000000 0.00000000 0.000000000 0.000000000 0.038716494
G1 G2 G3 DL1 DL2 DL3
D1 0.003983906 0.04056561 0.000000000 0.11276331 0.067654933 0.000000000
D2 0.082232961 0.00000000 0.088828993 0.00000000 0.085860680 0.000000000
D3 0.000000000 0.00000000 0.088283120 0.17031897 0.000000000 0.000000000
U1 0.000000000 0.04602366 0.041001322 0.00000000 0.003432308 0.000000000
U2 0.030219795 0.00000000 0.000000000 0.00000000 0.002788897 0.153503962
U3 0.003897923 0.01660034 0.025604983 0.10910346 0.063082046 0.000000000
G1 0.000000000 0.38357000 0.145215769 0.00000000 0.000000000 0.000000000
G2 0.383569998 0.00000000 0.382156096 0.01583616 0.137052080 0.020947510
G3 0.145215769 0.38215610 0.000000000 0.00000000 0.000000000 0.062754690
DL1 0.000000000 0.01583616 0.000000000 0.00000000 0.180404556 0.111762995
DL2 0.000000000 0.13705208 0.000000000 0.18040456 0.000000000 0.205951504
DL3 0.000000000 0.02094751 0.062754690 0.11176300 0.205951504 0.000000000
I1 0.000000000 0.00000000 0.022858398 0.02798456 0.024810392 0.000000000
I2 0.000000000 0.00000000 0.004619435 0.02790812 0.000000000 0.000000000
I3 0.080511476 0.01399557 0.089210271 0.00000000 0.000000000 0.023965223
C1 0.000000000 0.07230388 0.000000000 0.02588283 0.020655722 0.007235621
C2 0.129313361 0.03929541 0.031844317 0.00000000 0.000000000 0.134315531
C3 0.003501554 0.00000000 0.000000000 0.02158128 0.000000000 0.068756211
I1 I2 I3 C1 C2 C3
D1 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.048734749
D2 0.18429697 0.000000000 0.00000000 0.042929022 0.02545206 0.000000000
D3 0.00000000 0.058115203 0.10573556 0.000000000 0.00000000 0.000000000
U1 0.00000000 0.009564913 0.00000000 0.000000000 0.00000000 0.000000000
U2 0.00000000 0.023730863 0.00000000 0.034581241 0.00000000 0.000000000
U3 0.00000000 0.000000000 0.05452443 0.000000000 0.00000000 0.038716494
G1 0.00000000 0.000000000 0.08051148 0.000000000 0.12931336 0.003501554
G2 0.00000000 0.000000000 0.01399557 0.072303881 0.03929541 0.000000000
G3 0.02285840 0.004619435 0.08921027 0.000000000 0.03184432 0.000000000
DL1 0.02798456 0.027908123 0.00000000 0.025882825 0.00000000 0.021581279
DL2 0.02481039 0.000000000 0.00000000 0.020655722 0.00000000 0.000000000
DL3 0.00000000 0.000000000 0.02396522 0.007235621 0.13431553 0.068756211
I1 0.00000000 0.451771143 0.05198146 0.098495365 0.00000000 0.000000000
I2 0.45177114 0.000000000 0.20175119 0.020609518 0.07411493 0.224940747
I3 0.05198146 0.201751191 0.00000000 0.000000000 0.01111856 0.056560556
C1 0.09849537 0.020609518 0.00000000 0.000000000 0.40682459 0.139532633
C2 0.00000000 0.074114927 0.01111856 0.406824589 0.00000000 0.239992325
C3 0.00000000 0.224940747 0.05656056 0.139532633 0.23999232 0.000000000
attr(,"methods")
attr(,"methods")$corr
[1] "auto"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.07667351
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] 5879.821
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
D1 D2 D3 U1 U2 U3 G1 G2 G3 DL1 DL2 DL3 I1 I2 I3 C1 C2 C3
1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "lower"
attr(,"methods")$consensus.method
[1] "most_common"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 6
$correlation
D1 D2 D3 U1 U2 U3 G1
D1 1.0000000 0.6653211 0.5924142 0.5060048 0.4643548 0.4649002 0.4569528
D2 0.6653211 1.0000000 0.5394289 0.5663290 0.5469807 0.5531616 0.5437713
D3 0.5924142 0.5394289 1.0000000 0.4905501 0.3892720 0.5462807 0.4129675
U1 0.5060048 0.5663290 0.4905501 1.0000000 0.7380877 0.6446505 0.4529804
U2 0.4643548 0.5469807 0.3892720 0.7380877 1.0000000 0.6600153 0.4561968
U3 0.4649002 0.5531616 0.5462807 0.6446505 0.6600153 1.0000000 0.4553305
G1 0.4569528 0.5437713 0.4129675 0.4529804 0.4561968 0.4553305 1.0000000
G2 0.4994201 0.5426921 0.4573678 0.5030311 0.4782201 0.4957950 0.7585078
G3 0.4810833 0.5714610 0.5078272 0.4983663 0.4657204 0.4952597 0.6689700
DL1 0.5039738 0.4343519 0.5278917 0.3804004 0.3559732 0.4965679 0.3521410
DL2 0.4773714 0.5123170 0.4043932 0.4312133 0.4378617 0.4697410 0.4364776
DL3 0.3866396 0.3930522 0.3265080 0.3827205 0.5051305 0.4351555 0.4263124
I1 0.3735863 0.5683934 0.3889146 0.3864064 0.3906432 0.4190889 0.4160522
I2 0.4047888 0.5060074 0.4674346 0.4244526 0.4324051 0.4368345 0.4427439
I3 0.3415117 0.3955234 0.4589693 0.3517018 0.3753812 0.4269812 0.4683853
C1 0.4201705 0.5004386 0.2751434 0.3974762 0.4328159 0.3716334 0.4675625
C2 0.4146561 0.5155846 0.4266007 0.4089413 0.4373781 0.4204628 0.5689787
C3 0.4306700 0.4661244 0.4057765 0.4003108 0.4034717 0.4286942 0.4537242
G2 G3 DL1 DL2 DL3 I1 I2
D1 0.4994201 0.4810833 0.5039738 0.4773714 0.3866396 0.3735863 0.4047888
D2 0.5426921 0.5714610 0.4343519 0.5123170 0.3930522 0.5683934 0.5060074
D3 0.4573678 0.5078272 0.5278917 0.4043932 0.3265080 0.3889146 0.4674346
U1 0.5030311 0.4983663 0.3804004 0.4312133 0.3827205 0.3864064 0.4244526
U2 0.4782201 0.4657204 0.3559732 0.4378617 0.5051305 0.3906432 0.4324051
U3 0.4957950 0.4952597 0.4965679 0.4697410 0.4351555 0.4190889 0.4368345
G1 0.7585078 0.6689700 0.3521410 0.4364776 0.4263124 0.4160522 0.4427439
G2 1.0000000 0.7667351 0.4500464 0.5356153 0.4865020 0.4221984 0.4522898
G3 0.7667351 1.0000000 0.4067644 0.4575292 0.4791179 0.4638952 0.4760341
DL1 0.4500464 0.4067644 1.0000000 0.5195780 0.4679339 0.4074725 0.4227141
DL2 0.5356153 0.4575292 0.5195780 1.0000000 0.5319478 0.4076464 0.3947661
DL3 0.4865020 0.4791179 0.4679339 0.5319478 1.0000000 0.3857104 0.3947182
I1 0.4221984 0.4638952 0.4074725 0.4076464 0.3857104 1.0000000 0.7334826
I2 0.4522898 0.4760341 0.4227141 0.3947661 0.3947182 0.7334826 1.0000000
I3 0.4688576 0.4902870 0.3682973 0.3216808 0.3813061 0.4834193 0.5645580
C1 0.5308060 0.3972760 0.4050250 0.4211068 0.4524613 0.5151800 0.5304852
C2 0.5697072 0.5349415 0.4138131 0.4066248 0.5230070 0.4757011 0.5648841
C3 0.4584191 0.4211152 0.4025941 0.3948652 0.4587718 0.4990003 0.6129944
I3 C1 C2 C3
D1 0.3415117 0.4201705 0.4146561 0.4306700
D2 0.3955234 0.5004386 0.5155846 0.4661244
D3 0.4589693 0.2751434 0.4266007 0.4057765
U1 0.3517018 0.3974762 0.4089413 0.4003108
U2 0.3753812 0.4328159 0.4373781 0.4034717
U3 0.4269812 0.3716334 0.4204628 0.4286942
G1 0.4683853 0.4675625 0.5689787 0.4537242
G2 0.4688576 0.5308060 0.5697072 0.4584191
G3 0.4902870 0.3972760 0.5349415 0.4211152
DL1 0.3682973 0.4050250 0.4138131 0.4025941
DL2 0.3216808 0.4211068 0.4066248 0.3948652
DL3 0.3813061 0.4524613 0.5230070 0.4587718
I1 0.4834193 0.5151800 0.4757011 0.4990003
I2 0.5645580 0.5304852 0.5648841 0.6129944
I3 1.0000000 0.3883505 0.4513285 0.4576049
C1 0.3883505 1.0000000 0.7363546 0.5950747
C2 0.4513285 0.7363546 1.0000000 0.6546888
C3 0.4576049 0.5950747 0.6546888 1.0000000
$n
[1] 695
$dim.variables
items dimension
1 D1 1
2 D2 1
3 D3 1
4 U1 2
5 U2 2
6 U3 2
7 G1 3
8 G2 3
9 G3 3
10 DL1 4
11 DL2 4
12 DL3 4
13 I1 5
14 I2 5
15 I3 5
16 C1 6
17 C2 6
18 C3 6
$TEFI
[1] 4.479716
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULL
$higher_order
$network
1 2 3 4 5 6
1 0.00000000 0.23838608 0.19665095 0.1846771 0.12106585 0.09047113
2 0.23838608 0.00000000 0.16551951 0.1597440 0.09616628 0.09537197
3 0.19665095 0.16551951 0.00000000 0.1695445 0.09140881 0.20114798
4 0.18467709 0.15974396 0.16954445 0.0000000 0.11401006 0.15758737
5 0.12106585 0.09616628 0.09140881 0.1140101 0.00000000 0.33507923
6 0.09047113 0.09537197 0.20114798 0.1575874 0.33507923 0.00000000
attr(,"methods")
attr(,"methods")$corr
[1] "auto"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.0597492
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] 2738.464
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
1 2 3 4 5 6
1 1 1 1 1 1
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$objective_function
NULL
attr(,"class")
[1] "EGA.community"
$n.dim
[1] 1
$correlation
1 2 3 4 5 6
1 1.0000000 0.5450956 0.5386236 0.5254403 0.4763766 0.4900604
2 0.5450956 1.0000000 0.5102505 0.4995730 0.4506540 0.4734877
3 0.5386236 0.5102505 1.0000000 0.5202194 0.4748221 0.5418045
4 0.5254403 0.4995730 0.5202194 1.0000000 0.4742039 0.5151640
5 0.4763766 0.4506540 0.4748221 0.4742039 1.0000000 0.5974920
6 0.4900604 0.4734877 0.5418045 0.5151640 0.5974920 1.0000000
$n
[1] 695
$dim.variables
items dimension
1 1 1
2 2 1
3 3 1
4 4 1
5 5 1
6 6 1
$TEFI
[1] -26.59059
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] TRUE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULL
$parameters
$parameters$lower_loadings
1 2 3 4 5 6
D1 0.32041855 0.04227599 0.025664404 0.116839023 0.000000000 0.02910568
D2 0.20929180 0.13217790 0.098546585 0.055603457 0.113240964 0.04083899
D3 0.16076238 0.11121680 0.050858766 0.110298727 0.100677829 0.00000000
U2 0.03838458 0.39508069 0.017409234 0.101215404 0.014581389 0.02065283
U1 0.12276293 0.36294835 0.050133967 0.002222766 0.005877145 0.00000000
U3 0.12483334 0.26009750 0.026559488 0.111507497 0.033502444 0.02312251
G2 0.02400413 0.03701668 0.441124924 0.112576198 0.008599554 0.06665005
G1 0.05101762 0.02016679 0.304626658 0.000000000 0.049470142 0.07932058
G3 0.10480361 0.03937060 0.303812128 0.040639996 0.071698811 0.01901827
DL2 0.09084071 0.04096475 0.078953935 0.250204550 0.015244704 0.01233614
DL3 0.00000000 0.09073531 0.048219757 0.205752210 0.014725391 0.12560112
DL1 0.16750997 0.06449043 0.009123010 0.189207983 0.034343165 0.02834682
I2 0.03438886 0.01968094 0.002661197 0.018073327 0.401555703 0.19091251
I1 0.10905515 0.00000000 0.013168428 0.034190061 0.309529944 0.05882404
I3 0.06256754 0.03222907 0.105837176 0.015519901 0.155905603 0.04041976
C2 0.01506090 0.00000000 0.115478439 0.086982865 0.052371574 0.38629616
C1 0.02540265 0.02044077 0.041653333 0.034824202 0.073183796 0.32629898
C3 0.02883811 0.02288510 0.002017200 0.058502643 0.172968004 0.22666234
$parameters$lower_scores
1 2 3 4 5
[1,] -0.24932628 -1.07954059 -1.052033630 -0.345820535 -0.71303141
[2,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[3,] -0.18968816 -0.71060053 -0.627595040 -0.427147648 0.41574804
[4,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[5,] 0.76114169 1.07765164 1.179744319 -0.175358083 0.41574804
[6,] -0.70983168 -0.19668709 -1.052033630 -0.686745438 0.76561858
[7,] -0.70983168 -0.52426593 -0.420389738 -0.104528928 -0.82965492
[8,] -0.70983168 1.07765164 -1.052033630 -0.297348754 -0.38610488
[9,] -0.27051948 -1.07954059 -1.052033630 0.505146856 0.64899507
[10,] NA NA NA NA NA
[11,] -0.04325076 0.65690550 0.328550237 0.090841848 -0.73348188
[12,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[13,] 0.42023861 1.07765164 -0.620264146 -0.250083055 0.41574804
[14,] -0.59619732 -0.10351979 0.011379746 -0.686745438 -0.45339511
[15,] 0.76114169 -0.52613050 1.179744319 0.650700983 -0.42451229
[16,] -0.70983168 -1.07954059 -1.052033630 -0.250083055 -0.82965492
[17,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[18,] 0.76114169 1.07765164 1.179744319 0.261304299 0.76561858
[19,] 1.25146615 1.79671572 1.923670301 1.096516457 1.37512542
[20,] -0.59619732 -1.07954059 0.435818336 0.236395975 -0.26948137
[21,] 0.12139586 0.96380374 -0.204504996 -0.021995732 1.37512542
[22,] -0.27051948 1.07765164 1.179744319 -0.006240499 0.76561858
[23,] 0.24099817 -0.38115712 0.011379746 0.214038601 -0.45339511
[24,] 0.76114169 1.07765164 0.963859577 0.214038601 0.76561858
[25,] -0.27051948 0.30678148 1.179744319 0.650700983 0.76561858
[26,] 0.42023861 0.30678148 -1.052033630 0.650700983 -0.42451229
[27,] -0.70983168 -1.07954059 -1.052033630 -0.256685197 -0.42451229
[28,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[29,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[30,] -0.70983168 -0.01035250 -0.204504996 0.115750172 -0.35722207
[31,] -0.48256296 -0.56562715 -1.052033630 -0.686745438 -1.06290195
[32,] -0.25231026 -0.19668709 0.011379746 -0.395637183 0.38935877
[33,] -0.02504154 -1.07954059 -1.052033630 0.414666651 -0.82965492
[34,] 0.27081723 -0.52613050 0.119996390 -0.395637183 -0.26948137
[35,] -0.48256296 0.35858756 -1.052033630 -0.029803956 -0.82965492
[36,] -0.70983168 -0.71060053 -1.052033630 -0.686745438 -1.06290195
[37,] 0.42023861 -0.56562715 -1.052033630 -0.686745438 -0.42451229
[38,] 0.15718287 0.08095024 0.435818336 -0.216021640 -0.26948137
[39,] -0.02205756 -0.56562715 1.179744319 -0.256685197 -0.07464174
[40,] 0.76114169 1.07765164 1.179744319 0.650700983 -0.38610488
[41,] 0.56070805 0.96380374 1.923670301 1.096516457 1.37512542
[42,] 0.30362027 0.10163085 -0.836148888 -0.686745438 0.64899507
[43,] 0.76114169 1.07765164 -0.415375746 0.650700983 0.41574804
[44,] -0.48256296 -0.54494654 -1.052033630 -0.686745438 -0.82965492
[45,] -0.47957898 0.35858756 1.179744319 0.414666651 -0.26948137
[46,] 1.25146615 1.79671572 -0.620264146 0.514299947 -0.33677159
[47,] 0.32182949 1.07765164 0.232278480 0.650700983 0.76561858
[48,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[49,] 0.12139586 -0.19668709 -0.208170443 -0.167549859 -0.71303141
[50,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.42451229
[51,] -0.48256296 -0.71060053 -1.052033630 0.214038601 -0.94627843
[52,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.82965492
[53,] 0.76114169 -0.30867043 0.011379746 0.650700983 0.41574804
[54,] -0.70983168 0.06026963 -1.052033630 -0.256685197 -1.06290195
[55,] -0.48256296 -0.71060053 0.435818336 -0.200266407 -0.38610488
[56,] 0.04354851 -1.07954059 -0.420389738 0.406858427 0.64899507
[57,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[58,] 0.15718287 -0.56562715 1.067462228 0.836918667 -0.26948137
[59,] 1.25146615 1.79671572 1.923670301 1.096516457 1.37512542
[60,] -0.13569192 -0.24662861 0.532090093 -0.686745438 -0.78281517
[61,] 0.76114169 0.89318161 0.532090093 -0.516282986 0.76561858
[62,] -0.70983168 -0.56562715 -0.420389738 -0.556946543 -0.82965492
[63,] -0.48256296 -1.07954059 -1.052033630 -0.686745438 0.15611174
[64,] -0.24932628 -1.07954059 -1.052033630 -0.345820535 -1.06290195
[65,] 0.42023861 1.07765164 1.179744319 0.650700983 0.76561858
[66,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[67,] -0.70983168 0.30678148 0.532090093 -0.395637183 -0.42451229
[68,] -0.70983168 -1.07954059 -0.104567791 -0.686745438 -0.82965492
[69,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.19126526
[70,] -0.27051948 1.07765164 1.179744319 0.204885510 -0.42451229
[71,] -0.59619732 -1.07954059 -1.052033630 -0.686745438 -0.50272840
[72,] 0.42023861 0.52424155 -1.052033630 -0.250083055 -1.06290195
[73,] -0.27051948 -0.52613050 -1.052033630 -0.136039393 -0.42451229
[74,] 0.32182949 1.07765164 1.179744319 0.650700983 -0.85010540
[75,] NA NA NA NA NA
[76,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[77,] 0.76114169 -0.52613050 1.179744319 0.261304299 -0.82965492
[78,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[79,] -0.70983168 -0.56562715 0.435818336 0.204885510 0.15611174
[80,] 0.42023861 -1.07954059 -1.052033630 0.505146856 -0.19126526
[81,] -0.41695688 -0.52426593 -0.736211684 -0.686745438 -0.82965492
[82,] 0.46826689 -0.56562715 -1.052033630 0.139313629 1.37512542
[83,] 0.76114169 -0.52613050 1.179744319 0.214038601 0.76561858
[84,] 0.09157680 1.07765164 1.179744319 0.002912592 -0.50023485
[85,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[86,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[87,] -0.70983168 1.07765164 -0.415375746 0.650700983 0.76561858
[88,] -0.27051948 0.10163085 -1.052033630 -0.175358083 0.76561858
[89,] 0.76114169 0.24660422 1.179744319 0.650700983 -0.42451229
[90,] 0.07038360 0.30678148 1.179744319 0.261304299 0.76561858
[91,] NA NA NA NA NA
[92,] -0.70983168 1.07765164 0.963859577 0.480238532 -0.45339511
[93,] 0.76114169 1.07765164 0.435818336 0.139313629 -0.71303141
[94,] -0.56339428 -0.56562715 -0.620264146 -0.686745438 -1.06290195
[95,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.82965492
[96,] 0.76114169 -0.52613050 -1.052033630 0.214038601 -0.63730884
[97,] -0.36892860 -0.71060053 0.011379746 -0.395637183 0.15611174
[98,] -0.36892860 1.07765164 1.179744319 0.139313629 0.76561858
[99,] 0.42023861 1.07765164 -1.052033630 0.650700983 0.12722892
[100,] -0.02205756 -0.17600648 0.011379746 0.148466720 -0.33677159
[101,] 0.15718287 -0.54494654 0.223599041 -0.240929964 -0.02780200
[102,] -0.36594462 -0.52426593 -1.052033630 -0.686745438 -1.06290195
[103,] -0.15688512 -0.17600648 -0.620264146 -0.516282986 -0.19126526
[104,] 0.42023861 -1.07954059 1.179744319 -0.029803956 -0.42451229
[105,] -0.24932628 -0.71060053 -1.052033630 -0.686745438 -1.06290195
[106,] -0.70983168 0.12231145 -0.415375746 0.650700983 0.76561858
[107,] -0.70983168 0.30678148 -0.104567791 -0.281593521 -0.07464174
[108,] -0.24932628 -1.07954059 0.532090093 -0.686745438 -0.82965492
[109,] 0.76114169 1.07765164 -1.052033630 -0.297348754 0.76561858
[110,] 0.42023861 -1.07954059 0.532090093 0.650700983 -0.19126526
[111,] 0.32182949 -0.89507056 0.644372183 -0.265838288 -0.17081478
[112,] 0.42023861 -0.30867043 -1.052033630 -0.686745438 -0.82965492
[113,] -0.01907358 -0.71060053 1.179744319 0.650700983 -0.07464174
[114,] -0.48256296 -0.19668709 -0.620264146 0.059331382 0.13566126
[115,] -0.02205756 -0.71060053 0.435818336 -0.686745438 0.76561858
[116,] -0.70983168 -1.07954059 -1.052033630 0.261304299 -0.42451229
[117,] -0.70983168 -0.24662861 -0.195825557 0.796255111 0.41574804
[118,] -0.47957898 1.07765164 1.179744319 0.229793834 -0.66619166
[119,] NA NA NA NA NA
[120,] 0.76114169 -0.30867043 1.179744319 0.650700983 0.76561858
[121,] -0.27051948 -0.71060053 0.127327284 -0.029803956 -0.07464174
[122,] -0.41695688 -0.30867043 0.435818336 -0.686745438 0.41574804
[123,] -0.70983168 0.52424155 -1.052033630 -0.250083055 -0.50272840
[124,] -0.10885684 0.19293358 -0.520326942 0.309776080 1.37512542
[125,] 0.76114169 0.30678148 1.179744319 0.505146856 0.76561858
[126,] -0.36892860 1.07765164 0.543086434 -0.541191310 0.08882152
[127,] 0.12437984 -0.63811384 0.435818336 -0.216021640 -0.33677159
[128,] -0.18968816 -0.24662861 -0.620264146 -0.541191310 -0.42451229
[129,] 0.76114169 1.07765164 1.179744319 0.261304299 -0.71303141
[130,] -0.48256296 -1.07954059 -1.052033630 -0.395637183 -0.82965492
[131,] -0.01907358 -0.30867043 -1.052033630 -0.686745438 0.01060540
[132,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 0.36890829
[133,] -0.02205756 0.35858756 0.011379746 0.375347961 -0.14442551
[134,] 0.53088899 -1.07954059 0.004048852 0.220640742 0.76561858
[135,] 0.07038360 -0.30867043 -0.404379404 -0.686745438 0.20295148
[136,] -0.70983168 1.07765164 -0.415375746 0.139313629 0.76561858
[137,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 0.41574804
[138,] 0.76114169 0.89318161 -1.052033630 -0.281593521 0.41574804
[139,] -0.36892860 -1.07954059 -1.052033630 -0.686745438 0.76561858
[140,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[141,] 0.09157680 -1.07954059 1.179744319 0.214038601 0.76561858
[142,] -0.15688512 -0.52426593 -1.052033630 -0.427147648 -0.07464174
[143,] 0.91056307 -0.19668709 -0.420389738 0.805408202 -0.50272840
[144,] 0.76114169 1.07765164 0.543086434 0.261304299 -0.07464174
[145,] -0.36892860 -1.07954059 1.179744319 0.650700983 0.76561858
[146,] 0.07038360 1.07765164 1.179744319 0.650700983 0.41574804
[147,] 0.42023861 1.07765164 1.179744319 0.214038601 0.76561858
[148,] -0.70983168 0.35858756 -1.052033630 -0.395637183 0.76561858
[149,] -0.70983168 -1.07954059 -0.627595040 -0.686745438 0.64899507
[150,] -0.70983168 -0.36047651 0.007714299 0.650700983 0.15611174
[151,] 0.42023861 -0.52426593 -1.052033630 0.359592728 -0.19126526
[152,] -0.24932628 -0.24662861 -1.052033630 -0.200266407 -0.50272840
[153,] 0.76114169 1.07765164 1.179744319 0.214038601 0.76561858
[154,] -0.27051948 -1.07954059 -0.620264146 -0.686745438 -1.06290195
[155,] 0.76114169 0.52424155 1.179744319 0.650700983 0.76561858
[156,] -0.47957898 -0.89507056 0.435818336 -0.104528928 0.38935877
[157,] 0.12437984 0.35858756 0.223599041 -0.200266407 -0.26948137
[158,] 0.76114169 1.07765164 -0.627595040 0.650700983 0.76561858
[159,] -0.70983168 -0.19668709 0.532090093 0.115750172 0.41574804
[160,] -0.33612556 -0.89507056 -0.620264146 0.359592728 -0.45339511
[161,] 0.42023861 -1.07954059 0.435818336 0.139313629 -0.03623434
[162,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[163,] -0.70983168 1.07765164 -0.195825557 -0.556946543 -0.54956814
[164,] 0.32182949 -1.07954059 -1.052033630 0.214038601 -0.42451229
[165,] -0.27051948 1.07765164 1.179744319 0.650700983 0.48553181
[166,] NA NA NA NA NA
[167,] 0.76114169 1.07765164 0.532090093 0.139313629 1.37512542
[168,] -0.48256296 0.35858756 0.011379746 0.204885510 -0.17330833
[169,] -0.27051948 1.07765164 1.179744319 0.261304299 0.76561858
[170,] -0.21950722 0.17411753 0.007714299 0.214038601 -0.03623434
[171,] -0.48256296 -0.56562715 -1.052033630 -0.686745438 -0.82965492
[172,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[173,] -0.70983168 0.52424155 -1.052033630 -0.086222745 -0.26948137
[174,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[175,] 0.07038360 0.52424155 1.179744319 0.650700983 0.76561858
[176,] -0.01907358 -0.01035250 0.119996390 0.261304299 -0.26948137
[177,] 0.04354851 -1.07954059 0.435818336 -0.427147648 0.15611174
[178,] -0.27051948 -0.24662861 1.179744319 0.115750172 0.64899507
[179,] -0.24932628 -1.07954059 -0.415375746 -0.427147648 -0.19126526
[180,] -0.02205756 -0.63811384 1.276016076 0.416011518 -0.19126526
[181,] 0.76114169 0.24473966 -0.204504996 -0.006240499 0.76561858
[182,] 0.01074548 0.17411753 -0.095888352 0.115750172 -0.28993185
[183,] -0.70983168 -1.07954059 -1.052033630 -0.556946543 -1.06290195
[184,] 1.25146615 0.19293358 0.976204463 0.414666651 1.37512542
[185,] -0.36892860 -0.43296320 -1.052033630 -0.345820535 -0.42451229
[186,] 0.76114169 1.07765164 0.543086434 0.821163435 0.60215532
[187,] -0.24932628 -1.07954059 -1.052033630 -0.541191310 0.64899507
[188,] -0.01907358 -1.07954059 -1.052033630 -0.427147648 -0.42451229
[189,] 0.07038360 0.80001431 1.179744319 -0.345820535 0.76561858
[190,] -0.70983168 -1.07954059 0.532090093 -0.395637183 0.08882152
[191,] -0.13569192 -0.10351979 1.179744319 -0.256685197 -0.82965492
[192,] 0.42023861 0.52424155 1.179744319 -0.541191310 -0.30788877
[193,] 0.07038360 0.24473966 0.644372183 -0.686745438 -0.17081478
[194,] NA NA NA NA NA
[195,] 0.30362027 0.03100872 -0.308107647 -0.541191310 -0.31632112
[196,] -0.70983168 -0.24662861 -1.052033630 -0.054712280 0.69583481
[197,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.82965492
[198,] 0.76114169 0.52424155 1.179744319 0.650700983 0.76561858
[199,] -0.59619732 -0.71060053 -0.420389738 -0.395637183 0.76561858
[200,] NA NA NA NA NA
[201,] -0.36594462 -0.71060053 -0.092222905 -0.541191310 -0.59640789
[202,] -0.33612556 -1.07954059 -1.052033630 -0.029803956 -0.42451229
[203,] -0.21950722 -0.89507056 0.435818336 0.025269967 -0.94627843
[204,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.82965492
[205,] -0.70983168 -0.71060053 -1.052033630 -0.686745438 -1.06290195
[206,] -0.70983168 -1.07954059 -1.052033630 0.650700983 -0.07464174
[207,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[208,] NA NA NA NA NA
[209,] 0.07038360 0.30678148 1.179744319 0.650700983 0.76561858
[210,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[211,] -0.70983168 -0.30867043 -1.052033630 0.520902089 0.76561858
[212,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[213,] 0.04354851 -1.07954059 0.435818336 -0.686745438 -1.06290195
[214,] -0.70983168 -1.07954059 -0.620264146 -0.686745438 -1.06290195
[215,] NA NA NA NA NA
[216,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[217,] -0.21950722 0.10163085 -0.415375746 0.025269967 -0.66619166
[218,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[219,] 0.64750733 -0.19668709 -0.620264146 0.359592728 -0.94627843
[220,] 0.07038360 0.24473966 -0.415375746 -0.686745438 0.41574804
[221,] -0.70983168 -1.07954059 -1.052033630 -0.395637183 0.12722892
[222,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[223,] -0.07306982 -0.52426593 -0.839814335 -0.686745438 -1.06290195
[224,] 0.20819513 -1.07954059 -1.052033630 0.650700983 -0.19126526
[225,] -0.36892860 -0.52613050 -1.052033630 -0.686745438 -1.06290195
[226,] 1.25146615 1.79671572 1.287012417 1.096516457 1.37512542
[227,] 0.12139586 -0.63811384 0.339546579 0.148466720 1.37512542
[228,] -0.48256296 -0.01035250 -1.052033630 -0.395637183 -0.19126526
[229,] -0.48256296 -1.07954059 -0.420389738 -0.297348754 0.43619851
[230,] -0.48256296 0.35858756 0.435818336 0.059331382 -0.66619166
[231,] 0.76114169 1.07765164 0.532090093 0.139313629 0.76561858
[232,] -0.21950722 -0.56562715 0.007714299 -0.395637183 0.38935877
[233,] 0.76114169 -0.24662861 1.179744319 0.261304299 0.76561858
[234,] 0.76114169 1.07765164 0.007714299 0.650700983 0.88224210
[235,] 0.76114169 1.07765164 -1.052033630 0.650700983 -0.07464174
[236,] 1.25146615 1.79671572 1.923670301 1.096516457 1.37512542
[237,] 0.76114169 -0.52613050 0.532090093 0.359592728 0.41574804
[238,] 0.18700194 -0.01035250 -1.052033630 -0.265838288 -0.82965492
[239,] 0.04056454 -1.07954059 -1.052033630 -0.021995732 -0.82965492
[240,] 0.12139586 0.41039364 -1.052033630 0.124903263 -0.10352456
[241,] -0.48256296 -0.30867043 -0.420389738 -0.395637183 0.15611174
[242,] 0.76114169 1.07765164 1.179744319 0.214038601 0.76561858
[243,] -0.70983168 0.52424155 1.179744319 -0.297348754 -0.42451229
[244,] 0.12139586 -0.38115712 -0.092222905 -0.395637183 -0.10352456
[245,] -0.13569192 -0.52426593 -1.052033630 -0.175358083 0.12722892
[246,] -0.24932628 -1.07954059 0.004048852 0.123558396 -0.82965492
[247,] -0.24932628 1.07765164 0.232278480 0.254702158 -0.43294463
[248,] NA NA NA NA NA
[249,] NA NA NA NA NA
[250,] 0.20819513 -0.63811384 -0.404379404 0.561565645 -0.19126526
[251,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[252,] -0.10587286 -0.19668709 -1.052033630 -0.541191310 -0.71303141
[253,] 0.42023861 1.07765164 -0.620264146 0.650700983 0.41574804
[254,] -0.10288888 -0.71060053 -1.052033630 -0.281593521 -0.50272840
[255,] 0.76114169 -0.30867043 1.179744319 0.650700983 0.76561858
[256,] -0.70983168 -0.71060053 -1.052033630 -0.541191310 0.41574804
[257,] -0.18968816 0.35858756 -0.404379404 -0.686745438 -0.73348188
[258,] -0.70983168 -1.07954059 0.543086434 0.650700983 0.76561858
[259,] 0.76114169 1.07765164 1.179744319 0.520902089 0.76561858
[260,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[261,] 0.76114169 0.24473966 0.532090093 0.214038601 0.41574804
[262,] 0.76114169 1.07765164 1.179744319 0.261304299 0.76561858
[263,] -0.01907358 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[264,] -0.10587286 -1.07954059 -1.052033630 -0.216021640 -0.63730884
[265,] 0.18998591 1.07765164 1.179744319 -0.686745438 0.76561858
[266,] 0.64750733 1.07765164 -1.052033630 -0.151794626 0.86179162
[267,] NA NA NA NA NA
[268,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[269,] -0.56339428 -0.71060053 -0.404379404 0.261304299 -0.07713529
[270,] -0.10587286 0.17411753 -0.408044851 -0.029803956 -0.82965492
[271,] -0.59619732 -1.07954059 0.011379746 -0.686745438 -1.06290195
[272,] 0.42023861 1.07765164 1.179744319 0.650700983 0.76561858
[273,] 0.76114169 -1.07954059 -1.052033630 0.505146856 -0.42451229
[274,] -0.24932628 1.07765164 1.179744319 0.650700983 -0.22264162
[275,] 0.42023861 -0.45364381 -0.420389738 -0.297348754 0.53237155
[276,] -0.36892860 -0.19668709 -0.104567791 -0.345820535 -1.06290195
[277,] 0.76114169 1.07765164 1.179744319 -0.297348754 0.76561858
[278,] -0.41695688 -0.30867043 -1.052033630 -0.250083055 -0.07464174
[279,] -0.70983168 -1.07954059 -1.052033630 -0.556946543 -0.66619166
[280,] -0.70983168 -1.07954059 -1.052033630 -0.006240499 -0.42451229
[281,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[282,] 0.27081723 -0.01221706 0.011379746 0.261304299 -0.40406181
[283,] 0.76114169 0.30678148 0.963859577 0.650700983 0.76561858
[284,] -0.70983168 -1.07954059 -1.052033630 -0.265838288 -1.06290195
[285,] -0.48256296 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[286,] NA NA NA NA NA
[287,] -0.36892860 1.07765164 1.179744319 0.650700983 0.76561858
[288,] -0.01907358 -0.71060053 -1.052033630 -0.427147648 -0.19126526
[289,] 0.42023861 1.07765164 1.179744319 0.359592728 0.41574804
[290,] -0.48256296 -1.07954059 -1.052033630 -0.126886302 -0.28993185
[291,] 0.15718287 -0.36047651 -0.308107647 -0.029803956 0.08882152
[292,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 0.76561858
[293,] -0.70983168 -0.01035250 -1.052033630 0.204885510 -0.07713529
[294,] -0.70983168 -0.71060053 -1.052033630 -0.265838288 0.64899507
[295,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[296,] -0.15688512 -0.01221706 -0.204504996 -0.395637183 -0.42451229
[297,] -0.44975992 0.10163085 -0.836148888 -0.029803956 0.08882152
[298,] 0.09456078 -0.52426593 -1.052033630 -0.686745438 0.41574804
[299,] 0.42023861 0.24473966 1.179744319 -0.250083055 -1.06290195
[300,] -0.27051948 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[301,] -0.27051948 -1.07954059 -0.415375746 -0.686745438 -0.42451229
[302,] -0.21950722 -0.38115712 1.279681523 0.123558396 -0.05668482
[303,] -0.18670418 -1.07954059 -1.052033630 -0.686745438 -0.22264162
[304,] -0.70983168 -0.71060053 -1.052033630 -0.427147648 -0.71303141
[305,] -0.15688512 -0.01035250 -0.204504996 -0.151794626 -0.94627843
[306,] -0.70983168 -0.52613050 1.179744319 -0.686745438 -0.94627843
[307,] NA NA NA NA NA
[308,] 0.76114169 1.07765164 -0.404379404 0.261304299 0.86179162
[309,] NA NA NA NA NA
[310,] -0.36892860 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[311,] 0.76114169 1.07765164 0.976204463 -0.250083055 1.37512542
[312,] -0.70983168 0.24473966 -0.104567791 -0.686745438 -1.06290195
[313,] -0.41695688 -0.71060053 -0.627595040 0.115750172 0.36890829
[314,] 0.04056454 -0.56562715 -1.052033630 -0.556946543 -0.85010540
[315,] -0.41695688 0.54305759 -1.052033630 0.214038601 -1.06290195
[316,] -0.70983168 -1.07954059 -0.620264146 -0.686745438 -1.06290195
[317,] 0.76114169 1.07765164 0.232278480 -0.297348754 0.76561858
[318,] -0.01907358 -1.07954059 -0.420389738 -0.136039393 -0.26948137
[319,] 0.12139586 0.35858756 -1.052033630 -0.265838288 -0.63730884
[320,] NA NA NA NA NA
[321,] -0.41695688 -0.52613050 0.532090093 -0.427147648 -0.82965492
[322,] -0.70983168 1.07765164 -0.195825557 -0.250083055 -1.06290195
[323,] -0.70983168 -1.07954059 0.435818336 -0.686745438 -0.82965492
[324,] -0.04325076 -0.71060053 -1.052033630 0.204885510 -0.50272840
[325,] 0.76114169 0.24473966 1.179744319 0.650700983 0.76561858
[326,] -0.70983168 -0.38115712 -1.052033630 -0.395637183 -0.40406181
[327,] -0.24932628 -1.07954059 0.227264488 0.650700983 0.38935877
[328,] -0.70983168 -1.07954059 -1.052033630 -0.250083055 -1.06290195
[329,] -0.41695688 0.80001431 -0.095888352 0.236395975 -0.45339511
[330,] -0.36892860 -1.07954059 -1.052033630 0.090841848 0.76561858
[331,] -0.27051948 -0.30867043 -0.104567791 -0.516282986 0.13566126
[332,] 1.25146615 0.96380374 -0.188494662 0.294020847 1.14187840
[333,] 0.42023861 1.07765164 1.179744319 0.650700983 0.76561858
[334,] -0.01907358 -0.30867043 -1.052033630 -0.686745438 0.15611174
[335,] -0.27051948 -1.07954059 -0.620264146 -0.686745438 -0.19126526
[336,] 0.42023861 -1.07954059 -0.204504996 0.214038601 -0.42451229
[337,] 0.76114169 1.07765164 -1.052033630 0.650700983 0.76561858
[338,] -0.70983168 -0.56562715 0.004048852 -0.265838288 0.36890829
[339,] -0.44975992 -0.36047651 -1.052033630 -0.175358083 1.14187840
[340,] NA NA NA NA NA
[341,] -0.27051948 -0.30867043 -1.052033630 -0.004895632 -1.06290195
[342,] -0.04325076 -1.07954059 1.179744319 0.505146856 -0.94627843
[343,] 0.07038360 -0.52613050 1.179744319 0.650700983 -0.19126526
[344,] 0.04354851 0.24660422 0.219933594 0.796255111 0.13566126
[345,] 0.66571655 1.79671572 0.427138897 1.096516457 -0.22014808
[346,] -0.04026678 0.30678148 0.532090093 0.115750172 -0.19126526
[347,] -0.24932628 -0.30867043 -1.052033630 -0.395637183 0.76561858
[348,] -0.70983168 -0.71060053 -0.415375746 -0.686745438 0.36890829
[349,] -0.21950722 0.17411753 -0.304442200 -0.541191310 1.37512542
[350,] -0.24932628 -0.19668709 1.179744319 -0.265838288 -1.06290195
[351,] 0.27081723 0.41039364 0.435818336 0.254702158 -0.26948137
[352,] -0.27051948 0.12231145 -0.420389738 0.359592728 0.76561858
[353,] -0.02504154 -0.36047651 -0.092222905 0.123558396 -0.26948137
[354,] -0.70983168 1.07765164 1.179744319 0.261304299 0.76561858
[355,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[356,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[357,] -0.48256296 -0.38115712 0.327201692 -0.516282986 0.41574804
[358,] NA NA NA NA NA
[359,] -0.15688512 -1.07954059 -0.627595040 0.505146856 0.41574804
[360,] 1.25146615 1.79671572 1.923670301 1.096516457 1.37512542
[361,] -0.70983168 1.07765164 -0.308107647 0.650700983 0.60215532
[362,] 0.53088899 0.49125152 -0.104567791 0.359592728 0.76561858
[363,] 0.76114169 0.52424155 0.963859577 -0.297348754 0.41574804
[364,] -0.24932628 -0.71060053 1.179744319 0.261304299 0.76561858
[365,] 1.25146615 1.79671572 1.923670301 0.836918667 1.37512542
[366,] -0.36892860 -0.71060053 -1.052033630 0.214038601 -1.06290195
[367,] -0.25231026 0.30678148 -0.420389738 0.414666651 -0.82965492
[368,] 0.76114169 1.07765164 0.963859577 0.650700983 0.76561858
[369,] -0.36594462 -0.24662861 -1.052033630 -0.265838288 0.76561858
[370,] -0.02205756 0.30678148 -0.404379404 -0.136039393 -0.82965492
[371,] 0.95859135 0.96380374 -0.520326942 0.805408202 -0.15285786
[372,] 0.76114169 0.02914416 0.435818336 0.650700983 0.76561858
[373,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[374,] -0.70983168 1.07765164 1.179744319 0.139313629 0.48553181
[375,] -0.04325076 1.07765164 1.179744319 0.261304299 -0.82965492
[376,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[377,] -0.01907358 -1.07954059 -1.052033630 -0.686745438 -0.50272840
[378,] -0.70983168 0.52424155 1.179744319 0.261304299 -0.50272840
[379,] -0.70983168 -0.56562715 0.227264488 -0.395637183 -0.07713529
[380,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[381,] 0.15718287 -0.17600648 -0.204504996 -0.395637183 -0.12397504
[382,] 0.42023861 0.24660422 1.923670301 0.520902089 0.25477833
[383,] 0.76114169 1.07765164 0.532090093 0.650700983 0.76561858
[384,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[385,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[386,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[387,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[388,] -0.02205756 -0.01035250 0.119996390 -0.054712280 -0.57001862
[389,] -0.70983168 -1.07954059 0.963859577 -0.686745438 -1.06290195
[390,] 0.20819513 0.35858756 0.011379746 0.505146856 -0.38610488
[391,] -0.27051948 1.05883559 -1.052033630 -0.029803956 -0.30788877
[392,] -0.25231026 -1.07954059 -1.052033630 0.075086615 -0.63730884
[393,] -0.02205756 -0.89507056 1.923670301 -0.427147648 0.38935877
[394,] 0.76114169 0.24473966 0.963859577 0.650700983 0.41574804
[395,] -0.70983168 0.30678148 -0.404379404 0.261304299 1.14187840
[396,] -0.70983168 -0.56562715 -0.420389738 -0.265838288 -0.26948137
[397,] NA NA NA NA NA
[398,] -0.04325076 -1.07954059 -0.620264146 -0.686745438 0.76561858
[399,] -0.25231026 0.30678148 -1.052033630 0.505146856 -0.82965492
[400,] -0.48256296 -0.54494654 -1.052033630 -0.686745438 -0.40406181
[401,] -0.70983168 -1.07954059 0.219933594 0.505146856 0.03948822
[402,] 0.76114169 0.52424155 1.179744319 0.261304299 0.76561858
[403,] -0.04325076 1.07765164 -1.052033630 0.214038601 -0.50272840
[404,] 0.27081723 -0.15532587 -0.195825557 0.059331382 -0.82965492
[405,] 0.42023861 1.07765164 1.179744319 0.650700983 0.76561858
[406,] -0.33612556 -0.56562715 -0.620264146 -0.345820535 0.15611174
[407,] 0.76114169 0.52424155 1.179744319 0.650700983 0.76561858
[408,] -0.70983168 -0.52426593 -0.404379404 -0.136039393 0.36890829
[409,] -0.70983168 -1.07954059 -1.052033630 -0.086222745 0.36890829
[410,] 0.53387297 -1.07954059 0.435818336 -0.686745438 -1.06290195
[411,] 0.04354851 -0.71060053 0.004048852 -0.686745438 0.76561858
[412,] 0.76114169 1.07765164 1.179744319 -0.427147648 0.76561858
[413,] -0.18968816 -0.36047651 -0.627595040 -0.240929964 -0.45339511
[414,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[415,] NA NA NA NA NA
[416,] -0.48256296 0.10163085 0.011379746 -0.686745438 -0.40406181
[417,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.82965492
[418,] -0.48256296 -0.52613050 -0.420389738 0.214038601 -1.06290195
[419,] 0.53387297 -0.52426593 1.711451007 0.359592728 0.48553181
[420,] 1.25146615 0.19293358 0.758971176 0.294020847 1.14187840
[421,] 0.04354851 1.07765164 1.179744319 -0.427147648 -0.78281517
[422,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[423,] -0.27051948 -0.24662861 0.532090093 0.505146856 0.76561858
[424,] -0.27051948 1.07765164 1.179744319 0.650700983 0.76561858
[425,] -0.70983168 0.35858756 -0.620264146 -0.297348754 -0.94627843
[426,] 0.76114169 0.52424155 1.179744319 0.650700983 0.76561858
[427,] -0.48256296 -0.56562715 0.435818336 -0.395637183 1.37512542
[428,] 0.42023861 0.52424155 -1.052033630 -0.686745438 -0.19126526
[429,] -0.25231026 -0.15532587 0.543086434 0.318929171 -0.71303141
[430,] -0.70983168 0.10163085 -0.736211684 -0.686745438 -0.26948137
[431,] -0.56339428 -0.56562715 -1.052033630 -0.427147648 -0.19126526
[432,] -0.04325076 1.07765164 0.543086434 -0.427147648 -0.07464174
[433,] 0.04056454 -0.34166046 -0.627595040 0.099994939 0.76561858
[434,] -0.70983168 -0.82258387 -0.620264146 -0.686745438 -1.06290195
[435,] 0.50106993 -0.36047651 0.332215684 0.650700983 0.36890829
[436,] -0.59619732 -0.54494654 -0.520326942 -0.686745438 0.64899507
[437,] 0.32182949 0.35858756 -1.052033630 0.214038601 0.76561858
[438,] 0.04354851 -0.52613050 -0.415375746 0.650700983 0.01060540
[439,] -0.41695688 -0.52613050 -1.052033630 0.650700983 0.36890829
[440,] 0.42023861 -0.52613050 -0.415375746 -0.686745438 -0.82965492
[441,] -0.27051948 -1.07954059 -1.052033630 -0.686745438 0.64899507
[442,] -0.70983168 -0.38115712 -1.052033630 -0.686745438 -1.06290195
[443,] -0.44975992 0.08095024 -0.836148888 -0.370728859 -0.61685837
[444,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[445,] -0.10587286 0.35858756 -0.627595040 -0.411392416 -0.07464174
[446,] 0.76114169 0.56373820 1.179744319 0.261304299 0.64899507
[447,] 0.66571655 -1.07954059 0.011379746 -0.427147648 -0.40406181
[448,] -0.48256296 0.17411753 0.544434979 -0.395637183 -0.73348188
[449,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[450,] 0.76114169 0.52424155 1.179744319 0.650700983 0.76561858
[451,] 0.32182949 1.07765164 1.179744319 0.650700983 0.76561858
[452,] 0.76114169 1.07765164 1.179744319 0.261304299 0.76561858
[453,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[454,] -0.70983168 -0.24662861 -1.052033630 0.261304299 0.76561858
[455,] -0.36892860 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[456,] NA NA NA NA NA
[457,] -0.25231026 -0.56562715 -0.620264146 -0.556946543 -1.06290195
[458,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[459,] 0.76114169 0.52424155 -0.627595040 0.261304299 0.76561858
[460,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.71303141
[461,] -0.44975992 -0.38115712 0.435818336 -0.556946543 -0.94627843
[462,] -0.70983168 0.80001431 0.219933594 0.796255111 0.25228478
[463,] 0.76114169 -0.24662861 -0.620264146 0.650700983 1.02525488
[464,] 0.07336758 -0.17600648 0.016393738 -0.686745438 -0.94627843
[465,] 0.15718287 1.07765164 0.551765873 0.650700983 0.81495187
[466,] -0.70983168 0.30678148 -0.404379404 0.139313629 -0.42451229
[467,] -0.07306982 -1.07954059 0.004048852 -0.386484091 -0.05668482
[468,] 0.76114169 0.52424155 1.179744319 0.650700983 0.36890829
[469,] 0.15718287 0.35858756 0.551765873 -0.104528928 0.15611174
[470,] 1.25146615 1.79671572 1.923670301 0.836918667 1.37512542
[471,] -0.41695688 -0.56562715 -1.052033630 -0.345820535 -0.85010540
[472,] -0.70983168 -0.52426593 -1.052033630 -0.686745438 -0.82965492
[473,] -0.27051948 -1.07954059 -0.836148888 -0.240929964 -0.94627843
[474,] -0.59619732 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[475,] -0.48256296 -0.19668709 -1.052033630 0.204885510 -0.26948137
[476,] -0.21950722 -0.36047651 -0.623929593 -0.386484091 0.27024170
[477,] 1.25146615 1.79671572 1.923670301 1.096516457 1.37512542
[478,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[479,] -0.70983168 -1.07954059 -1.052033630 -0.250083055 0.76561858
[480,] -0.41695688 -1.07954059 -1.052033630 -0.686745438 -0.71303141
[481,] -0.48256296 -0.38115712 0.011379746 -0.297348754 -0.85010540
[482,] -0.70983168 -1.07954059 0.543086434 -0.686745438 -0.42451229
[483,] -0.01907358 0.52424155 0.532090093 -0.136039393 0.36890829
[484,] 0.76114169 0.52424155 0.532090093 -0.395637183 0.76561858
[485,] -0.27051948 1.07765164 -1.052033630 0.650700983 -0.07464174
[486,] 0.07038360 -0.71060053 -1.052033630 -0.516282986 0.41574804
[487,] 0.53387297 -1.07954059 -0.415375746 -0.686745438 0.41574804
[488,] 0.76114169 1.07765164 1.179744319 -0.029803956 0.76561858
[489,] -0.70983168 1.07765164 -1.052033630 -0.297348754 -1.06290195
[490,] 0.76114169 0.52424155 1.179744319 0.650700983 0.76561858
[491,] 0.81215395 0.35858756 -1.052033630 -0.136039393 -0.33677159
[492,] 0.09157680 -0.01221706 -0.208170443 0.214038601 -0.26948137
[493,] 0.76114169 1.07765164 -1.052033630 0.139313629 -0.42451229
[494,] -0.02205756 1.79671572 0.219933594 -0.345820535 -0.45339511
[495,] -0.59619732 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[496,] 0.76114169 0.24473966 0.532090093 0.214038601 0.76561858
[497,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[498,] NA NA NA NA NA
[499,] 0.76114169 1.24330562 0.435818336 -0.686745438 -0.30788877
[500,] 0.56070805 1.79671572 1.923670301 0.414666651 1.37512542
[501,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[502,] 0.38743557 -1.07954059 -0.304442200 -0.686745438 -0.12397504
[503,] NA NA NA NA NA
[504,] 0.76114169 1.07765164 1.179744319 0.090841848 0.76561858
[505,] 0.42023861 0.35858756 0.004048852 0.115750172 -0.94627843
[506,] 0.07038360 1.07765164 -1.052033630 -0.345820535 0.76561858
[507,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.42451229
[508,] -0.33612556 -0.19668709 0.435818336 -0.265838288 -0.05668482
[509,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[510,] -0.70983168 -1.07954059 -1.052033630 -0.556946543 -0.42451229
[511,] -0.41695688 -1.07954059 -1.052033630 0.650700983 0.13566126
[512,] -0.48256296 -0.71060053 -0.415375746 0.261304299 -0.71303141
[513,] 0.04354851 0.35858756 -0.420389738 0.495993765 -0.45339511
[514,] -0.70983168 0.82069492 -1.052033630 -0.395637183 -0.07464174
[515,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -0.26948137
[516,] 0.76114169 -0.01035250 1.179744319 -0.686745438 0.76561858
[517,] NA NA NA NA NA
[518,] -0.70983168 0.12231145 -1.052033630 0.155068862 0.41574804
[519,] -0.70983168 -1.07954059 -1.052033630 -0.556946543 -0.07464174
[520,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[521,] 0.32182949 1.07765164 -0.627595040 0.650700983 0.41574804
[522,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 0.76561858
[523,] -0.70983168 -1.07954059 -1.052033630 -0.216021640 -0.14442551
[524,] -0.70983168 -1.07954059 -1.052033630 -0.395637183 -0.42451229
[525,] -0.25231026 1.07765164 0.543086434 -0.411392416 0.76561858
[526,] 0.76114169 1.07765164 1.179744319 -0.686745438 -1.06290195
[527,] -0.59619732 -0.01035250 -0.620264146 -0.541191310 -0.66619166
[528,] -0.02205756 0.35858756 0.435818336 -0.427147648 -0.82965492
[529,] 0.09157680 -0.30867043 1.179744319 -0.686745438 -1.06290195
[530,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[531,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[532,] 0.07038360 0.30678148 0.532090093 0.214038601 0.76561858
[533,] -0.48256296 0.30678148 -1.052033630 0.214038601 -0.71303141
[534,] -0.70983168 -1.07954059 -1.052033630 0.505146856 -0.22264162
[535,] 0.76114169 0.30678148 1.179744319 0.650700983 -0.71303141
[536,] -0.02205756 -0.56562715 0.543086434 0.204885510 -0.19126526
[537,] -0.24932628 -0.24662861 -1.052033630 -0.250083055 -1.06290195
[538,] -0.70983168 -1.07954059 -0.620264146 -0.686745438 -0.82965492
[539,] 0.42023861 -1.07954059 1.179744319 0.650700983 -1.06290195
[540,] 0.07038360 -0.17600648 -0.195825557 -0.541191310 -0.19126526
[541,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[542,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[543,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[544,] -0.02504154 -0.17600648 0.976204463 0.075086615 -0.40406181
[545,] -0.27051948 -0.01035250 0.543086434 -0.395637183 -0.52068533
[546,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[547,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[548,] 0.12139586 -0.38115712 0.339546579 0.148466720 1.37512542
[549,] NA NA NA NA NA
[550,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[551,] -0.70983168 -0.24662861 -1.052033630 0.650700983 -0.82965492
[552,] -0.07306982 -0.36047651 -0.415375746 -0.386484091 1.02525488
[553,] -0.01907358 1.07765164 -0.415375746 0.650700983 -0.43294463
[554,] -0.70983168 -1.07954059 -0.420389738 -0.395637183 -0.26948137
[555,] NA NA NA NA NA
[556,] 0.66571655 -0.45364381 -1.052033630 -0.556946543 -0.82965492
[557,] 0.76114169 -0.52613050 0.216268147 -0.395637183 -0.61685837
[558,] -0.70983168 -1.07954059 -1.052033630 -0.086222745 -0.63730884
[559,] 0.56070805 0.96380374 0.758971176 0.148466720 1.37512542
[560,] 0.27380121 -0.06402314 -0.095888352 0.650700983 1.02525488
[561,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 0.41574804
[562,] -0.36892860 1.07765164 1.179744319 0.139313629 0.76561858
[563,] -0.18968816 -1.07954059 -0.620264146 -0.686745438 -0.40406181
[564,] -0.70983168 -0.45364381 0.863922372 0.650700983 0.76561858
[565,] -0.01907358 0.52424155 -0.415375746 -0.297348754 -0.22264162
[566,] 0.42023861 -0.30867043 1.179744319 0.254702158 0.60215532
[567,] -0.70983168 -0.71060053 1.179744319 0.650700983 0.41574804
[568,] -0.70983168 1.07765164 0.543086434 0.261304299 -0.71303141
[569,] -0.10587286 -0.38115712 -0.627595040 -0.200266407 -1.06290195
[570,] 0.26783326 0.59486367 -1.052033630 0.124903263 0.36890829
[571,] -0.13569192 -1.07954059 0.011379746 -0.686745438 -1.06290195
[572,] -0.70983168 -0.15532587 -1.052033630 0.495993765 -1.06290195
[573,] -0.02205756 0.30678148 -0.304442200 0.090841848 -0.71303141
[574,] -0.70983168 -1.07954059 -0.420389738 -0.175358083 -1.06290195
[575,] -0.02504154 -1.07954059 -1.052033630 -0.556946543 -1.06290195
[576,] 0.15718287 0.02914416 0.339546579 -0.541191310 -0.03623434
[577,] -0.48256296 0.35858756 -1.052033630 -0.541191310 -0.94627843
[578,] -0.24932628 -1.07954059 -0.627595040 -0.427147648 -0.82965492
[579,] -0.21950722 0.35858756 -1.052033630 0.366194870 -0.24059855
[580,] -0.27051948 -1.07954059 -1.052033630 -0.250083055 -0.19126526
[581,] 0.76114169 1.07765164 -1.052033630 -0.006240499 -1.06290195
[582,] -0.04325076 -0.19668709 0.963859577 -0.175358083 0.76561858
[583,] NA NA NA NA NA
[584,] -0.59619732 -1.07954059 -1.052033630 -0.686745438 0.12722892
[585,] -0.48256296 -1.07954059 -1.052033630 -0.686745438 -0.42451229
[586,] -0.36594462 -0.24662861 0.223599041 0.245549066 -0.24059855
[587,] -0.70983168 1.07765164 -1.052033630 -0.281593521 -0.02780200
[588,] 0.45005767 -0.10351979 1.923670301 0.140658496 1.37512542
[589,] -0.33612556 -1.07954059 -0.195825557 -0.541191310 -0.82965492
[590,] -0.25529424 -0.36047651 0.328550237 -0.686745438 -0.73348188
[591,] -0.07306982 0.35858756 -0.523992389 0.025269967 -0.38610488
[592,] 0.76114169 0.52424155 1.179744319 0.009514734 0.64899507
[593,] -0.70983168 1.07765164 1.179744319 -0.250083055 -0.15285786
[594,] -0.70983168 1.07765164 -1.052033630 -0.686745438 -1.06290195
[595,] -0.27051948 0.52424155 0.011379746 0.625792659 -0.50272840
[596,] 0.76114169 1.07765164 1.179744319 0.650700983 -0.07464174
[597,] -0.70983168 -1.07954059 0.223599041 -0.686745438 -0.26948137
[598,] NA NA NA NA NA
[599,] 0.76114169 -0.52613050 -1.052033630 0.650700983 0.76561858
[600,] -0.70983168 -0.24662861 -1.052033630 -0.395637183 -0.22264162
[601,] 0.32182949 1.07765164 -0.627595040 0.261304299 -1.06290195
[602,] NA NA NA NA NA
[603,] 0.76114169 0.26728483 1.179744319 0.650700983 0.76561858
[604,] -0.70983168 -0.38115712 -1.052033630 -0.686745438 -0.26948137
[605,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[606,] 0.04354851 0.98448434 0.751640282 0.229793834 -0.14442551
[607,] -0.27051948 1.07765164 -0.415375746 -0.427147648 0.64899507
[608,] 0.76114169 -1.07954059 1.179744319 0.261304299 -1.06290195
[609,] 0.76114169 1.07765164 1.179744319 -0.250083055 0.76561858
[610,] 0.53088899 1.07765164 0.219933594 0.796255111 -0.30788877
[611,] -0.41695688 -0.71060053 -0.627595040 -0.029803956 -0.19126526
[612,] -0.70983168 -0.56562715 -1.052033630 -0.395637183 -0.82965492
[613,] -0.25231026 1.07765164 0.532090093 -0.686745438 0.43619851
[614,] 0.76114169 1.07765164 -1.052033630 -0.686745438 0.76561858
[615,] 0.12437984 -0.45364381 -0.404379404 -0.256685197 -0.35722207
[616,] -0.70983168 -0.56562715 -1.052033630 0.261304299 -1.06290195
[617,] 0.07038360 1.07765164 1.179744319 0.650700983 0.76561858
[618,] -0.21950722 0.17411753 -0.308107647 -0.541191310 -0.31632112
[619,] 1.25146615 1.79671572 1.923670301 1.096516457 1.37512542
[620,] -0.70983168 -0.89507056 -0.104567791 -0.175358083 -1.06290195
[621,] 0.42023861 -0.30867043 -1.052033630 -0.297348754 0.76561858
[622,] -0.70983168 -1.07954059 -1.052033630 -0.427147648 -1.06290195
[623,] 0.76114169 -1.07954059 1.179744319 -0.126886302 1.37512542
[624,] 0.76114169 -1.07954059 1.179744319 0.650700983 0.76561858
[625,] 0.76114169 1.07765164 1.179744319 0.650700983 0.41574804
[626,] 0.07038360 1.07765164 1.179744319 0.261304299 0.76561858
[627,] 0.27380121 -0.71060053 0.543086434 0.214038601 -0.19126526
[628,] -0.27051948 -1.07954059 -0.415375746 -0.427147648 -1.06290195
[629,] -0.70983168 0.08095024 -1.052033630 0.115750172 -0.19126526
[630,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[631,] -0.48256296 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[632,] 0.10617061 1.07765164 0.660382517 -0.541191310 1.37512542
[633,] -0.70983168 -0.52426593 -0.104567791 0.261304299 -0.42451229
[634,] -0.21950722 -0.36047651 -0.836148888 -0.386484091 1.02525488
[635,] -0.48256296 -1.07954059 -1.052033630 -0.086222745 -0.50272840
[636,] -0.47957898 1.07765164 1.179744319 -0.250083055 0.76561858
[637,] -0.70983168 -1.07954059 0.227264488 0.261304299 -0.94627843
[638,] -0.59619732 0.26728483 0.223599041 -0.411392416 -0.38610488
[639,] -0.70983168 0.30678148 -1.052033630 0.261304299 -1.06290195
[640,] -0.01907358 -1.07954059 -1.052033630 -0.175358083 -1.06290195
[641,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[642,] -0.70983168 -1.07954059 -1.052033630 -0.427147648 -0.94627843
[643,] -0.48256296 -0.71060053 -0.620264146 -0.395637183 -0.82965492
[644,] -0.36892860 -0.71060053 1.179744319 0.650700983 0.76561858
[645,] -0.70983168 -1.07954059 -1.052033630 -0.686745438 -1.06290195
[646,] 0.15718287 0.35858756 0.435818336 0.204885510 0.15611174
[647,] -0.70983168 -0.52613050 -0.420389738 -0.686745438 -0.94627843
[648,] -0.70983168 -1.07954059 -1.052033630 0.650700983 -0.42451229
[649,] -0.41695688 -0.01035250 -0.195825557 -0.151794626 -0.30788877
[650,] -0.70983168 -1.07954059 -0.104567791 -0.556946543 -0.26948137
[651,] -0.70983168 -1.07954059 -0.415375746 -0.686745438 -0.14442551
[652,] -0.10288888 -1.07954059 0.435818336 0.236395975 -0.71303141
[653,] 0.12139586 0.19293358 -0.308107647 -0.151794626 1.16232887
[654,] 0.32481347 -0.01035250 -0.836148888 -0.386484091 -0.57001862
[655,] 0.76114169 1.07765164 0.532090093 0.650700983 0.76561858
[656,] 0.26783326 0.59486367 0.011379746 0.414666651 -0.94627843
[657,] -0.70983168 -0.24662861 -1.052033630 -0.686745438 -0.19126526
[658,] 0.32182949 -1.07954059 -0.627595040 0.505146856 -0.82965492
[659,] -0.24932628 -0.30867043 -0.415375746 -0.256685197 -0.14442551
[660,] 0.12139586 0.19293358 -0.308107647 0.002912592 0.17656221
[661,] -0.70983168 -1.07954059 -1.052033630 -0.395637183 -1.06290195
[662,] -0.30332252 -0.43296320 0.219933594 0.359592728 0.25228478
[663,] -0.24932628 1.42777565 -1.052033630 -0.541191310 -0.02780200
[664,] -0.70983168 -0.24662861 -1.052033630 0.650700983 0.64899507
[665,] -0.21950722 -1.07954059 -0.415375746 -0.686745438 -0.19126526
[666,] -0.04325076 -1.07954059 -0.620264146 -0.395637183 -0.63730884
[667,] 0.03758056 -0.36047651 -0.308107647 -0.021995732 -0.33677159
[668,] 0.76114169 -0.71060053 -1.052033630 0.359592728 0.53237155
[669,] -0.48256296 -0.24662861 -1.052033630 -0.686745438 0.76561858
[670,] 0.76114169 -0.24662861 0.543086434 -0.006240499 0.53237155
[671,] -0.21950722 -0.10351979 -0.308107647 0.755591554 -0.31632112
[672,] -0.48256296 -0.56562715 -1.052033630 -0.281593521 -0.19126526
[673,] 0.76114169 1.07765164 0.223599041 0.009514734 -0.94627843
[674,] -0.36892860 -0.38115712 0.543086434 0.214038601 -0.22264162
[675,] 0.76114169 1.79671572 -1.052033630 -0.686745438 -0.30788877
[676,] 0.50106993 -0.52613050 -1.052033630 0.650700983 -0.94627843
[677,] -0.59619732 -0.80190326 -0.204504996 -0.516282986 -0.66619166
[678,] 0.76114169 1.07765164 0.963859577 0.650700983 0.76561858
[679,] -0.25231026 -0.71060053 -0.420389738 -0.265838288 -0.30788877
[680,] -0.47957898 1.07765164 -1.052033630 -0.427147648 -1.06290195
[681,] -0.70983168 1.07765164 -1.052033630 0.236395975 0.76561858
[682,] -0.07605380 -0.52613050 1.179744319 0.214038601 0.76561858
[683,] -0.59619732 -1.07954059 0.435818336 -0.386484091 -0.50272840
[684,] -0.02504154 0.41039364 0.544434979 0.416011518 0.17656221
[685,] -0.70983168 -1.07954059 1.179744319 -0.686745438 -0.82965492
[686,] -0.70983168 1.07765164 -1.052033630 -0.686745438 -1.06290195
[687,] -0.41695688 -1.07954059 -0.620264146 -0.686745438 -0.82965492
[688,] -0.70983168 -1.07954059 -1.052033630 -0.175358083 -0.82965492
[689,] 0.42023861 0.52424155 -0.620264146 -0.541191310 -1.06290195
[690,] 0.27081723 0.02914416 0.004048852 0.204885510 0.15611174
[691,] 0.76114169 1.07765164 1.179744319 0.650700983 0.76561858
[692,] -0.70983168 -1.07954059 -1.052033630 -0.395637183 -1.06290195
[693,] 0.41725463 1.79671572 -0.620264146 -0.345820535 -0.71303141
[694,] 0.76114169 0.56373820 1.179744319 0.261304299 0.41574804
[695,] -0.59619732 -0.08283918 0.007714299 -0.541191310 -0.26948137
6
[1,] -1.20186451
[2,] 0.79863874
[3,] 0.32327406
[4,] 0.79863874
[5,] 0.79863874
[6,] 0.52210046
[7,] -0.29150665
[8,] 0.17217583
[9,] -0.18943100
[10,] NA
[11,] 0.20519067
[12,] 0.32327406
[13,] 0.04673578
[14,] -1.20186451
[15,] 0.79863874
[16,] -1.20186451
[17,] 0.79863874
[18,] 0.79863874
[19,] 1.46547316
[20,] 0.79863874
[21,] -0.10436246
[22,] 0.79863874
[23,] -0.18510546
[24,] 0.79863874
[25,] 0.79863874
[26,] -0.03097611
[27,] -0.02665057
[28,] 0.79863874
[29,] 0.79863874
[30,] -1.20186451
[31,] 0.79863874
[32,] 0.13180433
[33,] -0.09571137
[34,] -1.20186451
[35,] -0.18943100
[36,] -1.20186451
[37,] -1.20186451
[38,] -0.18943100
[39,] 0.48172896
[40,] -1.20186451
[41,] 1.46547316
[42,] 0.20519067
[43,] 0.32327406
[44,] -1.20186451
[45,] 0.32327406
[46,] -0.88495472
[47,] 0.79863874
[48,] 0.79863874
[49,] 0.32327406
[50,] -1.20186451
[51,] -0.64878794
[52,] -0.50634079
[53,] 0.52210046
[54,] -1.20186451
[55,] -0.88495472
[56,] -0.50634079
[57,] 0.79863874
[58,] 1.46547316
[59,] 1.46547316
[60,] -1.20186451
[61,] 0.79863874
[62,] -0.37224965
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[64,] -1.20186451
[65,] -0.18943100
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[68,] -0.88495472
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[71,] -1.20186451
[72,] 0.79863874
[73,] -0.64878794
[74,] 0.79863874
[75,] NA
[76,] 0.79863874
[77,] -0.05533987
[78,] 0.79863874
[79,] 0.13180433
[80,] -1.20186451
[81,] -0.88495472
[82,] 1.46547316
[83,] 0.79863874
[84,] 0.32327406
[85,] 0.79863874
[86,] -1.20186451
[87,] 0.79863874
[88,] -0.03097611
[89,] 0.79863874
[90,] 0.79863874
[91,] NA
[92,] 0.20519067
[93,] 0.79863874
[94,] -0.64878794
[95,] -1.20186451
[96,] -0.72649983
[97,] -0.33187815
[98,] 0.79863874
[99,] 0.79863874
[100,] -0.46164375
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[103,] -1.20186451
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[105,] -1.20186451
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[107,] -0.18510546
[108,] -1.20186451
[109,] 0.79863874
[110,] -0.03097611
[111,] 0.64018385
[112,] 0.79863874
[113,] 0.20519067
[114,] -1.20186451
[115,] 0.32327406
[116,] 0.04673578
[117,] -0.17342326
[118,] -0.60841644
[119,] NA
[120,] 0.79863874
[121,] 0.79863874
[122,] 0.79863874
[123,] 0.79863874
[124,] 1.46547316
[125,] 0.79863874
[126,] -0.18943100
[127,] -0.02665057
[128,] -0.50634079
[129,] 0.79863874
[130,] -0.33187815
[131,] 0.32327406
[132,] -0.50634079
[133,] -0.33187815
[134,] 0.79863874
[135,] -1.20186451
[136,] 0.40401707
[137,] -0.50634079
[138,] 0.32327406
[139,] 0.79863874
[140,] 0.79863874
[141,] 0.79863874
[142,] 0.79863874
[143,] -0.18943100
[144,] 0.79863874
[145,] 0.79863874
[146,] 0.79863874
[147,] 0.79863874
[148,] 0.79863874
[149,] 0.79863874
[150,] -0.33187815
[151,] -0.50634079
[152,] -1.20186451
[153,] 0.79863874
[154,] -0.18943100
[155,] 0.79863874
[156,] -0.02665057
[157,] 0.32327406
[158,] 0.79863874
[159,] 0.79863874
[160,] -0.92532622
[161,] -0.02665057
[162,] 0.32327406
[163,] -0.50634079
[164,] -0.72649983
[165,] 0.79863874
[166,] NA
[167,] 1.46547316
[168,] -0.49033304
[169,] 0.32327406
[170,] -0.33187815
[171,] -1.20186451
[172,] 0.79863874
[173,] -1.20186451
[174,] 0.79863874
[175,] 0.79863874
[176,] 0.79863874
[177,] -0.18510546
[178,] 0.32327406
[179,] -0.56804493
[180,] -0.88495472
[181,] 0.64018385
[182,] 0.21687288
[183,] -1.20186451
[184,] 0.76994945
[185,] -1.20186451
[186,] 0.79863874
[187,] -0.50634079
[188,] -0.50634079
[189,] 0.79863874
[190,] -0.64878794
[191,] 0.32327406
[192,] 0.24556217
[193,] 0.13180433
[194,] NA
[195,] -0.49033304
[196,] 0.06274353
[197,] -1.20186451
[198,] -0.03097611
[199,] 0.79863874
[200,] NA
[201,] -1.20186451
[202,] -1.20186451
[203,] -0.02665057
[204,] -1.20186451
[205,] -1.20186451
[206,] -0.03097611
[207,] 0.79863874
[208,] NA
[209,] 0.79863874
[210,] 0.79863874
[211,] 0.79863874
[212,] 0.79863874
[213,] 0.79863874
[214,] -0.50634079
[215,] NA
[216,] 0.79863874
[217,] -0.29150665
[218,] 0.79863874
[219,] -0.22980251
[220,] 0.24556217
[221,] 0.32327406
[222,] 0.79863874
[223,] -0.17342326
[224,] -0.03097611
[225,] -1.20186451
[226,] 1.46547316
[227,] -0.02665057
[228,] -0.64878794
[229,] -1.20186451
[230,] -0.33187815
[231,] 0.79863874
[232,] -0.01496836
[233,] 0.79863874
[234,] 0.64018385
[235,] -0.50634079
[236,] 1.14856337
[237,] 0.79863874
[238,] 0.48172896
[239,] -0.60841644
[240,] -1.20186451
[241,] 0.13180433
[242,] 0.79863874
[243,] -0.50634079
[244,] -1.20186451
[245,] 0.79863874
[246,] 0.13180433
[247,] 0.79863874
[248,] NA
[249,] NA
[250,] 0.64018385
[251,] 0.79863874
[252,] -0.50634079
[253,] -0.50634079
[254,] -0.18510546
[255,] 0.79863874
[256,] -0.03097611
[257,] -0.49033304
[258,] -0.03097611
[259,] 0.79863874
[260,] 0.32327406
[261,] 0.79863874
[262,] 0.79863874
[263,] -1.20186451
[264,] -0.64878794
[265,] 0.79863874
[266,] 0.79863874
[267,] NA
[268,] 0.79863874
[269,] 0.32327406
[270,] -0.64878794
[271,] -1.20186451
[272,] 0.79863874
[273,] -0.64878794
[274,] 0.79863874
[275,] 0.36364557
[276,] -1.20186451
[277,] 0.79863874
[278,] -0.03097611
[279,] -0.76687133
[280,] -0.50634079
[281,] 0.79863874
[282,] -0.64878794
[283,] 0.36364557
[284,] -1.20186451
[285,] -1.20186451
[286,] NA
[287,] 0.79863874
[288,] 0.64018385
[289,] 0.79863874
[290,] -1.20186451
[291,] -0.64878794
[292,] 0.79863874
[293,] -1.20186451
[294,] -0.33187815
[295,] 0.79863874
[296,] -1.20186451
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[299,] 0.79863874
[300,] -1.20186451
[301,] -1.20186451
[302,] -1.20186451
[303,] 0.79863874
[304,] -1.04340962
[305,] -0.50634079
[306,] 0.32327406
[307,] NA
[308,] 0.79863874
[309,] NA
[310,] 0.79863874
[311,] 0.76994945
[312,] -0.03097611
[313,] 0.36364557
[314,] -0.50634079
[315,] 0.24556217
[316,] -1.20186451
[317,] 0.79863874
[318,] 0.13180433
[319,] -0.64878794
[320,] NA
[321,] -0.33187815
[322,] 0.32327406
[323,] -0.50634079
[324,] 0.79863874
[325,] 0.79863874
[326,] -0.33187815
[327,] 0.13180433
[328,] -0.88495472
[329,] -0.76687133
[330,] -0.34788590
[331,] -0.50634079
[332,] -0.05966541
[333,] 0.64018385
[334,] 0.13180433
[335,] -1.20186451
[336,] 0.04673578
[337,] 0.79863874
[338,] 0.32327406
[339,] -0.05966541
[340,] NA
[341,] -0.88495472
[342,] 0.32327406
[343,] 0.79863874
[344,] 0.04673578
[345,] -0.14473396
[346,] 0.36364557
[347,] 0.24556217
[348,] -0.50634079
[349,] -0.02665057
[350,] 0.32327406
[351,] -0.60841644
[352,] 0.79863874
[353,] 0.32327406
[354,] 0.79863874
[355,] 0.79863874
[356,] 0.79863874
[357,] 0.79863874
[358,] NA
[359,] 0.79863874
[360,] 1.46547316
[361,] 0.95709364
[362,] 0.79863874
[363,] 0.64018385
[364,] 0.79863874
[365,] 1.46547316
[366,] -1.20186451
[367,] 0.17217583
[368,] 0.36364557
[369,] -0.34788590
[370,] -1.20186451
[371,] -0.18943100
[372,] 0.79863874
[373,] 0.79863874
[374,] -0.03097611
[375,] -0.64878794
[376,] 0.79863874
[377,] -0.03097611
[378,] 0.79863874
[379,] -1.20186451
[380,] 0.79863874
[381,] 0.13180433
[382,] 1.46547316
[383,] 0.79863874
[384,] -1.20186451
[385,] 0.79863874
[386,] 0.79863874
[387,] 0.79863874
[388,] -1.20186451
[389,] -0.07134761
[390,] -0.33187815
[391,] -1.20186451
[392,] -1.20186451
[393,] -0.25849181
[394,] 0.36364557
[395,] -0.25849181
[396,] 0.32327406
[397,] NA
[398,] -0.07134761
[399,] -0.64878794
[400,] -0.76687133
[401,] -0.88495472
[402,] 0.79863874
[403,] 0.64018385
[404,] -0.88495472
[405,] 0.79863874
[406,] -0.64878794
[407,] -0.03097611
[408,] 0.48172896
[409,] 0.20519067
[410,] 0.06274353
[411,] 0.13180433
[412,] 0.79863874
[413,] -0.30318885
[414,] 0.79863874
[415,] NA
[416,] -0.88495472
[417,] -1.20186451
[418,] -0.50634079
[419,] -0.05966541
[420,] 0.13180433
[421,] 0.64018385
[422,] 0.79863874
[423,] 0.79863874
[424,] 0.79863874
[425,] -0.88495472
[426,] 0.79863874
[427,] -0.02665057
[428,] -1.20186451
[429,] -0.50634079
[430,] -0.88495472
[431,] -0.64878794
[432,] 0.32327406
[433,] 0.79863874
[434,] -0.33187815
[435,] 0.64018385
[436,] 0.32327406
[437,] -0.88495472
[438,] -0.50634079
[439,] -0.03097611
[440,] 0.32327406
[441,] -0.50634079
[442,] -0.03097611
[443,] -0.50634079
[444,] 0.79863874
[445,] 0.32327406
[446,] 0.79863874
[447,] -0.18943100
[448,] -0.10003691
[449,] 0.79863874
[450,] 0.79863874
[451,] 0.79863874
[452,] 0.79863874
[453,] 0.79863874
[454,] 0.79863874
[455,] -1.20186451
[456,] NA
[457,] 0.48172896
[458,] 0.79863874
[459,] 0.79863874
[460,] 0.79863874
[461,] -1.20186451
[462,] 0.64018385
[463,] -0.53503009
[464,] -1.20186451
[465,] 0.13180433
[466,] 0.79863874
[467,] -0.02665057
[468,] 0.32327406
[469,] 0.79863874
[470,] 1.46547316
[471,] -1.20186451
[472,] -0.50634079
[473,] -0.88495472
[474,] -0.50634079
[475,] -1.20186451
[476,] -0.05966541
[477,] 1.46547316
[478,] -1.20186451
[479,] -0.50634079
[480,] -1.20186451
[481,] -1.20186451
[482,] -1.20186451
[483,] 0.64018385
[484,] 0.79863874
[485,] 0.52210046
[486,] 0.79863874
[487,] -0.03097611
[488,] 0.79863874
[489,] 0.08710728
[490,] 0.79863874
[491,] 0.13180433
[492,] -1.20186451
[493,] -0.03097611
[494,] -1.04340962
[495,] -1.20186451
[496,] 0.79863874
[497,] 0.79863874
[498,] NA
[499,] -0.88495472
[500,] 1.46547316
[501,] 0.79863874
[502,] -1.20186451
[503,] NA
[504,] 0.79863874
[505,] 0.79863874
[506,] 0.79863874
[507,] -1.20186451
[508,] 0.32327406
[509,] 0.79863874
[510,] 0.32327406
[511,] 1.46547316
[512,] -1.20186451
[513,] -0.02665057
[514,] -1.20186451
[515,] -1.20186451
[516,] 0.79863874
[517,] NA
[518,] 0.40401707
[519,] -1.20186451
[520,] 0.79863874
[521,] 0.79863874
[522,] -0.50634079
[523,] -1.04340962
[524,] 0.79863874
[525,] 0.32327406
[526,] -1.20186451
[527,] -0.76687133
[528,] -0.34788590
[529,] -1.20186451
[530,] 0.79863874
[531,] 0.79863874
[532,] 0.79863874
[533,] -1.20186451
[534,] -0.50634079
[535,] 0.32327406
[536,] 0.79863874
[537,] -0.50634079
[538,] 0.79863874
[539,] -0.18943100
[540,] -1.20186451
[541,] 0.79863874
[542,] -0.50634079
[543,] 0.79863874
[544,] 0.75826724
[545,] 0.32327406
[546,] 0.79863874
[547,] 0.79863874
[548,] -0.25849181
[549,] NA
[550,] 0.79863874
[551,] -0.37224965
[552,] -0.53503009
[553,] 0.24556217
[554,] -1.20186451
[555,] NA
[556,] -0.18943100
[557,] 0.13180433
[558,] -1.20186451
[559,] 0.17217583
[560,] -0.53503009
[561,] -1.20186451
[562,] 0.79863874
[563,] -1.20186451
[564,] 0.79863874
[565,] 0.32327406
[566,] 0.79863874
[567,] 0.79863874
[568,] -1.20186451
[569,] -1.20186451
[570,] -0.88495472
[571,] -0.50634079
[572,] -0.29150665
[573,] -0.34788590
[574,] 0.79863874
[575,] -1.04340962
[576,] -0.72649983
[577,] -0.60841644
[578,] -0.02665057
[579,] -0.29150665
[580,] 0.32327406
[581,] 0.79863874
[582,] -0.33187815
[583,] NA
[584,] -0.50634079
[585,] -0.50634079
[586,] -0.33187815
[587,] -0.22980251
[588,] 1.14856337
[589,] -0.64878794
[590,] -0.25849181
[591,] -0.64878794
[592,] 0.79863874
[593,] 0.79863874
[594,] -0.50634079
[595,] 0.32327406
[596,] 0.79863874
[597,] -1.20186451
[598,] NA
[599,] 0.36364557
[600,] -0.18943100
[601,] 0.79863874
[602,] NA
[603,] -0.03097611
[604,] -1.20186451
[605,] 0.79863874
[606,] 0.79863874
[607,] -0.07134761
[608,] 0.79863874
[609,] 0.79863874
[610,] -0.64878794
[611,] -1.20186451
[612,] -0.50634079
[613,] -0.88495472
[614,] -0.03097611
[615,] -0.02665057
[616,] -1.20186451
[617,] 0.79863874
[618,] -0.64878794
[619,] 1.46547316
[620,] -1.20186451
[621,] -0.03097611
[622,] -0.34788590
[623,] -0.33620369
[624,] 0.79863874
[625,] 0.79863874
[626,] 0.79863874
[627,] -1.20186451
[628,] -1.20186451
[629,] -0.64878794
[630,] 0.32327406
[631,] 0.79863874
[632,] -0.25849181
[633,] -0.50634079
[634,] -0.53503009
[635,] -1.20186451
[636,] 0.79863874
[637,] -1.20186451
[638,] -1.20186451
[639,] -0.50634079
[640,] -1.20186451
[641,] 0.64018385
[642,] -0.76687133
[643,] -0.33187815
[644,] 0.79863874
[645,] -1.20186451
[646,] 0.13180433
[647,] 0.13180433
[648,] 0.75826724
[649,] -0.18943100
[650,] -0.50634079
[651,] -1.20186451
[652,] -0.02665057
[653,] -0.29150665
[654,] -0.81156838
[655,] 0.79863874
[656,] -0.92532622
[657,] -1.20186451
[658,] -1.20186451
[659,] -0.18943100
[660,] -1.20186451
[661,] -1.20186451
[662,] -1.20186451
[663,] 0.13180433
[664,] 0.79863874
[665,] -0.56804493
[666,] -0.88495472
[667,] -0.46164375
[668,] 0.79863874
[669,] -0.50634079
[670,] 0.32327406
[671,] -0.76687133
[672,] -1.20186451
[673,] -0.33187815
[674,] -0.72649983
[675,] -1.04340962
[676,] -0.64878794
[677,] -1.04340962
[678,] 0.79863874
[679,] -1.20186451
[680,] -1.20186451
[681,] 0.24556217
[682,] 0.79863874
[683,] 0.79863874
[684,] -0.73818203
[685,] -1.20186451
[686,] -1.20186451
[687,] -0.64878794
[688,] -1.20186451
[689,] -1.20186451
[690,] 0.13180433
[691,] 0.79863874
[692,] -1.20186451
[693,] -1.04340962
[694,] 0.79863874
[695,] -0.64878794
$dim.variables
items lower higher
1 D1 1 1
2 D2 1 1
3 D3 1 1
4 U1 2 1
5 U2 2 1
6 U3 2 1
7 G1 3 1
8 G2 3 1
9 G3 3 1
10 DL1 4 1
11 DL2 4 1
12 DL3 4 1
13 I1 5 1
14 I2 5 1
15 I3 5 1
16 C1 6 1
17 C2 6 1
18 C3 6 1
$TEFI
[1] -22.11087
$plot.hierEGA
attr(,"methods")
attr(,"methods")$loading.method
[1] "brm"
attr(,"methods")$rotation
NULL
attr(,"methods")$scores
[1] "network"
attr(,"methods")$interpretation
[1] "Based on lower (4.48) and higher (-26.591) TEFI, there is better fit for a bifactor structure than correlated lower order factor structure"
attr(,"class")
[1] "hierEGA"spot_Hierega$plot.hierEGA
Output 5 and Figure 4 present results from the hierarchical EGA of the SPOT dataset using the GLASSO method applied at both lower and higher orders of the SPOT structure. For the lower-order analysis, the algorithm uses the Louvain algorithm for community detection over 1000 iterations. The algorithm identifies six communities, each comprising three variables (e.g., D1, D2, and D3 form one community). The analysis indicates the lower-order network has a TEFI of 4.48. For the higher-order analysis, the algorithm also uses the Louvain algorithm for community detection. A single community encompassing all six variables (i.e., six lower-order dimensions) was identified, indicating the network is unidimensional. The TEFI for this higher-order structure is -26.591, with a generalized TEFI of -22.111. Comparing the TEFI values, the higher-order (bifactor) structure demonstrates a better fit (-26.591) than the correlated lower-order factor structure (4.48), suggesting a single underlying dimension more effectively explains the data structure.
Next, we can assess the stability of the SPOT hierarchical network structure across different datasets using bootstrap hierarchical EGA, similar to the ordinary EGA method. This can be achieved as follows:
spot_BOOTega <- EGAnet::bootEGA(
# we could also provide the cor matrix but then
# n (i.e., number of rows) must also be specified
data = spot_synth,
cor = "cor_auto",
uni.method = "louvain",
iter = 600, # Number of replica samples to generate
# resampling" for n random subsamples of the original data
# parametric" for n synthetic samples from multivariate normal dist.
type = "parametric",
# EGA Uses standard exploratory graph analysis
# EGA.fit Uses total entropy fit index (tefi) to determine best fit of EGA
# hierEGA Uses hierarchical exploratory graph analysis
EGA.type = "hierEGA",
model = "glasso",
algorithm = "walktrap", # or "louvain" (better for unidimensional structures)
# use "highest_modularity", "most_common", or "lowest_tefi"
consensus.method = "highest_modularity",
typicalStructure = TRUE, # typical network of partial correlations
plot.typicalStructure = TRUE, # returns a plot of the typical network
ncores = 7,
progress = TRUE ,
summary.table = TRUE,
seed = 1234
)Output 6. Bootstrap hierarchical EGA Output of the SPOT Dataset
summary(spot_BOOTega) Length Class Mode
lower_order 7 -none- list
higher_order 7 -none- list
type 1 -none- character
iter 1 -none- numeric
EGA 5 hierEGA list
EGA.type 1 -none- character
typicalGraph 3 -none- list
plot.typical.ega 11 gg list Output 6 shows the results of the bootstrap hierarchical EGA with the SPOT dataset. Across 600 iterations of bootstrap resampling, bootstrap hierarchical EGA found that the median structure of the SPOT dataset at the lower level has six communities, with a 94% frequency of structural replication. In other words, the BootEGA algorithm was able to replicate the six-dimensional structure 94% of the time, the five-dimensional structure 4% of the time, and the seven-dimensional structure 2% of the time across all bootstrap iterations. For the higher-order analysis, bootstrap hierarchical EGA found that the higher-order network is consistently unidimensional across all bootstrap samples, with a frequency of 1, indicating that a single dimension was found in 100% of the bootstrap samples. The median number of dimensions is also one. Overall, the results suggest that while the lower-order analysis identifies multiple distinct communities (dimensions) within the data, the higher-order analysis indicates that these lower-order dimensions can be explained by a single overarching dimension. This hierarchical structure suggests a complex data structure at the lower level, simplified by a single factor at the higher level.
The EGAnet::dimensionStability function can also be applied to the hierarchical EGA object to analyze the stability of measurement dimensions and items.
dim_stability_spot <- EGAnet::dimensionStability(spot_BOOTega)
dim_stability_spotOutput 7. Dimensional Stability Output of the SPOT Dataset
> dim_stability_spot
EGA Type: hierEGA
Bootstrap Samples: 600 (Parametric)
Proportion Replicated in Dimensions:
D1 D2 D3 U1 U2 U3 G1 G2 G3 DL1 DL2 DL3 I1 I2 I3 C1 C2 C3
Lower 1 1 0.9716667 1 1 1 1 1 1 0.8216667 0.9583333 0.9566667 1 1 0.995 1 1 0.99
Higher 1 1 1.0000000 1 1 1 1 1 1 1.0000000 1.0000000 1.0000000 1 1 1.000 1 1 1.00
----
Structural Consistency:
Lower Order
1 2 3 4 5 6
0.9716667 1.0000000 1.0000000 0.8200000 0.9950000 0.9900000
Higher Order
1
1 
Output 7 and Figure 5 show the structural stability results of the SPOT dataset. The output shows the replication proportion of each item in the six-dimension model of the SPOT dataset. The analysis shows that for the lower-order dimensions, most variables were consistently replicated with proportions close to or at 1, indicating high consistency. Specifically, variables D1, D2, U1, U2, U3, G1, G2, G3, I1, I2, C1, and C2 each had a replication proportion of 1. Variables D3, DL1, DL2, DL3, I3, and C3 had slightly lower proportions, ranging from approximately 0.822 to 0.995, indicating high but not perfect consistency. In the higher-order analysis, all variables were perfectly replicated within the single identified dimension, with proportions of 1, demonstrating complete consistency.
In terms of structural consistency, the lower-order dimensions showed high stability, with values indicating near-perfect stability for Dimensions 1, 4, and 6 and perfect stability for Dimensions 2, 3, and 5. The higher-order analysis revealed perfect structural consistency with a value of 1, indicating that the single higher-order dimension is entirely stable across bootstrap samples. Overall, the analysis highlights the robust higher-order structure that simplifies the complex relationships observed in the lower-order dimensions, with minor variability in the lower-order dimensions suggesting slight but non-critical instability.
Similarly to the EGA demonstration, the hierarchical EGA object can also be transformed into a CFA object and extract CFA fit measures with the following codes:
spot_ega_cfa <- EGAnet::CFA(ega.obj = spot_Hierega, estimator = "WLSMV", plot.CFA = FALSE, data = spot_synth)Output 8. CFA Model Specification and Fit Indices of the SPOT Dataset
spot_ega_cfa$model
[1] "FirstFact 1 =~ D1 + D2 + D3 \n FirstFact 2 =~ U1 + U2 + U3 \n FirstFact 3 =~ G1 + G2 + G3 \n FirstFact 4 =~ DL1 + DL2 + DL3 \n FirstFact 5 =~ I1 + I2 + I3 \n FirstFact 6 =~ C1 + C2 + C3 \n GenFact 1 =~ D1 + D2 + D3 + U1 + U2 + U3 + G1 + G2 + G3 + DL1 + DL2 + DL3 + I1 + I2 + I3 + C1 + C2 + C3"
$fit
lavaan 0.6.17 ended normally after 57 iterations
Estimator DWLS
Optimization method NLMINB
Number of model parameters 108
Number of observations 695
Number of missing patterns 15
Model Test User Model:
Standard Scaled
Test Statistic 290.789 509.012
Degrees of freedom 117 117
P-value (Chi-square) 0.000 0.000
Scaling correction factor 0.613
Shift parameter 34.381
simple second-order correction
$summary
Length Class Mode
1 lavaan S4
$fit.measures
chisq.scaled df pvalue cfi.scaled rmsea.scaled
509.012 117.000 0.000 0.962 0.069
attr(,"class")
[1] "CFA"lavaan::fitMeasures(spot_ega_cfa$fit, fit.measures = c("chisq", "df", "pvalue", "cfi", "tli", "rmsea", "srmr")) chisq df pvalue cfi tli rmsea srmr
290.789 117.000 0.000 0.996 0.994 0.046 0.043 
Output 8 shows the specification of the SPOT CFA model. The model specifies six first-order factors, each measured by three observed variables and one second-order factor indicated by all the observed variables from the first-order factors. This specification is visualized in Figure 6. The analysis used the DWLS estimator and converged normally after 57 iterations, estimating 108 parameters from 695 observations with 15 points of missing data. The model has a good fit according to the CFI and TLI (both need to be > 0.95), RMSEA (< 0.5), and SRMR (< 0.8). The significant chi-square test (p-value < .001) suggests that the model’s covariance structure significantly differs from the observed covariance structure, which might be due to the large sample size or model complexity.
3.1.3 Dynamic EGA
In addition to assessing the static structure of a dataset, the dynamic EGA method can be utilized to examine changes in the structure of a variable system across multiple units of assessment, such as population, group, and individual cases. This task is demonstrated through the dynEGA function in the EGAnet package [6]. As previously mentioned, we utilize a built-in simulated dataset from the EGAnet package due to the limited availability of multivariate time series data with repeated measures in the educational context. We begin by loading and examining the dataset as follows:
data("sim.dynEGA")
str(sim.dynEGA)'data.frame': 5000 obs. of 26 variables:
$ TOT : num -0.314 -0.637 -0.203 0.192 -0.439 ...
$ QS : num -0.311 -0.669 -0.249 0.119 -0.322 ...
$ AS : num -0.4174 -0.5696 -0.0988 -0.0729 -0.1215 ...
$ CP : num -0.366 -0.441 -0.354 0.182 -0.383 ...
$ AT : num -0.305 -0.377 -0.375 0.411 -0.365 ...
$ DC : num -0.37067 -0.48413 -0.20569 -0.00225 -0.38813 ...
$ RCS : num -0.241 -0.628 -0.24 0.194 -0.293 ...
$ HCR : num -0.4022 -0.6313 -0.2276 0.199 -0.0497 ...
$ PS : num -0.4781 -0.5994 -0.2884 0.0907 -0.4106 ...
$ LP : num -0.337 -0.468 -0.102 0.185 -0.237 ...
$ ES : num -0.3051 -0.3556 -0.2726 0.0269 -0.2921 ...
$ PRS : num -0.595 -0.669 -0.225 0.447 -0.339 ...
$ SAS : num 0.286 0.7 0.678 0.753 0.395 ...
$ ILM : num 0.123 0.655 0.63 0.538 0.497 ...
$ ULR : num 0.416 0.537 0.803 0.727 0.46 ...
$ HSB : num 0.338 0.645 0.963 0.622 0.505 ...
$ ML : num 0.556 0.659 0.669 0.686 0.355 ...
$ EGW : num 0.43 0.681 0.958 0.97 0.598 ...
$ RSR : num 0.539 0.645 0.885 0.564 0.316 ...
$ KA : num 0.651 0.82 0.702 0.528 0.303 ...
$ SD : num 0.344 0.649 0.833 0.853 0.328 ...
$ FU : num 0.286 0.595 0.881 0.505 0.121 ...
$ CS : num 0.532 0.512 0.536 0.675 0.3 ...
$ CPS : num 0.269 0.442 0.68 0.702 0.418 ...
$ ID : num 1 1 1 1 1 1 1 1 1 1 ...
$ Group: num 1 1 1 1 1 1 1 1 1 1 ...To contextualize the variables and the network structure, we assign educational names to each variable. This can be achieved using the following codes:
# Define the new column abbreviations
new_column_names <- c(
"TOT", # Time on Task
"QS", # Quiz Scores
"AS", # Assignment Scores
"CP", # Class Participation
"AT", # Attendance
"DC", # Discussion Contributions
"RCS", # Reading Comprehension Scores
"HCR", # Homework Completion Rate
"PS", # Project Scores
"LP", # Lab Performance
"ES", # Exam Scores
"PRS", # Peer Review Scores
"SAS", # Self-Assessment Scores
"ILM", # Interaction with Learning Materials
"ULR", # Use of Learning Resources
"HSB", # Help-Seeking Behavior
"ML", # Motivation Levels
"EGW", # Engagement in Group Work
"RSR", # Reflection and Self-Regulation
"KA", # Knowledge Application
"SD", # Skill Development
"FU", # Feedback Utilization
"CS", # Communication Skills
"CPS", # Creativity in Problem Solving
"ID", #ID
"Group" #Group
)The meaning of each variable is outlined in Table 14.1. The dataset has 24 variables in total, with one column for respondent ID and another column for group information of each respondent.
| Variable Code | Variable Name | Variable Description |
|---|---|---|
| TOT | Time on Task | The amount of time spent on a particular task or activity. |
| QS | Quiz Scores | The scores obtained on quizzes. |
| AS | Assignment Scores | The scores obtained on assignments. |
| CP | Class Participation | The level of participation in class activities. |
| AT | Attendance | The frequency of attendance in classes or sessions. |
| DC | Discussion Contributions | The number of contributions made in discussion forums. |
| RCS | Reading Comprehension Scores | The scores obtained on reading comprehension tests. |
| HCR | Homework Completion Rate | The rate at which homework is completed. |
| PS | Project Scores | The scores obtained on projects. |
| LP | Lab Performance | The performance in laboratory exercises or practicals. |
| ES | Exam Scores | The scores obtained in exams. |
| PRS | Peer Review Scores | The scores given by peers in peer-reviewed activities. |
| SAS | Self-Assessment Scores | The scores from self-assessment activities. |
| ILM | Interaction with Learning Materials | The frequency or quality of interaction with learning materials. |
| ULR | Use of Learning Resources | The extent of use of additional learning resources. |
| HSB | Help-Seeking Behavior | The frequency of seeking help from instructors or peers. |
| ML | Motivation Levels | The levels of motivation towards the learning activities. |
| EGW | Engagement in Group Work | The level of engagement in group work or collaborative activities. |
| RSR | Reflection and Self-Regulation | The frequency and quality of reflective practices and self-regulation. |
| KA | Knowledge Application | The ability to apply knowledge in practical or real-world scenarios. |
| SD | Skill Development | The progress in skill development over time. |
| FU | Feedback Utilization | The extent to which feedback is utilized to improve performance. |
| CS | Communication Skills | The proficiency in communication skills within the learning context. |
| CPS | Creativity in Problem Solving | The level of creativity demonstrated in problem-solving activities. |
After finishing processing the dataset, we can perform dynamic EGA on simulated data at individual, group, and population levels using the Louvain algorithm and Pearson correlation as follows:
simulated_all <- dynEGA(
data = sim.dynEGA,
level = c("individual", "group", "population"),
ncores = 6, # use more for quicker results
verbose = TRUE, # progress bar
corr = "pearson",
algorithm = "louvain",
id = "ID",
group = "Group"
)Output 9. Population-Level Dynamic EGA Output of the Simulated Data
simulated_all$dynEGA$population$network
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1
TOT.Ord1 0.0000000000 0.1359646707 0.144156710 0.1209988876 0.140660214
QS.Ord1 0.1359646707 0.0000000000 0.130793025 0.1393197909 0.138634089
AS.Ord1 0.1441567102 0.1307930253 0.000000000 0.1305461426 0.136476796
CP.Ord1 0.1209988876 0.1393197909 0.130546143 0.0000000000 0.134255147
AT.Ord1 0.1406602143 0.1386340889 0.136476796 0.1342551472 0.000000000
DC.Ord1 0.1341328149 0.1477766383 0.137040684 0.1491428467 0.135244752
RCS.Ord1 0.1316397706 0.1334509229 0.127860368 0.1369283534 0.128479568
HCR.Ord1 0.1383540473 0.1324347229 0.154452477 0.1316673554 0.136867739
PS.Ord1 0.0031017378 0.0027444803 0.018167807 0.0019257939 0.014202779
LP.Ord1 0.0086609378 0.0097097192 0.004172698 0.0033239504 0.001650611
ES.Ord1 0.0000000000 0.0087712940 0.001071625 0.0295404606 0.006484604
PRS.Ord1 0.0149014436 0.0054497742 0.014477427 0.0020697123 0.012473360
SAS.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
ILM.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
ULR.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
HSB.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
ML.Ord1 0.0001158347 0.0000000000 0.002900214 0.0000000000 0.001504393
EGW.Ord1 0.0000000000 0.0009374866 0.000000000 0.0021231607 0.000000000
RSR.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
KA.Ord1 0.0068038851 0.0000000000 0.000000000 0.0000000000 0.000000000
SD.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
FU.Ord1 0.0004924219 0.0000000000 0.000000000 0.0009645596 0.008104724
CS.Ord1 0.0000000000 0.0000000000 0.000000000 0.0000000000 0.000000000
CPS.Ord1 0.0035765762 0.0028007985 0.001245593 0.0000000000 0.000000000
DC.Ord1 RCS.Ord1 HCR.Ord1 PS.Ord1 LP.Ord1
TOT.Ord1 1.341328e-01 0.1316397706 0.138354047 0.003101738 0.008660938
QS.Ord1 1.477766e-01 0.1334509229 0.132434723 0.002744480 0.009709719
AS.Ord1 1.370407e-01 0.1278603678 0.154452477 0.018167807 0.004172698
CP.Ord1 1.491428e-01 0.1369283534 0.131667355 0.001925794 0.003323950
AT.Ord1 1.352448e-01 0.1284795683 0.136867739 0.014202779 0.001650611
DC.Ord1 0.000000e+00 0.1345924385 0.127390154 0.007220648 0.000000000
RCS.Ord1 1.345924e-01 0.0000000000 0.140458249 0.000000000 0.016552622
HCR.Ord1 1.273902e-01 0.1404582486 0.000000000 0.006178611 0.015428772
PS.Ord1 7.220648e-03 0.0000000000 0.006178611 0.000000000 0.285463288
LP.Ord1 0.000000e+00 0.0165526222 0.015428772 0.285463288 0.000000000
ES.Ord1 5.132575e-03 0.0068652079 0.008917883 0.286736468 0.287295427
PRS.Ord1 1.014900e-02 0.0158636156 0.002831592 0.284338698 0.284058125
SAS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.015702619 0.023160007
ILM.Ord1 0.000000e+00 0.0000000000 0.000000000 0.019761349 0.015642570
ULR.Ord1 0.000000e+00 0.0000000000 0.000000000 0.012487290 0.022973007
HSB.Ord1 0.000000e+00 0.0000000000 0.000000000 0.016249094 0.006512106
ML.Ord1 0.000000e+00 0.0052608621 0.000000000 0.000000000 0.000000000
EGW.Ord1 0.000000e+00 0.0000000000 0.000000000 0.000000000 0.000000000
RSR.Ord1 0.000000e+00 0.0000000000 0.000000000 0.000000000 0.000000000
KA.Ord1 0.000000e+00 0.0000000000 0.000000000 0.000000000 0.000000000
SD.Ord1 2.504831e-06 0.0000000000 0.000000000 0.000000000 0.000000000
FU.Ord1 0.000000e+00 0.0001208696 0.000000000 0.000000000 0.000000000
CS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.000000000 0.000000000
CPS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.000000000 0.000000000
ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1
TOT.Ord1 0.000000000 0.014901444 0.0000000000 0.000000000 0.000000000
QS.Ord1 0.008771294 0.005449774 0.0000000000 0.000000000 0.000000000
AS.Ord1 0.001071625 0.014477427 0.0000000000 0.000000000 0.000000000
CP.Ord1 0.029540461 0.002069712 0.0000000000 0.000000000 0.000000000
AT.Ord1 0.006484604 0.012473360 0.0000000000 0.000000000 0.000000000
DC.Ord1 0.005132575 0.010148998 0.0000000000 0.000000000 0.000000000
RCS.Ord1 0.006865208 0.015863616 0.0000000000 0.000000000 0.000000000
HCR.Ord1 0.008917883 0.002831592 0.0000000000 0.000000000 0.000000000
PS.Ord1 0.286736468 0.284338698 0.0157026185 0.019761349 0.012487290
LP.Ord1 0.287295427 0.284058125 0.0231600075 0.015642570 0.022973007
ES.Ord1 0.000000000 0.278071117 0.0060146113 0.019803987 0.021552434
PRS.Ord1 0.278071117 0.000000000 0.0258021118 0.013967071 0.009394347
SAS.Ord1 0.006014611 0.025802112 0.0000000000 0.272025499 0.284031154
ILM.Ord1 0.019803987 0.013967071 0.2720254994 0.000000000 0.278263588
ULR.Ord1 0.021552434 0.009394347 0.2840311536 0.278263588 0.000000000
HSB.Ord1 0.015443698 0.023543527 0.2890181180 0.287415388 0.290094933
ML.Ord1 0.000000000 0.000000000 0.0000000000 0.017400150 0.006440408
EGW.Ord1 0.000000000 0.000000000 0.0068136333 0.006646624 0.012430916
RSR.Ord1 0.000000000 0.000000000 0.0029856145 0.021425166 0.008162160
KA.Ord1 0.000000000 0.000000000 0.0067563182 0.000000000 0.004360194
SD.Ord1 0.000000000 0.000000000 0.0219943706 0.008037810 0.005382243
FU.Ord1 0.000000000 0.000000000 0.0117416244 0.017610286 0.002862062
CS.Ord1 0.000000000 0.000000000 0.0197881207 0.003972624 0.014969000
CPS.Ord1 0.000000000 0.000000000 0.0009635509 0.006326251 0.007369040
HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1
TOT.Ord1 0.000000000 0.0001158347 0.0000000000 0.000000000 0.006803885
QS.Ord1 0.000000000 0.0000000000 0.0009374866 0.000000000 0.000000000
AS.Ord1 0.000000000 0.0029002141 0.0000000000 0.000000000 0.000000000
CP.Ord1 0.000000000 0.0000000000 0.0021231607 0.000000000 0.000000000
AT.Ord1 0.000000000 0.0015043929 0.0000000000 0.000000000 0.000000000
DC.Ord1 0.000000000 0.0000000000 0.0000000000 0.000000000 0.000000000
RCS.Ord1 0.000000000 0.0052608621 0.0000000000 0.000000000 0.000000000
HCR.Ord1 0.000000000 0.0000000000 0.0000000000 0.000000000 0.000000000
PS.Ord1 0.016249094 0.0000000000 0.0000000000 0.000000000 0.000000000
LP.Ord1 0.006512106 0.0000000000 0.0000000000 0.000000000 0.000000000
ES.Ord1 0.015443698 0.0000000000 0.0000000000 0.000000000 0.000000000
PRS.Ord1 0.023543527 0.0000000000 0.0000000000 0.000000000 0.000000000
SAS.Ord1 0.289018118 0.0000000000 0.0068136333 0.002985615 0.006756318
ILM.Ord1 0.287415388 0.0174001502 0.0066466238 0.021425166 0.000000000
ULR.Ord1 0.290094933 0.0064404076 0.0124309155 0.008162160 0.004360194
HSB.Ord1 0.000000000 0.0000000000 0.0061334956 0.015006047 0.019435256
ML.Ord1 0.000000000 0.0000000000 0.1275877069 0.141925192 0.130540207
EGW.Ord1 0.006133496 0.1275877069 0.0000000000 0.139073663 0.128609840
RSR.Ord1 0.015006047 0.1419251921 0.1390736630 0.000000000 0.139682602
KA.Ord1 0.019435256 0.1305402073 0.1286098401 0.139682602 0.000000000
SD.Ord1 0.001397793 0.1455606042 0.1226945658 0.134910470 0.143946071
FU.Ord1 0.000000000 0.1399648479 0.1466932971 0.130809888 0.136467098
CS.Ord1 0.001227858 0.1363704018 0.1467711076 0.127328196 0.131714445
CPS.Ord1 0.010170026 0.1274845946 0.1373022113 0.139680247 0.141841369
SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.000000e+00 0.0004924219 0.000000000 0.0035765762
QS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0028007985
AS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0012455934
CP.Ord1 0.000000e+00 0.0009645596 0.000000000 0.0000000000
AT.Ord1 0.000000e+00 0.0081047240 0.000000000 0.0000000000
DC.Ord1 2.504831e-06 0.0000000000 0.000000000 0.0000000000
RCS.Ord1 0.000000e+00 0.0001208696 0.000000000 0.0000000000
HCR.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0000000000
PS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0000000000
LP.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0000000000
ES.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0000000000
PRS.Ord1 0.000000e+00 0.0000000000 0.000000000 0.0000000000
SAS.Ord1 2.199437e-02 0.0117416244 0.019788121 0.0009635509
ILM.Ord1 8.037810e-03 0.0176102859 0.003972624 0.0063262514
ULR.Ord1 5.382243e-03 0.0028620619 0.014969000 0.0073690398
HSB.Ord1 1.397793e-03 0.0000000000 0.001227858 0.0101700258
ML.Ord1 1.455606e-01 0.1399648479 0.136370402 0.1274845946
EGW.Ord1 1.226946e-01 0.1466932971 0.146771108 0.1373022113
RSR.Ord1 1.349105e-01 0.1308098883 0.127328196 0.1396802468
KA.Ord1 1.439461e-01 0.1364670985 0.131714445 0.1418413693
SD.Ord1 0.000000e+00 0.1343663517 0.129591916 0.1403811536
FU.Ord1 1.343664e-01 0.0000000000 0.129719574 0.1312199463
CS.Ord1 1.295919e-01 0.1297195740 0.000000000 0.1419497582
CPS.Ord1 1.403812e-01 0.1312199463 0.141949758 0.0000000000
attr(,"methods")
attr(,"methods")$corr
[1] "pearson"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.09515466
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] -100987.6
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1 HCR.Ord1
1 1 1 1 1 1 1 1
PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1
2 2 2 2 3 3 3 3
ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
4 4 4 4 4 4 4 4
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "higher"
attr(,"methods")$consensus.method
[1] "most_common"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 4
$correlation
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1
TOT.Ord1 1.0000000 0.9463082 0.9485868 0.9432952 0.9470106 0.9463003 0.9439848
QS.Ord1 0.9463082 1.0000000 0.9478017 0.9467589 0.9476974 0.9491255 0.9452170
AS.Ord1 0.9485868 0.9478017 1.0000000 0.9467333 0.9486506 0.9488432 0.9456964
CP.Ord1 0.9432952 0.9467589 0.9467333 1.0000000 0.9461167 0.9482766 0.9446852
AT.Ord1 0.9470106 0.9476974 0.9486506 0.9461167 1.0000000 0.9475096 0.9446304
DC.Ord1 0.9463003 0.9491255 0.9488432 0.9482766 0.9475096 1.0000000 0.9455848
RCS.Ord1 0.9439848 0.9452170 0.9456964 0.9446852 0.9446304 0.9455848 1.0000000
HCR.Ord1 0.9473194 0.9475172 0.9515466 0.9463908 0.9481433 0.9471250 0.9468026
PS.Ord1 0.7004864 0.6998825 0.7065495 0.7024358 0.7051134 0.6986142 0.7028803
LP.Ord1 0.7036475 0.7032270 0.7073385 0.7050909 0.7060566 0.6990674 0.7075002
ES.Ord1 0.7034693 0.7053113 0.7090861 0.7105041 0.7087876 0.7030825 0.7084400
PRS.Ord1 0.7113625 0.7096605 0.7154821 0.7118073 0.7142806 0.7084299 0.7142596
SAS.Ord1 0.4597379 0.4539418 0.4626791 0.4552463 0.4621722 0.4524919 0.4590505
ILM.Ord1 0.4631888 0.4590425 0.4656895 0.4591148 0.4671739 0.4563523 0.4624336
ULR.Ord1 0.4602749 0.4561532 0.4640100 0.4567582 0.4666426 0.4537458 0.4583725
HSB.Ord1 0.4613310 0.4568050 0.4632502 0.4538637 0.4643829 0.4524333 0.4601672
ML.Ord1 0.4735825 0.4692005 0.4723788 0.4686639 0.4745173 0.4662871 0.4723571
EGW.Ord1 0.4698785 0.4669311 0.4679837 0.4677146 0.4701701 0.4625602 0.4688712
RSR.Ord1 0.4679551 0.4638374 0.4631329 0.4623506 0.4668700 0.4581318 0.4653713
KA.Ord1 0.4740214 0.4664815 0.4699858 0.4681186 0.4709618 0.4662252 0.4703522
SD.Ord1 0.4686226 0.4630710 0.4639578 0.4648004 0.4691533 0.4631808 0.4668840
FU.Ord1 0.4751404 0.4707131 0.4713002 0.4717791 0.4768954 0.4671734 0.4731861
CS.Ord1 0.4698629 0.4649654 0.4649323 0.4636332 0.4677556 0.4615839 0.4678767
CPS.Ord1 0.4733950 0.4692337 0.4715083 0.4686047 0.4714697 0.4655350 0.4706461
HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1
TOT.Ord1 0.9473194 0.7004864 0.7036475 0.7034693 0.7113625 0.4597379 0.4631888
QS.Ord1 0.9475172 0.6998825 0.7032270 0.7053113 0.7096605 0.4539418 0.4590425
AS.Ord1 0.9515466 0.7065495 0.7073385 0.7090861 0.7154821 0.4626791 0.4656895
CP.Ord1 0.9463908 0.7024358 0.7050909 0.7105041 0.7118073 0.4552463 0.4591148
AT.Ord1 0.9481433 0.7051134 0.7060566 0.7087876 0.7142806 0.4621722 0.4671739
DC.Ord1 0.9471250 0.6986142 0.6990674 0.7030825 0.7084299 0.4524919 0.4563523
RCS.Ord1 0.9468026 0.7028803 0.7075002 0.7084400 0.7142596 0.4590505 0.4624336
HCR.Ord1 1.0000000 0.7026441 0.7062479 0.7075995 0.7116536 0.4562953 0.4615813
PS.Ord1 0.7026441 1.0000000 0.9463227 0.9461290 0.9468380 0.7093559 0.7094111
LP.Ord1 0.7062479 0.9463227 1.0000000 0.9469498 0.9475708 0.7120882 0.7107900
ES.Ord1 0.7075995 0.9461290 0.9469498 1.0000000 0.9465444 0.7082159 0.7094123
PRS.Ord1 0.7116536 0.9468380 0.9475708 0.9465444 1.0000000 0.7145553 0.7127586
SAS.Ord1 0.4562953 0.7093559 0.7120882 0.7082159 0.7145553 1.0000000 0.9447993
ILM.Ord1 0.4615813 0.7094111 0.7107900 0.7094123 0.7127586 0.9447993 1.0000000
ULR.Ord1 0.4567070 0.7073728 0.7104582 0.7084123 0.7110399 0.9459960 0.9452344
HSB.Ord1 0.4559280 0.7065882 0.7073448 0.7064681 0.7114499 0.9469325 0.9466425
ML.Ord1 0.4677524 0.4771700 0.4736666 0.4815740 0.4859009 0.7072267 0.7144313
EGW.Ord1 0.4648498 0.4770582 0.4758305 0.4826269 0.4816274 0.7114872 0.7149310
RSR.Ord1 0.4621227 0.4804103 0.4788190 0.4846941 0.4870690 0.7167190 0.7224684
KA.Ord1 0.4640227 0.4811643 0.4772672 0.4862517 0.4868271 0.7120294 0.7141782
SD.Ord1 0.4622220 0.4748711 0.4724829 0.4810285 0.4817773 0.7147316 0.7164754
FU.Ord1 0.4691495 0.4808733 0.4788768 0.4864190 0.4871857 0.7133665 0.7175694
CS.Ord1 0.4636449 0.4821183 0.4784137 0.4850328 0.4860221 0.7150496 0.7165103
CPS.Ord1 0.4657471 0.4810762 0.4770346 0.4874141 0.4872956 0.7098013 0.7139154
ULR.Ord1 HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1
TOT.Ord1 0.4602749 0.4613310 0.4735825 0.4698785 0.4679551 0.4740214 0.4686226
QS.Ord1 0.4561532 0.4568050 0.4692005 0.4669311 0.4638374 0.4664815 0.4630710
AS.Ord1 0.4640100 0.4632502 0.4723788 0.4679837 0.4631329 0.4699858 0.4639578
CP.Ord1 0.4567582 0.4538637 0.4686639 0.4677146 0.4623506 0.4681186 0.4648004
AT.Ord1 0.4666426 0.4643829 0.4745173 0.4701701 0.4668700 0.4709618 0.4691533
DC.Ord1 0.4537458 0.4524333 0.4662871 0.4625602 0.4581318 0.4662252 0.4631808
RCS.Ord1 0.4583725 0.4601672 0.4723571 0.4688712 0.4653713 0.4703522 0.4668840
HCR.Ord1 0.4567070 0.4559280 0.4677524 0.4648498 0.4621227 0.4640227 0.4622220
PS.Ord1 0.7073728 0.7065882 0.4771700 0.4770582 0.4804103 0.4811643 0.4748711
LP.Ord1 0.7104582 0.7073448 0.4736666 0.4758305 0.4788190 0.4772672 0.4724829
ES.Ord1 0.7084123 0.7064681 0.4815740 0.4826269 0.4846941 0.4862517 0.4810285
PRS.Ord1 0.7110399 0.7114499 0.4859009 0.4816274 0.4870690 0.4868271 0.4817773
SAS.Ord1 0.9459960 0.9469325 0.7072267 0.7114872 0.7167190 0.7120294 0.7147316
ILM.Ord1 0.9452344 0.9466425 0.7144313 0.7149310 0.7224684 0.7141782 0.7164754
ULR.Ord1 1.0000000 0.9468405 0.7062910 0.7089420 0.7141529 0.7084588 0.7094361
HSB.Ord1 0.9468405 1.0000000 0.7029642 0.7056595 0.7125519 0.7078350 0.7065009
ML.Ord1 0.7062910 0.7029642 1.0000000 0.9428713 0.9462983 0.9438329 0.9457785
EGW.Ord1 0.7089420 0.7056595 0.9428713 1.0000000 0.9461330 0.9437637 0.9429472
RSR.Ord1 0.7141529 0.7125519 0.9462983 0.9461330 1.0000000 0.9467840 0.9461668
KA.Ord1 0.7084588 0.7078350 0.9438329 0.9437637 0.9467840 1.0000000 0.9463386
SD.Ord1 0.7094361 0.7065009 0.9457785 0.9429472 0.9461668 0.9463386 1.0000000
FU.Ord1 0.7090295 0.7060105 0.9449544 0.9460227 0.9455127 0.9452155 0.9449324
CS.Ord1 0.7112375 0.7070541 0.9438468 0.9455051 0.9444932 0.9440135 0.9437540
CPS.Ord1 0.7073154 0.7051626 0.9438398 0.9453246 0.9471584 0.9464931 0.9462283
FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.4751404 0.4698629 0.4733950
QS.Ord1 0.4707131 0.4649654 0.4692337
AS.Ord1 0.4713002 0.4649323 0.4715083
CP.Ord1 0.4717791 0.4636332 0.4686047
AT.Ord1 0.4768954 0.4677556 0.4714697
DC.Ord1 0.4671734 0.4615839 0.4655350
RCS.Ord1 0.4731861 0.4678767 0.4706461
HCR.Ord1 0.4691495 0.4636449 0.4657471
PS.Ord1 0.4808733 0.4821183 0.4810762
LP.Ord1 0.4788768 0.4784137 0.4770346
ES.Ord1 0.4864190 0.4850328 0.4874141
PRS.Ord1 0.4871857 0.4860221 0.4872956
SAS.Ord1 0.7133665 0.7150496 0.7098013
ILM.Ord1 0.7175694 0.7165103 0.7139154
ULR.Ord1 0.7090295 0.7112375 0.7073154
HSB.Ord1 0.7060105 0.7070541 0.7051626
ML.Ord1 0.9449544 0.9438468 0.9438398
EGW.Ord1 0.9460227 0.9455051 0.9453246
RSR.Ord1 0.9455127 0.9444932 0.9471584
KA.Ord1 0.9452155 0.9440135 0.9464931
SD.Ord1 0.9449324 0.9437540 0.9462283
FU.Ord1 1.0000000 0.9436465 0.9449221
CS.Ord1 0.9436465 1.0000000 0.9457602
CPS.Ord1 0.9449221 0.9457602 1.0000000
$n
[1] 4600
$dim.variables
items dimension
1 TOT.Ord1 1
2 QS.Ord1 1
3 AS.Ord1 1
4 CP.Ord1 1
5 AT.Ord1 1
6 DC.Ord1 1
7 RCS.Ord1 1
8 HCR.Ord1 1
9 PS.Ord1 2
10 LP.Ord1 2
11 ES.Ord1 2
12 PRS.Ord1 2
13 SAS.Ord1 3
14 ILM.Ord1 3
15 ULR.Ord1 3
16 HSB.Ord1 3
17 ML.Ord1 4
18 EGW.Ord1 4
19 RSR.Ord1 4
20 KA.Ord1 4
21 SD.Ord1 4
22 FU.Ord1 4
23 CS.Ord1 4
24 CPS.Ord1 4
$TEFI
[1] -19.08554
attr(,"class")
[1] "dynEGA.Population"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULL
Output 9 and Figure 7 show the extraction of the dynamic EGA results at the population level. The analysis, conducted with Pearson correlations and a regularization parameter (lambda) of approximately 0.095, involves 24 variables (nodes) and 156 edges, resulting in an edge density of 0.565. The non-zero edge weights have a mean of 0.076, a standard deviation of 0.085, and range from 0.000 to 0.290, indicating various strengths of connections between the variables. Furthermore, the analysis identified four distinct communities within the network. The community assignments are as follows: TOT.Ord1, QS.Ord1, AS.Ord1, CP.Ord1, AT.Ord1, DC.Ord1, RCS.Ord1, and HCR.Ord1 form Community 1; PS.Ord1, LP.Ord1, and ES.Ord1 form Community 2; SAS.Ord1, ILM.Ord1, ULR.Ord1, and HSB.Ord1 form Community 3; and ML.Ord1, EGW.Ord1, RSR.Ord1, KA.Ord1, SD.Ord1, FU.Ord1, CS.Ord1, and CPS.Ord1 form Community 4. The population-level structure has TEFI = -19.086.
Output 10. Group-Level Dynamic EGA Output of the Simulated Data
simulated_all$dynEGA$group$"1" #group 1$network
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1
TOT.Ord1 0.00000000 0.09044908 0.102247381 0.073935877 0.103059427 0.08512433
QS.Ord1 0.09044908 0.00000000 0.091217436 0.091597782 0.098228026 0.09979125
AS.Ord1 0.10224738 0.09121744 0.000000000 0.072704397 0.099142224 0.09095375
CP.Ord1 0.07393588 0.09159778 0.072704397 0.000000000 0.099228282 0.10545787
AT.Ord1 0.10305943 0.09822803 0.099142224 0.099228282 0.000000000 0.06652264
DC.Ord1 0.08512433 0.09979125 0.090953753 0.105457871 0.066522637 0.00000000
RCS.Ord1 0.08044749 0.08435601 0.086470345 0.087693639 0.067348529 0.09080407
HCR.Ord1 0.08973881 0.07522435 0.093989786 0.080286797 0.088026078 0.08564135
PS.Ord1 0.08622552 0.09383874 0.088715868 0.094960446 0.096981390 0.09117183
LP.Ord1 0.07976908 0.08724395 0.098509869 0.089323932 0.084411771 0.07841723
ES.Ord1 0.07866586 0.08708535 0.083880176 0.109182111 0.099024941 0.09194809
PRS.Ord1 0.09276845 0.09348678 0.087755027 0.077338326 0.081256338 0.09298434
SAS.Ord1 0.00000000 0.00000000 0.005456859 0.000000000 0.000000000 0.00000000
ILM.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000
ULR.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.004879822 0.00000000
HSB.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000
ML.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.002538724 0.00000000
EGW.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000
RSR.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.001442183 0.00000000
KA.Ord1 0.01409419 0.00000000 0.004656324 0.000000000 0.000000000 0.00000000
SD.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000
FU.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.012065684 0.00000000
CS.Ord1 0.00000000 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000
CPS.Ord1 0.00000000 0.00175522 0.003315670 0.003527666 0.000000000 0.00000000
RCS.Ord1 HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1
TOT.Ord1 0.080447485 0.089738809 0.0862255187 0.079769082 0.0786658554
QS.Ord1 0.084356007 0.075224348 0.0938387435 0.087243950 0.0870853495
AS.Ord1 0.086470345 0.093989786 0.0887158684 0.098509869 0.0838801756
CP.Ord1 0.087693639 0.080286797 0.0949604461 0.089323932 0.1091821106
AT.Ord1 0.067348529 0.088026078 0.0969813899 0.084411771 0.0990249411
DC.Ord1 0.090804071 0.085641348 0.0911718277 0.078417227 0.0919480911
RCS.Ord1 0.000000000 0.098810846 0.0898355553 0.104374610 0.0916371476
HCR.Ord1 0.098810846 0.000000000 0.0830026182 0.107969249 0.0978372791
PS.Ord1 0.089835555 0.083002618 0.0000000000 0.075230880 0.0868449764
LP.Ord1 0.104374610 0.107969249 0.0752308796 0.000000000 0.0838434136
ES.Ord1 0.091637148 0.097837279 0.0868449764 0.083843414 0.0000000000
PRS.Ord1 0.090771731 0.094579755 0.0864516562 0.090583939 0.0797216269
SAS.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
ILM.Ord1 0.001808089 0.000000000 0.0007597399 0.000000000 0.0003177787
ULR.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
HSB.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
ML.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
EGW.Ord1 0.000000000 0.000000000 0.0000000000 0.005597153 0.0000000000
RSR.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
KA.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
SD.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0000000000
FU.Ord1 0.002731792 0.000000000 0.0000000000 0.000000000 0.0000000000
CS.Ord1 0.000000000 0.001580588 0.0046950155 0.000000000 0.0000000000
CPS.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.0059941335
PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1
TOT.Ord1 0.092768453 0.000000000 0.0000000000 0.000000000 0.00000000
QS.Ord1 0.093486784 0.000000000 0.0000000000 0.000000000 0.00000000
AS.Ord1 0.087755027 0.005456859 0.0000000000 0.000000000 0.00000000
CP.Ord1 0.077338326 0.000000000 0.0000000000 0.000000000 0.00000000
AT.Ord1 0.081256338 0.000000000 0.0000000000 0.004879822 0.00000000
DC.Ord1 0.092984344 0.000000000 0.0000000000 0.000000000 0.00000000
RCS.Ord1 0.090771731 0.000000000 0.0018080890 0.000000000 0.00000000
HCR.Ord1 0.094579755 0.000000000 0.0000000000 0.000000000 0.00000000
PS.Ord1 0.086451656 0.000000000 0.0007597399 0.000000000 0.00000000
LP.Ord1 0.090583939 0.000000000 0.0000000000 0.000000000 0.00000000
ES.Ord1 0.079721627 0.000000000 0.0003177787 0.000000000 0.00000000
PRS.Ord1 0.000000000 0.000000000 0.0000000000 0.000000000 0.00000000
SAS.Ord1 0.000000000 0.000000000 0.0852435831 0.085355692 0.07522521
ILM.Ord1 0.000000000 0.085243583 0.0000000000 0.086026035 0.09263790
ULR.Ord1 0.000000000 0.085355692 0.0860260353 0.000000000 0.10134239
HSB.Ord1 0.000000000 0.075225207 0.0926378955 0.101342393 0.00000000
ML.Ord1 0.006179900 0.072183104 0.0988588256 0.103609160 0.10258499
EGW.Ord1 0.000000000 0.091578684 0.0840143630 0.095970887 0.08200043
RSR.Ord1 0.000000000 0.083960665 0.1031416328 0.082557561 0.09415118
KA.Ord1 0.000000000 0.083035453 0.0703228016 0.089253577 0.09973320
SD.Ord1 0.000000000 0.098686451 0.0775878817 0.078273218 0.08488180
FU.Ord1 0.000000000 0.098767276 0.0920312215 0.084303632 0.08859821
CS.Ord1 0.007165759 0.109360586 0.0890751410 0.089231670 0.07399461
CPS.Ord1 0.006132920 0.092995661 0.0922748710 0.088100980 0.08912541
ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1
TOT.Ord1 0.000000000 0.000000000 0.000000000 0.014094189 0.00000000 0.000000000
QS.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
AS.Ord1 0.000000000 0.000000000 0.000000000 0.004656324 0.00000000 0.000000000
CP.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
AT.Ord1 0.002538724 0.000000000 0.001442183 0.000000000 0.00000000 0.012065684
DC.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
RCS.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.002731792
HCR.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
PS.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
LP.Ord1 0.000000000 0.005597153 0.000000000 0.000000000 0.00000000 0.000000000
ES.Ord1 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
PRS.Ord1 0.006179900 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
SAS.Ord1 0.072183104 0.091578684 0.083960665 0.083035453 0.09868645 0.098767276
ILM.Ord1 0.098858826 0.084014363 0.103141633 0.070322802 0.07758788 0.092031221
ULR.Ord1 0.103609160 0.095970887 0.082557561 0.089253577 0.07827322 0.084303632
HSB.Ord1 0.102584995 0.082000425 0.094151177 0.099733196 0.08488180 0.088598205
ML.Ord1 0.000000000 0.076972351 0.103065752 0.080155201 0.10007684 0.072073690
EGW.Ord1 0.076972351 0.000000000 0.088234179 0.081612385 0.07840921 0.106022439
RSR.Ord1 0.103065752 0.088234179 0.000000000 0.094647929 0.09753051 0.083525335
KA.Ord1 0.080155201 0.081612385 0.094647929 0.000000000 0.10327089 0.095324298
SD.Ord1 0.100076840 0.078409211 0.097530515 0.103270890 0.00000000 0.096859401
FU.Ord1 0.072073690 0.106022439 0.083525335 0.095324298 0.09685940 0.000000000
CS.Ord1 0.089147756 0.110691066 0.077418543 0.091428612 0.07890797 0.076281235
CPS.Ord1 0.084762718 0.075119101 0.090614869 0.100316188 0.09179978 0.082344836
CS.Ord1 CPS.Ord1
TOT.Ord1 0.000000000 0.000000000
QS.Ord1 0.000000000 0.001755220
AS.Ord1 0.000000000 0.003315670
CP.Ord1 0.000000000 0.003527666
AT.Ord1 0.000000000 0.000000000
DC.Ord1 0.000000000 0.000000000
RCS.Ord1 0.000000000 0.000000000
HCR.Ord1 0.001580588 0.000000000
PS.Ord1 0.004695015 0.000000000
LP.Ord1 0.000000000 0.000000000
ES.Ord1 0.000000000 0.005994134
PRS.Ord1 0.007165759 0.006132920
SAS.Ord1 0.109360586 0.092995661
ILM.Ord1 0.089075141 0.092274871
ULR.Ord1 0.089231670 0.088100980
HSB.Ord1 0.073994609 0.089125406
ML.Ord1 0.089147756 0.084762718
EGW.Ord1 0.110691066 0.075119101
RSR.Ord1 0.077418543 0.090614869
KA.Ord1 0.091428612 0.100316188
SD.Ord1 0.078907968 0.091799777
FU.Ord1 0.076281235 0.082344836
CS.Ord1 0.000000000 0.086358152
CPS.Ord1 0.086358152 0.000000000
attr(,"methods")
attr(,"methods")$corr
[1] "pearson"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.09510508
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] -60003.67
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1 HCR.Ord1
1 1 1 1 1 1 1 1
PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1
1 1 1 1 2 2 2 2
ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
2 2 2 2 2 2 2 2
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "higher"
attr(,"methods")$consensus.method
[1] "most_common"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 2
$correlation
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1
TOT.Ord1 1.0000000 0.9463027 0.9488441 0.9427490 0.9479132 0.9437623 0.9426374
QS.Ord1 0.9463027 1.0000000 0.9501344 0.9481775 0.9499840 0.9487499 0.9461112
AS.Ord1 0.9488441 0.9501344 1.0000000 0.9464054 0.9510508 0.9482857 0.9472687
CP.Ord1 0.9427490 0.9481775 0.9464054 1.0000000 0.9488953 0.9483244 0.9453949
AT.Ord1 0.9479132 0.9499840 0.9510508 0.9488953 1.0000000 0.9439978 0.9435778
DC.Ord1 0.9437623 0.9487499 0.9482857 0.9483244 0.9439978 1.0000000 0.9453648
RCS.Ord1 0.9426374 0.9461112 0.9472687 0.9453949 0.9435778 0.9453648 1.0000000
HCR.Ord1 0.9464404 0.9474177 0.9507998 0.9468745 0.9488451 0.9470578 0.9484392
PS.Ord1 0.9437246 0.9476644 0.9477615 0.9466099 0.9478514 0.9455722 0.9448182
LP.Ord1 0.9435538 0.9474058 0.9498265 0.9464714 0.9468394 0.9445684 0.9476679
ES.Ord1 0.9445710 0.9486504 0.9490355 0.9504861 0.9500452 0.9476144 0.9470491
PRS.Ord1 0.9446604 0.9475065 0.9477183 0.9440796 0.9457630 0.9457234 0.9449935
SAS.Ord1 0.4548056 0.4483873 0.4597346 0.4479049 0.4609147 0.4433908 0.4485522
ILM.Ord1 0.4537880 0.4485729 0.4550598 0.4471374 0.4607688 0.4453621 0.4499184
ULR.Ord1 0.4564679 0.4459213 0.4583521 0.4480599 0.4640572 0.4442606 0.4483981
HSB.Ord1 0.4504525 0.4450274 0.4507767 0.4430951 0.4557068 0.4367468 0.4444097
ML.Ord1 0.4590652 0.4520911 0.4603642 0.4516390 0.4658563 0.4446683 0.4531537
EGW.Ord1 0.4558734 0.4505914 0.4575149 0.4500284 0.4590182 0.4440707 0.4509188
RSR.Ord1 0.4558901 0.4487756 0.4550114 0.4477052 0.4619877 0.4406455 0.4482421
KA.Ord1 0.4694134 0.4580539 0.4689093 0.4578633 0.4704130 0.4533391 0.4597065
SD.Ord1 0.4520421 0.4458243 0.4524364 0.4446642 0.4592420 0.4423835 0.4460710
FU.Ord1 0.4634135 0.4542161 0.4631540 0.4558468 0.4711400 0.4457240 0.4582643
CS.Ord1 0.4619241 0.4534123 0.4607079 0.4522378 0.4664928 0.4489967 0.4549518
CPS.Ord1 0.4675603 0.4617657 0.4694549 0.4622327 0.4720066 0.4548717 0.4614122
HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1
TOT.Ord1 0.9464404 0.9437246 0.9435538 0.9445710 0.9446604 0.4548056 0.4537880
QS.Ord1 0.9474177 0.9476644 0.9474058 0.9486504 0.9475065 0.4483873 0.4485729
AS.Ord1 0.9507998 0.9477615 0.9498265 0.9490355 0.9477183 0.4597346 0.4550598
CP.Ord1 0.9468745 0.9466099 0.9464714 0.9504861 0.9440796 0.4479049 0.4471374
AT.Ord1 0.9488451 0.9478514 0.9468394 0.9500452 0.9457630 0.4609147 0.4607688
DC.Ord1 0.9470578 0.9455722 0.9445684 0.9476144 0.9457234 0.4433908 0.4453621
RCS.Ord1 0.9484392 0.9448182 0.9476679 0.9470491 0.9449935 0.4485522 0.4499184
HCR.Ord1 1.0000000 0.9463754 0.9505976 0.9503342 0.9479439 0.4493409 0.4490951
PS.Ord1 0.9463754 1.0000000 0.9437992 0.9466410 0.9445616 0.4511280 0.4507011
LP.Ord1 0.9505976 0.9437992 1.0000000 0.9469563 0.9458973 0.4507828 0.4490767
ES.Ord1 0.9503342 0.9466410 0.9469563 1.0000000 0.9455643 0.4484558 0.4518095
PRS.Ord1 0.9479439 0.9445616 0.9458973 0.9455643 1.0000000 0.4614386 0.4583849
SAS.Ord1 0.4493409 0.4511280 0.4507828 0.4484558 0.4614386 1.0000000 0.9406186
ILM.Ord1 0.4490951 0.4507011 0.4490767 0.4518095 0.4583849 0.9406186 1.0000000
ULR.Ord1 0.4470765 0.4476846 0.4523694 0.4493316 0.4572275 0.9422134 0.9417227
HSB.Ord1 0.4416252 0.4432392 0.4432651 0.4448735 0.4532195 0.9405798 0.9424703
ML.Ord1 0.4514027 0.4528841 0.4523309 0.4554118 0.4644997 0.9405098 0.9436614
EGW.Ord1 0.4498789 0.4498928 0.4535687 0.4529002 0.4600869 0.9416305 0.9397873
RSR.Ord1 0.4479929 0.4494669 0.4512004 0.4499237 0.4597462 0.9435862 0.9456531
KA.Ord1 0.4572169 0.4588516 0.4606675 0.4624265 0.4677489 0.9432926 0.9407702
SD.Ord1 0.4456630 0.4485986 0.4483488 0.4484640 0.4575649 0.9441927 0.9406087
FU.Ord1 0.4534412 0.4546887 0.4583812 0.4594431 0.4662725 0.9437192 0.9419860
CS.Ord1 0.4566911 0.4584447 0.4575100 0.4579262 0.4675568 0.9445698 0.9409547
CPS.Ord1 0.4587106 0.4602585 0.4613020 0.4648811 0.4724526 0.9429392 0.9421167
ULR.Ord1 HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1
TOT.Ord1 0.4564679 0.4504525 0.4590652 0.4558734 0.4558901 0.4694134 0.4520421
QS.Ord1 0.4459213 0.4450274 0.4520911 0.4505914 0.4487756 0.4580539 0.4458243
AS.Ord1 0.4583521 0.4507767 0.4603642 0.4575149 0.4550114 0.4689093 0.4524364
CP.Ord1 0.4480599 0.4430951 0.4516390 0.4500284 0.4477052 0.4578633 0.4446642
AT.Ord1 0.4640572 0.4557068 0.4658563 0.4590182 0.4619877 0.4704130 0.4592420
DC.Ord1 0.4442606 0.4367468 0.4446683 0.4440707 0.4406455 0.4533391 0.4423835
RCS.Ord1 0.4483981 0.4444097 0.4531537 0.4509188 0.4482421 0.4597065 0.4460710
HCR.Ord1 0.4470765 0.4416252 0.4514027 0.4498789 0.4479929 0.4572169 0.4456630
PS.Ord1 0.4476846 0.4432392 0.4528841 0.4498928 0.4494669 0.4588516 0.4485986
LP.Ord1 0.4523694 0.4432651 0.4523309 0.4535687 0.4512004 0.4606675 0.4483488
ES.Ord1 0.4493316 0.4448735 0.4554118 0.4529002 0.4499237 0.4624265 0.4484640
PRS.Ord1 0.4572275 0.4532195 0.4644997 0.4600869 0.4597462 0.4677489 0.4575649
SAS.Ord1 0.9422134 0.9405798 0.9405098 0.9416305 0.9435862 0.9432926 0.9441927
ILM.Ord1 0.9417227 0.9424703 0.9436614 0.9397873 0.9456531 0.9407702 0.9406087
ULR.Ord1 1.0000000 0.9452925 0.9458842 0.9430511 0.9444364 0.9450187 0.9423134
HSB.Ord1 0.9452925 1.0000000 0.9456175 0.9408643 0.9458967 0.9462520 0.9431019
ML.Ord1 0.9458842 0.9456175 1.0000000 0.9404837 0.9473948 0.9439648 0.9453918
EGW.Ord1 0.9430511 0.9408643 0.9404837 1.0000000 0.9434450 0.9423340 0.9406367
RSR.Ord1 0.9444364 0.9458967 0.9473948 0.9434450 1.0000000 0.9472805 0.9465722
KA.Ord1 0.9450187 0.9462520 0.9439648 0.9423340 0.9472805 1.0000000 0.9470336
SD.Ord1 0.9423134 0.9431019 0.9453918 0.9406367 0.9465722 0.9470336 1.0000000
FU.Ord1 0.9425864 0.9429553 0.9409986 0.9440251 0.9440557 0.9454775 0.9444035
CS.Ord1 0.9426642 0.9402501 0.9426680 0.9440745 0.9425296 0.9442022 0.9412501
CPS.Ord1 0.9431684 0.9431254 0.9429107 0.9397081 0.9450954 0.9463034 0.9437945
FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.4634135 0.4619241 0.4675603
QS.Ord1 0.4542161 0.4534123 0.4617657
AS.Ord1 0.4631540 0.4607079 0.4694549
CP.Ord1 0.4558468 0.4522378 0.4622327
AT.Ord1 0.4711400 0.4664928 0.4720066
DC.Ord1 0.4457240 0.4489967 0.4548717
RCS.Ord1 0.4582643 0.4549518 0.4614122
HCR.Ord1 0.4534412 0.4566911 0.4587106
PS.Ord1 0.4546887 0.4584447 0.4602585
LP.Ord1 0.4583812 0.4575100 0.4613020
ES.Ord1 0.4594431 0.4579262 0.4648811
PRS.Ord1 0.4662725 0.4675568 0.4724526
SAS.Ord1 0.9437192 0.9445698 0.9429392
ILM.Ord1 0.9419860 0.9409547 0.9421167
ULR.Ord1 0.9425864 0.9426642 0.9431684
HSB.Ord1 0.9429553 0.9402501 0.9431254
ML.Ord1 0.9409986 0.9426680 0.9429107
EGW.Ord1 0.9440251 0.9440745 0.9397081
RSR.Ord1 0.9440557 0.9425296 0.9450954
KA.Ord1 0.9454775 0.9442022 0.9463034
SD.Ord1 0.9444035 0.9412501 0.9437945
FU.Ord1 1.0000000 0.9404881 0.9420206
CS.Ord1 0.9404881 1.0000000 0.9419097
CPS.Ord1 0.9420206 0.9419097 1.0000000
$n
[1] 2300
$dim.variables
items dimension
1 TOT.Ord1 1
2 QS.Ord1 1
3 AS.Ord1 1
4 CP.Ord1 1
5 AT.Ord1 1
6 DC.Ord1 1
7 RCS.Ord1 1
8 HCR.Ord1 1
9 PS.Ord1 1
10 LP.Ord1 1
11 ES.Ord1 1
12 PRS.Ord1 1
13 SAS.Ord1 2
14 ILM.Ord1 2
15 ULR.Ord1 2
16 HSB.Ord1 2
17 ML.Ord1 2
18 EGW.Ord1 2
19 RSR.Ord1 2
20 KA.Ord1 2
21 SD.Ord1 2
22 FU.Ord1 2
23 CS.Ord1 2
24 CPS.Ord1 2
$TEFI
[1] -28.64592
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULLsimulated_all$dynEGA$group$"2" #group2$network
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1
TOT.Ord1 0.0000000000 0.1381124198 0.143773129 0.125868474 0.135400290
QS.Ord1 0.1381124198 0.0000000000 0.125554521 0.140654931 0.133515441
AS.Ord1 0.1437731285 0.1255545211 0.000000000 0.143814064 0.129880193
CP.Ord1 0.1258684737 0.1406549311 0.143814064 0.000000000 0.123497429
AT.Ord1 0.1354002898 0.1335154413 0.129880193 0.123497429 0.000000000
DC.Ord1 0.1399353643 0.1489217252 0.139165767 0.147135890 0.159276426
RCS.Ord1 0.1398580576 0.1359358837 0.124729289 0.139343157 0.144358598
HCR.Ord1 0.1421693024 0.1415783449 0.167260689 0.134421576 0.138948045
PS.Ord1 0.0000000000 0.0000000000 0.004332559 0.000000000 0.000000000
LP.Ord1 0.0099478271 0.0012262830 0.000000000 0.000000000 0.000000000
ES.Ord1 0.0000000000 0.0000000000 0.000000000 0.008843302 0.000000000
PRS.Ord1 0.0001501559 0.0000000000 0.010854483 0.000000000 0.012144232
SAS.Ord1 0.0000000000 0.0000000000 0.000000000 0.000000000 0.000000000
ILM.Ord1 0.0000000000 0.0000000000 0.000000000 0.000000000 0.000000000
ULR.Ord1 0.0000000000 0.0035525557 0.000000000 0.000000000 0.000000000
HSB.Ord1 0.0000000000 0.0000000000 0.001985430 0.000000000 0.001653549
ML.Ord1 0.0030772042 0.0008663070 0.003380653 0.000000000 0.000000000
EGW.Ord1 0.0000000000 0.0015957774 0.000000000 0.007870024 0.004924154
RSR.Ord1 0.0000000000 0.0023848689 0.000000000 0.000000000 0.000000000
KA.Ord1 0.0001436292 0.0000000000 0.000000000 0.000000000 0.000000000
SD.Ord1 0.0044200288 0.0000000000 0.000000000 0.004837467 0.000000000
FU.Ord1 0.0000000000 0.0060643058 0.000000000 0.000879158 0.000000000
CS.Ord1 0.0000000000 0.0006722667 0.000000000 0.000000000 0.000000000
CPS.Ord1 0.0045693624 0.0000000000 0.000000000 0.000000000 0.000000000
DC.Ord1 RCS.Ord1 HCR.Ord1 PS.Ord1 LP.Ord1
TOT.Ord1 0.1399353643 0.139858058 0.1421693024 0.0000000000 0.0099478271
QS.Ord1 0.1489217252 0.135935884 0.1415783449 0.0000000000 0.0012262830
AS.Ord1 0.1391657671 0.124729289 0.1672606888 0.0043325587 0.0000000000
CP.Ord1 0.1471358902 0.139343157 0.1344215755 0.0000000000 0.0000000000
AT.Ord1 0.1592764264 0.144358598 0.1389480446 0.0000000000 0.0000000000
DC.Ord1 0.0000000000 0.130674292 0.1211452789 0.0000000000 0.0000000000
RCS.Ord1 0.1306742918 0.000000000 0.1325696782 0.0000000000 0.0025716163
HCR.Ord1 0.1211452789 0.132569678 0.0000000000 0.0000000000 0.0005518768
PS.Ord1 0.0000000000 0.000000000 0.0000000000 0.0000000000 0.1476578949
LP.Ord1 0.0000000000 0.002571616 0.0005518768 0.1476578949 0.0000000000
ES.Ord1 0.0001657767 0.000000000 0.0000000000 0.1311190858 0.1380870960
PRS.Ord1 0.0009960898 0.006511831 0.0000000000 0.1458374039 0.1428633656
SAS.Ord1 0.0000000000 0.000000000 0.0000000000 0.1272046069 0.1471378915
ILM.Ord1 0.0000000000 0.000000000 0.0063572823 0.1330536331 0.1418865382
ULR.Ord1 0.0000000000 0.000000000 0.0000000000 0.1387648939 0.1269883242
HSB.Ord1 0.0000000000 0.004749692 0.0000000000 0.1381562921 0.1239227400
ML.Ord1 0.0017480340 0.010054798 0.0011217029 0.0000000000 0.0000000000
EGW.Ord1 0.0000000000 0.000000000 0.0000000000 0.0008035426 0.0000000000
RSR.Ord1 0.0000000000 0.000000000 0.0000000000 0.0006162183 0.0012543992
KA.Ord1 0.0054104460 0.000000000 0.0000000000 0.0053541150 0.0000000000
SD.Ord1 0.0000000000 0.004436946 0.0000000000 0.0000000000 0.0000000000
FU.Ord1 0.0055996428 0.000000000 0.0052662368 0.0000000000 0.0000000000
CS.Ord1 0.0000000000 0.001809497 0.0000000000 0.0073297229 0.0000000000
CPS.Ord1 0.0000000000 0.000000000 0.0000000000 0.0001232279 0.0000000000
ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1
TOT.Ord1 0.0000000000 0.0001501559 0.000000000 0.000000000 0.000000000
QS.Ord1 0.0000000000 0.0000000000 0.000000000 0.000000000 0.003552556
AS.Ord1 0.0000000000 0.0108544830 0.000000000 0.000000000 0.000000000
CP.Ord1 0.0088433020 0.0000000000 0.000000000 0.000000000 0.000000000
AT.Ord1 0.0000000000 0.0121442318 0.000000000 0.000000000 0.000000000
DC.Ord1 0.0001657767 0.0009960898 0.000000000 0.000000000 0.000000000
RCS.Ord1 0.0000000000 0.0065118309 0.000000000 0.000000000 0.000000000
HCR.Ord1 0.0000000000 0.0000000000 0.000000000 0.006357282 0.000000000
PS.Ord1 0.1311190858 0.1458374039 0.127204607 0.133053633 0.138764894
LP.Ord1 0.1380870960 0.1428633656 0.147137891 0.141886538 0.126988324
ES.Ord1 0.0000000000 0.1371197302 0.135193334 0.130106006 0.148352760
PRS.Ord1 0.1371197302 0.0000000000 0.134639627 0.130855793 0.128506385
SAS.Ord1 0.1351933340 0.1346396275 0.000000000 0.131971623 0.144244410
ILM.Ord1 0.1301060060 0.1308557934 0.131971623 0.000000000 0.144445874
ULR.Ord1 0.1483527599 0.1285063851 0.144244410 0.144445874 0.000000000
HSB.Ord1 0.1308173854 0.1424717943 0.158492788 0.149014668 0.136503310
ML.Ord1 0.0000000000 0.0059168275 0.000000000 0.000000000 0.000000000
EGW.Ord1 0.0073186649 0.0000000000 0.000000000 0.000000000 0.000000000
RSR.Ord1 0.0072143534 0.0028543121 0.000000000 0.011862351 0.000000000
KA.Ord1 0.0008292563 0.0020980896 0.001715399 0.000000000 0.000000000
SD.Ord1 0.0031896644 0.0000000000 0.007694258 0.001000311 0.000000000
FU.Ord1 0.0000000000 0.0000000000 0.000000000 0.013289342 0.000000000
CS.Ord1 0.0003973214 0.0000000000 0.003762615 0.000000000 0.002454215
CPS.Ord1 0.0063827363 0.0000000000 0.000000000 0.000000000 0.000000000
HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1
TOT.Ord1 0.000000000 0.003077204 0.0000000000 0.0000000000 0.0001436292
QS.Ord1 0.000000000 0.000866307 0.0015957774 0.0023848689 0.0000000000
AS.Ord1 0.001985430 0.003380653 0.0000000000 0.0000000000 0.0000000000
CP.Ord1 0.000000000 0.000000000 0.0078700244 0.0000000000 0.0000000000
AT.Ord1 0.001653549 0.000000000 0.0049241540 0.0000000000 0.0000000000
DC.Ord1 0.000000000 0.001748034 0.0000000000 0.0000000000 0.0054104460
RCS.Ord1 0.004749692 0.010054798 0.0000000000 0.0000000000 0.0000000000
HCR.Ord1 0.000000000 0.001121703 0.0000000000 0.0000000000 0.0000000000
PS.Ord1 0.138156292 0.000000000 0.0008035426 0.0006162183 0.0053541150
LP.Ord1 0.123922740 0.000000000 0.0000000000 0.0012543992 0.0000000000
ES.Ord1 0.130817385 0.000000000 0.0073186649 0.0072143534 0.0008292563
PRS.Ord1 0.142471794 0.005916828 0.0000000000 0.0028543121 0.0020980896
SAS.Ord1 0.158492788 0.000000000 0.0000000000 0.0000000000 0.0017153990
ILM.Ord1 0.149014668 0.000000000 0.0000000000 0.0118623506 0.0000000000
ULR.Ord1 0.136503310 0.000000000 0.0000000000 0.0000000000 0.0000000000
HSB.Ord1 0.000000000 0.000000000 0.0000000000 0.0000000000 0.0000000000
ML.Ord1 0.000000000 0.000000000 0.1305078388 0.1331600329 0.1340909163
EGW.Ord1 0.000000000 0.130507839 0.0000000000 0.1469584564 0.1333802128
RSR.Ord1 0.000000000 0.133160033 0.1469584564 0.0000000000 0.1432566841
KA.Ord1 0.000000000 0.134090916 0.1333802128 0.1432566841 0.0000000000
SD.Ord1 0.000000000 0.145079695 0.1258000850 0.1316495122 0.1444447466
FU.Ord1 0.000000000 0.157013055 0.1412587997 0.1341598053 0.1335565620
CS.Ord1 0.000000000 0.135849537 0.1379190039 0.1346880933 0.1293586589
CPS.Ord1 0.000000000 0.120245568 0.1540630889 0.1431738334 0.1381466425
SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.004420029 0.000000000 0.0000000000 0.0045693624
QS.Ord1 0.000000000 0.006064306 0.0006722667 0.0000000000
AS.Ord1 0.000000000 0.000000000 0.0000000000 0.0000000000
CP.Ord1 0.004837467 0.000879158 0.0000000000 0.0000000000
AT.Ord1 0.000000000 0.000000000 0.0000000000 0.0000000000
DC.Ord1 0.000000000 0.005599643 0.0000000000 0.0000000000
RCS.Ord1 0.004436946 0.000000000 0.0018094968 0.0000000000
HCR.Ord1 0.000000000 0.005266237 0.0000000000 0.0000000000
PS.Ord1 0.000000000 0.000000000 0.0073297229 0.0001232279
LP.Ord1 0.000000000 0.000000000 0.0000000000 0.0000000000
ES.Ord1 0.003189664 0.000000000 0.0003973214 0.0063827363
PRS.Ord1 0.000000000 0.000000000 0.0000000000 0.0000000000
SAS.Ord1 0.007694258 0.000000000 0.0037626152 0.0000000000
ILM.Ord1 0.001000311 0.013289342 0.0000000000 0.0000000000
ULR.Ord1 0.000000000 0.000000000 0.0024542150 0.0000000000
HSB.Ord1 0.000000000 0.000000000 0.0000000000 0.0000000000
ML.Ord1 0.145079695 0.157013055 0.1358495369 0.1202455680
EGW.Ord1 0.125800085 0.141258800 0.1379190039 0.1540630889
RSR.Ord1 0.131649512 0.134159805 0.1346880933 0.1431738334
KA.Ord1 0.144444747 0.133556562 0.1293586589 0.1381466425
SD.Ord1 0.000000000 0.129091925 0.1393867313 0.1452388485
FU.Ord1 0.129091925 0.000000000 0.1378756793 0.1323510492
CS.Ord1 0.139386731 0.137875679 0.0000000000 0.1506038780
CPS.Ord1 0.145238849 0.132351049 0.1506038780 0.0000000000
attr(,"methods")
attr(,"methods")$corr
[1] "pearson"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.09525524
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] -53582.86
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1 HCR.Ord1
1 1 1 1 1 1 1 1
PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1
2 2 2 2 2 2 2 2
ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
3 3 3 3 3 3 3 3
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "higher"
attr(,"methods")$consensus.method
[1] "most_common"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 3
$correlation
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1
TOT.Ord1 1.0000000 0.9463141 0.9483463 0.9439395 0.9461738 0.9487325 0.9453105
QS.Ord1 0.9463141 1.0000000 0.9455563 0.9454639 0.9455115 0.9495185 0.9443679
AS.Ord1 0.9483463 0.9455563 1.0000000 0.9471184 0.9463326 0.9494367 0.9441740
CP.Ord1 0.9439395 0.9454639 0.9471184 1.0000000 0.9433964 0.9484750 0.9440172
AT.Ord1 0.9461738 0.9455115 0.9463326 0.9433964 1.0000000 0.9509948 0.9456659
DC.Ord1 0.9487325 0.9495185 0.9494367 0.9484750 0.9509948 1.0000000 0.9458921
RCS.Ord1 0.9453105 0.9443679 0.9441740 0.9440172 0.9456659 0.9458921 1.0000000
HCR.Ord1 0.9481912 0.9476293 0.9522773 0.9459466 0.9474641 0.9472858 0.9452046
PS.Ord1 0.4681819 0.4628962 0.4749782 0.4642392 0.4705323 0.4652044 0.4695471
LP.Ord1 0.4769210 0.4721329 0.4769937 0.4721596 0.4758435 0.4694253 0.4783322
ES.Ord1 0.4729595 0.4723235 0.4784758 0.4761377 0.4753910 0.4717281 0.4780688
PRS.Ord1 0.4872834 0.4808769 0.4912450 0.4838893 0.4892896 0.4829043 0.4904475
SAS.Ord1 0.4644757 0.4592579 0.4656234 0.4625599 0.4636955 0.4609476 0.4691146
ILM.Ord1 0.4720534 0.4689021 0.4757655 0.4708111 0.4735284 0.4665249 0.4743786
ULR.Ord1 0.4639543 0.4657858 0.4694559 0.4653360 0.4693747 0.4625426 0.4679345
HSB.Ord1 0.4715510 0.4678655 0.4750273 0.4644182 0.4728477 0.4668737 0.4751187
ML.Ord1 0.4872363 0.4853138 0.4837881 0.4851883 0.4828603 0.4863248 0.4906377
EGW.Ord1 0.4832388 0.4825454 0.4780474 0.4850408 0.4809555 0.4799975 0.4861846
RSR.Ord1 0.4794605 0.4782241 0.4709439 0.4767099 0.4716097 0.4746133 0.4818841
KA.Ord1 0.4784074 0.4745056 0.4710521 0.4781809 0.4715439 0.4783114 0.4805951
SD.Ord1 0.4844089 0.4795213 0.4750077 0.4844821 0.4787335 0.4827620 0.4869193
FU.Ord1 0.4862297 0.4863183 0.4791099 0.4873135 0.4824889 0.4871273 0.4874700
CS.Ord1 0.4774878 0.4760752 0.4690347 0.4748726 0.4689958 0.4735350 0.4804112
CPS.Ord1 0.4789527 0.4763566 0.4735357 0.4749366 0.4710327 0.4755148 0.4795436
HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1
TOT.Ord1 0.9481912 0.4681819 0.4769210 0.4729595 0.4872834 0.4644757 0.4720534
QS.Ord1 0.9476293 0.4628962 0.4721329 0.4723235 0.4808769 0.4592579 0.4689021
AS.Ord1 0.9522773 0.4749782 0.4769937 0.4784758 0.4912450 0.4656234 0.4757655
CP.Ord1 0.9459466 0.4642392 0.4721596 0.4761377 0.4838893 0.4625599 0.4708111
AT.Ord1 0.9474641 0.4705323 0.4758435 0.4753910 0.4892896 0.4636955 0.4735284
DC.Ord1 0.9472858 0.4652044 0.4694253 0.4717281 0.4829043 0.4609476 0.4665249
RCS.Ord1 0.9452046 0.4695471 0.4783322 0.4780688 0.4904475 0.4691146 0.4743786
HCR.Ord1 1.0000000 0.4676281 0.4731328 0.4732895 0.4824951 0.4630405 0.4734830
PS.Ord1 0.4676281 1.0000000 0.9487233 0.9456395 0.9490255 0.9472147 0.9470066
LP.Ord1 0.4731328 0.9487233 1.0000000 0.9469711 0.9492148 0.9501886 0.9485425
ES.Ord1 0.4732895 0.9456395 0.9469711 1.0000000 0.9474840 0.9477438 0.9462487
PRS.Ord1 0.4824951 0.9490255 0.9492148 0.9474840 1.0000000 0.9491052 0.9477778
SAS.Ord1 0.4630405 0.9472147 0.9501886 0.9477438 0.9491052 1.0000000 0.9484950
ILM.Ord1 0.4734830 0.9470066 0.9485425 0.9462487 0.9477778 0.9484950 1.0000000
ULR.Ord1 0.4659338 0.9470164 0.9460700 0.9477596 0.9466667 0.9493591 0.9483518
HSB.Ord1 0.4695099 0.9483302 0.9471356 0.9468627 0.9499221 0.9525524 0.9503158
ML.Ord1 0.4833334 0.4999311 0.4934365 0.5061386 0.5061389 0.4970795 0.5086087
EGW.Ord1 0.4792953 0.5029373 0.4968440 0.5109960 0.5023133 0.5005826 0.5095692
RSR.Ord1 0.4757521 0.5098601 0.5048510 0.5178393 0.5132636 0.5089224 0.5187354
KA.Ord1 0.4705900 0.5023026 0.4928410 0.5088645 0.5050453 0.5010804 0.5081792
SD.Ord1 0.4781695 0.4998489 0.4952026 0.5120312 0.5049636 0.5047063 0.5120176
FU.Ord1 0.4841808 0.5055373 0.4979940 0.5118902 0.5070892 0.5052687 0.5155068
CS.Ord1 0.4704059 0.5048167 0.4982849 0.5110657 0.5038740 0.5036205 0.5104647
CPS.Ord1 0.4725503 0.5007964 0.4918023 0.5088060 0.5015151 0.4978388 0.5071334
ULR.Ord1 HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1
TOT.Ord1 0.4639543 0.4715510 0.4872363 0.4832388 0.4794605 0.4784074 0.4844089
QS.Ord1 0.4657858 0.4678655 0.4853138 0.4825454 0.4782241 0.4745056 0.4795213
AS.Ord1 0.4694559 0.4750273 0.4837881 0.4780474 0.4709439 0.4710521 0.4750077
CP.Ord1 0.4653360 0.4644182 0.4851883 0.4850408 0.4767099 0.4781809 0.4844821
AT.Ord1 0.4693747 0.4728477 0.4828603 0.4809555 0.4716097 0.4715439 0.4787335
DC.Ord1 0.4625426 0.4668737 0.4863248 0.4799975 0.4746133 0.4783114 0.4827620
RCS.Ord1 0.4679345 0.4751187 0.4906377 0.4861846 0.4818841 0.4805951 0.4869193
HCR.Ord1 0.4659338 0.4695099 0.4833334 0.4792953 0.4757521 0.4705900 0.4781695
PS.Ord1 0.9470164 0.9483302 0.4999311 0.5029373 0.5098601 0.5023026 0.4998489
LP.Ord1 0.9460700 0.9471356 0.4934365 0.4968440 0.5048510 0.4928410 0.4952026
ES.Ord1 0.9477596 0.9468627 0.5061386 0.5109960 0.5178393 0.5088645 0.5120312
PRS.Ord1 0.9466667 0.9499221 0.5061389 0.5023133 0.5132636 0.5050453 0.5049636
SAS.Ord1 0.9493591 0.9525524 0.4970795 0.5005826 0.5089224 0.5010804 0.5047063
ILM.Ord1 0.9483518 0.9503158 0.5086087 0.5095692 0.5187354 0.5081792 0.5120176
ULR.Ord1 1.0000000 0.9482139 0.4899916 0.4939190 0.5027519 0.4922020 0.4958082
HSB.Ord1 0.9482139 1.0000000 0.4851742 0.4909238 0.4996215 0.4911695 0.4907474
ML.Ord1 0.4899916 0.4851742 1.0000000 0.9451670 0.9453476 0.9437479 0.9461994
EGW.Ord1 0.4939190 0.4909238 0.9451670 1.0000000 0.9486770 0.9451202 0.9451339
RSR.Ord1 0.5027519 0.4996215 0.9453476 0.9486770 1.0000000 0.9463231 0.9457834
KA.Ord1 0.4922020 0.4911695 0.9437479 0.9451202 0.9463231 1.0000000 0.9456874
SD.Ord1 0.4958082 0.4907474 0.9461994 0.9451339 0.9457834 0.9456874 1.0000000
FU.Ord1 0.4975635 0.4927409 0.9485979 0.9479397 0.9469219 0.9450104 0.9454766
CS.Ord1 0.4975661 0.4930499 0.9450789 0.9468736 0.9463704 0.9438664 0.9461497
CPS.Ord1 0.4924051 0.4896158 0.9447238 0.9506175 0.9491093 0.9466814 0.9485271
FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.4862297 0.4774878 0.4789527
QS.Ord1 0.4863183 0.4760752 0.4763566
AS.Ord1 0.4791099 0.4690347 0.4735357
CP.Ord1 0.4873135 0.4748726 0.4749366
AT.Ord1 0.4824889 0.4689958 0.4710327
DC.Ord1 0.4871273 0.4735350 0.4755148
RCS.Ord1 0.4874700 0.4804112 0.4795436
HCR.Ord1 0.4841808 0.4704059 0.4725503
PS.Ord1 0.5055373 0.5048167 0.5007964
LP.Ord1 0.4979940 0.4982849 0.4918023
ES.Ord1 0.5118902 0.5110657 0.5088060
PRS.Ord1 0.5070892 0.5038740 0.5015151
SAS.Ord1 0.5052687 0.5036205 0.4978388
ILM.Ord1 0.5155068 0.5104647 0.5071334
ULR.Ord1 0.4975635 0.4975661 0.4924051
HSB.Ord1 0.4927409 0.4930499 0.4896158
ML.Ord1 0.9485979 0.9450789 0.9447238
EGW.Ord1 0.9479397 0.9468736 0.9506175
RSR.Ord1 0.9469219 0.9463704 0.9491093
KA.Ord1 0.9450104 0.9438664 0.9466814
SD.Ord1 0.9454766 0.9461497 0.9485271
FU.Ord1 1.0000000 0.9467050 0.9476166
CS.Ord1 0.9467050 1.0000000 0.9494404
CPS.Ord1 0.9476166 0.9494404 1.0000000
$n
[1] 2300
$dim.variables
items dimension
1 TOT.Ord1 1
2 QS.Ord1 1
3 AS.Ord1 1
4 CP.Ord1 1
5 AT.Ord1 1
6 DC.Ord1 1
7 RCS.Ord1 1
8 HCR.Ord1 1
9 PS.Ord1 2
10 LP.Ord1 2
11 ES.Ord1 2
12 PRS.Ord1 2
13 SAS.Ord1 2
14 ILM.Ord1 2
15 ULR.Ord1 2
16 HSB.Ord1 2
17 ML.Ord1 3
18 EGW.Ord1 3
19 RSR.Ord1 3
20 KA.Ord1 3
21 SD.Ord1 3
22 FU.Ord1 3
23 CS.Ord1 3
24 CPS.Ord1 3
$TEFI
[1] -27.93005
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULL
Output 10 and Figure 8 show the extraction of the dynamic EGA results at the group level. For Group 1, with Pearson correlations and a regularization parameter (lambda) of approximately 0.095, the analysis includes 24 variables (nodes) and 153 edges, resulting in an edge density of 0.554. The non-zero edge weights have a mean of 0.078, a standard deviation of 0.031, and a range from 0.000 to 0.111. Community detection via the Louvain algorithm identified two distinct communities: the first community includes variables TOT.Ord1 through PRS.Ord1, while the second community comprises variables SAS.Ord1 through CPS.Ord1. The TEFI value of group 1 network structure is -28.646.
For Group 2, the analysis similarly uses Pearson correlations and a lambda of approximately 0.095, encompassing 24 nodes and 145 edges with an edge density of 0.525. The non-zero edge weights in this group have a mean of 0.082, a standard deviation of 0.067, and range from 0.000 to 0.167. The Louvain algorithm identified three communities: the first community includes variables TOT.Ord1 through RCS.Ord1, the second community consists of variables PS.Ord1 through CPS.Ord1, and the third community contains variables ML.Ord1 through CPS.Ord1. The TEFI value of group 1 network structure is -27.93.
Overall, the dynEGA results for both groups reveal multidimensional network structures. Group 1 exhibits a slightly higher edge density, while Group 2 shows greater variability in edge weights and a slightly higher TEFI. This suggests that the three-dimensional structure of Group 2 may have a somewhat less stable network structure compared to the two-dimensional structure of Group 1.
Output 11. Individual-Level Dynamic EGA Output of the Simulated Data: Case 1
#Individual whose network has two communities
simulated_all$dynEGA$individual$"1"$network
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1
TOT.Ord1 0.00000000 0.00000000 0.05484376 0.08573765 0.06689251 0.17293042
QS.Ord1 0.00000000 0.00000000 0.05978094 0.14532528 0.08678134 0.03801642
AS.Ord1 0.05484376 0.05978094 0.00000000 0.04560669 0.08956778 0.02786825
CP.Ord1 0.08573765 0.14532528 0.04560669 0.00000000 0.11544847 0.00000000
AT.Ord1 0.06689251 0.08678134 0.08956778 0.11544847 0.00000000 0.07136699
DC.Ord1 0.17293042 0.03801642 0.02786825 0.00000000 0.07136699 0.00000000
RCS.Ord1 0.13122056 0.10580141 0.00000000 0.19094004 0.13864922 0.09468887
HCR.Ord1 0.14869370 0.16702123 0.08332066 0.12625881 0.04355871 0.15040525
PS.Ord1 0.05046987 0.07645617 0.15559151 0.00000000 0.12147442 0.05994179
LP.Ord1 0.05350708 0.11908652 0.16058210 0.06426690 0.09607923 0.12420076
ES.Ord1 0.01438485 0.07807470 0.21422267 0.09157878 0.12121899 0.18096712
PRS.Ord1 0.17107973 0.08512990 0.08506975 0.11471240 0.14517580 0.03181262
SAS.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
ILM.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
ULR.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
HSB.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
ML.Ord1 0.00000000 0.00000000 0.01424027 0.00000000 0.00000000 0.00000000
EGW.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
RSR.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
KA.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
SD.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
FU.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
CS.Ord1 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000
CPS.Ord1 0.00000000 0.00000000 0.03471190 0.00000000 0.00000000 0.00000000
RCS.Ord1 HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1
TOT.Ord1 0.131220562 0.1486936985 5.046987e-02 0.05350708 0.014384854
QS.Ord1 0.105801408 0.1670212323 7.645617e-02 0.11908652 0.078074699
AS.Ord1 0.000000000 0.0833206637 1.555915e-01 0.16058210 0.214222669
CP.Ord1 0.190940041 0.1262588054 0.000000e+00 0.06426690 0.091578784
AT.Ord1 0.138649220 0.0435587097 1.214744e-01 0.09607923 0.121218990
DC.Ord1 0.094688874 0.1504052510 5.994179e-02 0.12420076 0.180967116
RCS.Ord1 0.000000000 0.0000000000 5.230598e-03 0.06298062 0.080343012
HCR.Ord1 0.000000000 0.0000000000 3.052581e-02 0.13588493 0.000000000
PS.Ord1 0.005230598 0.0305258107 0.000000e+00 0.15164071 0.104781419
LP.Ord1 0.062980622 0.1358849332 1.516407e-01 0.00000000 0.052707842
ES.Ord1 0.080343012 0.0000000000 1.047814e-01 0.05270784 0.000000000
PRS.Ord1 0.103693016 0.0881037916 1.404894e-01 0.06237728 0.009293344
SAS.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
ILM.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
ULR.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
HSB.Ord1 0.000000000 -0.0006937135 0.000000e+00 0.00000000 0.000000000
ML.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
EGW.Ord1 0.000000000 0.0000000000 7.764877e-03 0.00000000 0.000000000
RSR.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
KA.Ord1 0.002057269 0.0000000000 0.000000e+00 0.00000000 0.000000000
SD.Ord1 0.000000000 0.0000000000 6.712686e-03 0.00000000 0.000000000
FU.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
CS.Ord1 0.000000000 0.0000000000 0.000000e+00 0.00000000 0.000000000
CPS.Ord1 0.000000000 0.0000000000 3.811018e-05 0.00000000 0.000000000
PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1 ML.Ord1
TOT.Ord1 0.171079734 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
QS.Ord1 0.085129898 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
AS.Ord1 0.085069753 0.00000000 0.00000000 0.00000000 0.0000000000 0.01424027
CP.Ord1 0.114712396 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
AT.Ord1 0.145175799 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
DC.Ord1 0.031812623 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
RCS.Ord1 0.103693016 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
HCR.Ord1 0.088103792 0.00000000 0.00000000 0.00000000 -0.0006937135 0.00000000
PS.Ord1 0.140489351 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
LP.Ord1 0.062377282 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
ES.Ord1 0.009293344 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
PRS.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.0000000000 0.00000000
SAS.Ord1 0.000000000 0.00000000 0.08948787 0.08023844 0.2089006711 0.00000000
ILM.Ord1 0.000000000 0.08948787 0.00000000 0.05800301 0.0000000000 0.06607889
ULR.Ord1 0.000000000 0.08023844 0.05800301 0.00000000 0.1165001126 0.01599178
HSB.Ord1 0.000000000 0.20890067 0.00000000 0.11650011 0.0000000000 0.12744182
ML.Ord1 0.000000000 0.00000000 0.06607889 0.01599178 0.1274418200 0.00000000
EGW.Ord1 0.000000000 0.06827451 0.26164522 0.01649849 0.0000000000 0.09095600
RSR.Ord1 0.000000000 0.11061954 0.05824419 0.13617736 0.0474248485 0.05043155
KA.Ord1 0.000000000 0.08918171 0.19162899 0.04887700 0.0639846121 0.19267438
SD.Ord1 0.000000000 0.14000236 0.12556030 0.12268839 0.0754708704 0.11367904
FU.Ord1 0.000000000 0.04388837 0.00000000 0.15846033 0.1055867453 0.16450918
CS.Ord1 0.000000000 0.10873403 0.04708910 0.07649400 0.0653433034 0.04912464
CPS.Ord1 0.001573285 0.08036513 0.05444325 0.14842927 0.1326582235 0.13763057
EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1
TOT.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
QS.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
AS.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
CP.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
AT.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
DC.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
RCS.Ord1 0.000000000 0.00000000 0.002057269 0.000000000 0.00000000 0.00000000
HCR.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
PS.Ord1 0.007764877 0.00000000 0.000000000 0.006712686 0.00000000 0.00000000
LP.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
ES.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
PRS.Ord1 0.000000000 0.00000000 0.000000000 0.000000000 0.00000000 0.00000000
SAS.Ord1 0.068274509 0.11061954 0.089181712 0.140002361 0.04388837 0.10873403
ILM.Ord1 0.261645217 0.05824419 0.191628988 0.125560301 0.00000000 0.04708910
ULR.Ord1 0.016498486 0.13617736 0.048877000 0.122688391 0.15846033 0.07649400
HSB.Ord1 0.000000000 0.04742485 0.063984612 0.075470870 0.10558675 0.06534330
ML.Ord1 0.090956001 0.05043155 0.192674380 0.113679043 0.16450918 0.04912464
EGW.Ord1 0.000000000 0.12235638 0.000000000 0.131664406 0.05521886 0.08821113
RSR.Ord1 0.122356376 0.00000000 0.045612792 0.027819355 0.19138489 0.20530831
KA.Ord1 0.000000000 0.04561279 0.000000000 0.205944515 0.00000000 0.02051357
SD.Ord1 0.131664406 0.02781936 0.205944515 0.000000000 0.02838257 0.00000000
FU.Ord1 0.055218857 0.19138489 0.000000000 0.028382568 0.00000000 0.13218337
CS.Ord1 0.088211133 0.20530831 0.020513571 0.000000000 0.13218337 0.00000000
CPS.Ord1 0.095442766 0.04883369 0.071044378 0.057846139 0.07422487 0.15106241
CPS.Ord1
TOT.Ord1 0.000000e+00
QS.Ord1 0.000000e+00
AS.Ord1 3.471190e-02
CP.Ord1 0.000000e+00
AT.Ord1 0.000000e+00
DC.Ord1 0.000000e+00
RCS.Ord1 0.000000e+00
HCR.Ord1 0.000000e+00
PS.Ord1 3.811018e-05
LP.Ord1 0.000000e+00
ES.Ord1 0.000000e+00
PRS.Ord1 1.573285e-03
SAS.Ord1 8.036513e-02
ILM.Ord1 5.444325e-02
ULR.Ord1 1.484293e-01
HSB.Ord1 1.326582e-01
ML.Ord1 1.376306e-01
EGW.Ord1 9.544277e-02
RSR.Ord1 4.883369e-02
KA.Ord1 7.104438e-02
SD.Ord1 5.784614e-02
FU.Ord1 7.422487e-02
CS.Ord1 1.510624e-01
CPS.Ord1 0.000000e+00
attr(,"methods")
attr(,"methods")$corr
[1] "pearson"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.09816427
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] 6.057021
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1 HCR.Ord1
1 1 1 1 1 1 1 1
PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1
1 1 1 1 2 2 2 2
ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
2 2 2 2 2 2 2 2
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "higher"
attr(,"methods")$consensus.method
[1] "most_common"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 2
$correlation
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1
TOT.Ord1 1.0000000 0.9348826 0.9458140 0.9523501 0.9616065 0.9596675 0.9510872
QS.Ord1 0.9348826 1.0000000 0.9527396 0.9642098 0.9675718 0.9435921 0.9499505
AS.Ord1 0.9458140 0.9527396 1.0000000 0.9494082 0.9700636 0.9464448 0.9259001
CP.Ord1 0.9523501 0.9642098 0.9494082 1.0000000 0.9720739 0.9343471 0.9642950
AT.Ord1 0.9616065 0.9675718 0.9700636 0.9720739 1.0000000 0.9611425 0.9672555
DC.Ord1 0.9596675 0.9435921 0.9464448 0.9343471 0.9611425 1.0000000 0.9440539
RCS.Ord1 0.9510872 0.9499505 0.9259001 0.9642950 0.9672555 0.9440539 1.0000000
HCR.Ord1 0.9605852 0.9650092 0.9544751 0.9601578 0.9617001 0.9594156 0.9370345
PS.Ord1 0.9378448 0.9454666 0.9628609 0.9327894 0.9653187 0.9403390 0.9270958
LP.Ord1 0.9582498 0.9700043 0.9774098 0.9626849 0.9798985 0.9665062 0.9535237
ES.Ord1 0.9357683 0.9479258 0.9696237 0.9490065 0.9675862 0.9580375 0.9411732
PRS.Ord1 0.9694829 0.9613922 0.9622038 0.9667469 0.9816427 0.9507229 0.9579622
SAS.Ord1 0.3381009 0.3139411 0.3990609 0.3041836 0.3448378 0.3162680 0.3690355
ILM.Ord1 0.3462116 0.3104043 0.4214575 0.3054876 0.3593216 0.3410657 0.3811848
ULR.Ord1 0.2737797 0.2717914 0.3696981 0.2530566 0.3008264 0.2651817 0.3062869
HSB.Ord1 0.2881239 0.2479342 0.3632492 0.2486317 0.2893635 0.2502634 0.3062606
ML.Ord1 0.3735635 0.3177443 0.4456796 0.3318532 0.3777487 0.3339190 0.3819293
EGW.Ord1 0.3539854 0.3069027 0.4287183 0.3100998 0.3656968 0.3320758 0.3694805
RSR.Ord1 0.3167918 0.2838490 0.3943541 0.2809676 0.3269066 0.3058381 0.3414558
KA.Ord1 0.3418575 0.3173903 0.4251523 0.3198789 0.3679359 0.3273680 0.3878629
SD.Ord1 0.3626506 0.3349417 0.4323024 0.3367886 0.3835965 0.3417097 0.3930944
FU.Ord1 0.3298345 0.2961514 0.4188454 0.2911833 0.3357940 0.3124716 0.3258473
CS.Ord1 0.3077426 0.2847526 0.3843166 0.2677989 0.3208132 0.2972272 0.3399925
CPS.Ord1 0.3768532 0.3580531 0.4631303 0.3466899 0.3989513 0.3490442 0.4079066
HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1
TOT.Ord1 0.9605852 0.9378448 0.9582498 0.9357683 0.9694829 0.3381009 0.3462116
QS.Ord1 0.9650092 0.9454666 0.9700043 0.9479258 0.9613922 0.3139411 0.3104043
AS.Ord1 0.9544751 0.9628609 0.9774098 0.9696237 0.9622038 0.3990609 0.4214575
CP.Ord1 0.9601578 0.9327894 0.9626849 0.9490065 0.9667469 0.3041836 0.3054876
AT.Ord1 0.9617001 0.9653187 0.9798985 0.9675862 0.9816427 0.3448378 0.3593216
DC.Ord1 0.9594156 0.9403390 0.9665062 0.9580375 0.9507229 0.3162680 0.3410657
RCS.Ord1 0.9370345 0.9270958 0.9535237 0.9411732 0.9579622 0.3690355 0.3811848
HCR.Ord1 1.0000000 0.9402557 0.9726948 0.9378041 0.9627138 0.2515245 0.2570173
PS.Ord1 0.9402557 1.0000000 0.9685482 0.9481972 0.9612331 0.3829860 0.4011137
LP.Ord1 0.9726948 0.9685482 1.0000000 0.9594780 0.9707478 0.3736103 0.3740344
ES.Ord1 0.9378041 0.9481972 0.9594780 1.0000000 0.9467263 0.3362713 0.3715237
PRS.Ord1 0.9627138 0.9612331 0.9707478 0.9467263 1.0000000 0.3710120 0.3735400
SAS.Ord1 0.2515245 0.3829860 0.3736103 0.3362713 0.3710120 1.0000000 0.9535609
ILM.Ord1 0.2570173 0.4011137 0.3740344 0.3715237 0.3735400 0.9535609 1.0000000
ULR.Ord1 0.1967053 0.3349681 0.3266266 0.3082931 0.3289392 0.9626615 0.9433975
HSB.Ord1 0.1942979 0.3194444 0.3163320 0.2890189 0.3255141 0.9731735 0.9289195
ML.Ord1 0.2744235 0.4159749 0.3920001 0.3714819 0.4044097 0.9501389 0.9508078
EGW.Ord1 0.2685737 0.4096771 0.3874622 0.3551615 0.3866973 0.9510508 0.9694754
RSR.Ord1 0.2294377 0.3636931 0.3647522 0.3304525 0.3405658 0.9683080 0.9489569
KA.Ord1 0.2412155 0.4025582 0.3704435 0.3814660 0.3671834 0.9540014 0.9596135
SD.Ord1 0.2663431 0.4120932 0.3929402 0.3769454 0.4017704 0.9709521 0.9635392
FU.Ord1 0.2561350 0.3787032 0.3789482 0.3312430 0.3634149 0.9519960 0.9209657
CS.Ord1 0.2281200 0.3604535 0.3481147 0.3125081 0.3439644 0.9597996 0.9375823
CPS.Ord1 0.2956387 0.4329777 0.4167733 0.3962570 0.4247960 0.9692549 0.9530065
ULR.Ord1 HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1
TOT.Ord1 0.2737797 0.2881239 0.3735635 0.3539854 0.3167918 0.3418575 0.3626506
QS.Ord1 0.2717914 0.2479342 0.3177443 0.3069027 0.2838490 0.3173903 0.3349417
AS.Ord1 0.3696981 0.3632492 0.4456796 0.4287183 0.3943541 0.4251523 0.4323024
CP.Ord1 0.2530566 0.2486317 0.3318532 0.3100998 0.2809676 0.3198789 0.3367886
AT.Ord1 0.3008264 0.2893635 0.3777487 0.3656968 0.3269066 0.3679359 0.3835965
DC.Ord1 0.2651817 0.2502634 0.3339190 0.3320758 0.3058381 0.3273680 0.3417097
RCS.Ord1 0.3062869 0.3062606 0.3819293 0.3694805 0.3414558 0.3878629 0.3930944
HCR.Ord1 0.1967053 0.1942979 0.2744235 0.2685737 0.2294377 0.2412155 0.2663431
PS.Ord1 0.3349681 0.3194444 0.4159749 0.4096771 0.3636931 0.4025582 0.4120932
LP.Ord1 0.3266266 0.3163320 0.3920001 0.3874622 0.3647522 0.3704435 0.3929402
ES.Ord1 0.3082931 0.2890189 0.3714819 0.3551615 0.3304525 0.3814660 0.3769454
PRS.Ord1 0.3289392 0.3255141 0.4044097 0.3866973 0.3405658 0.3671834 0.4017704
SAS.Ord1 0.9626615 0.9731735 0.9501389 0.9510508 0.9683080 0.9540014 0.9709521
ILM.Ord1 0.9433975 0.9289195 0.9508078 0.9694754 0.9489569 0.9596135 0.9635392
ULR.Ord1 1.0000000 0.9602629 0.9523213 0.9408483 0.9702237 0.9437869 0.9634990
HSB.Ord1 0.9602629 1.0000000 0.9608319 0.9298888 0.9542947 0.9431331 0.9556750
ML.Ord1 0.9523213 0.9608319 1.0000000 0.9522080 0.9586927 0.9668883 0.9676558
EGW.Ord1 0.9408483 0.9298888 0.9522080 1.0000000 0.9586243 0.9321943 0.9598625
RSR.Ord1 0.9702237 0.9542947 0.9586927 0.9586243 1.0000000 0.9442944 0.9557031
KA.Ord1 0.9437869 0.9431331 0.9668883 0.9321943 0.9442944 1.0000000 0.9724502
SD.Ord1 0.9634990 0.9556750 0.9676558 0.9598625 0.9557031 0.9724502 1.0000000
FU.Ord1 0.9655926 0.9544449 0.9641631 0.9402130 0.9744654 0.9256217 0.9460665
CS.Ord1 0.9555186 0.9482273 0.9496250 0.9461678 0.9759859 0.9320794 0.9299711
CPS.Ord1 0.9740106 0.9690496 0.9742363 0.9581750 0.9675940 0.9553685 0.9656007
FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.3298345 0.3077426 0.3768532
QS.Ord1 0.2961514 0.2847526 0.3580531
AS.Ord1 0.4188454 0.3843166 0.4631303
CP.Ord1 0.2911833 0.2677989 0.3466899
AT.Ord1 0.3357940 0.3208132 0.3989513
DC.Ord1 0.3124716 0.2972272 0.3490442
RCS.Ord1 0.3258473 0.3399925 0.4079066
HCR.Ord1 0.2561350 0.2281200 0.2956387
PS.Ord1 0.3787032 0.3604535 0.4329777
LP.Ord1 0.3789482 0.3481147 0.4167733
ES.Ord1 0.3312430 0.3125081 0.3962570
PRS.Ord1 0.3634149 0.3439644 0.4247960
SAS.Ord1 0.9519960 0.9597996 0.9692549
ILM.Ord1 0.9209657 0.9375823 0.9530065
ULR.Ord1 0.9655926 0.9555186 0.9740106
HSB.Ord1 0.9544449 0.9482273 0.9690496
ML.Ord1 0.9641631 0.9496250 0.9742363
EGW.Ord1 0.9402130 0.9461678 0.9581750
RSR.Ord1 0.9744654 0.9759859 0.9675940
KA.Ord1 0.9256217 0.9320794 0.9553685
SD.Ord1 0.9460665 0.9299711 0.9656007
FU.Ord1 1.0000000 0.9599177 0.9627874
CS.Ord1 0.9599177 1.0000000 0.9698361
CPS.Ord1 0.9627874 0.9698361 1.0000000
$n
[1] 46
$dim.variables
items dimension
1 TOT.Ord1 1
2 QS.Ord1 1
3 AS.Ord1 1
4 CP.Ord1 1
5 AT.Ord1 1
6 DC.Ord1 1
7 RCS.Ord1 1
8 HCR.Ord1 1
9 PS.Ord1 1
10 LP.Ord1 1
11 ES.Ord1 1
12 PRS.Ord1 1
13 SAS.Ord1 2
14 ILM.Ord1 2
15 ULR.Ord1 2
16 HSB.Ord1 2
17 ML.Ord1 2
18 EGW.Ord1 2
19 RSR.Ord1 2
20 KA.Ord1 2
21 SD.Ord1 2
22 FU.Ord1 2
23 CS.Ord1 2
24 CPS.Ord1 2
$TEFI
[1] -30.63711
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULL
Output 11 and Figure 9 show the extraction of the dynamic EGA results at the individual -level, specifically for individual number 1 in the dataset. The analysis employs a regularization parameter (lambda) of approximately 0.098. The network consists of 24 variables (nodes) and 127 edges, resulting in an edge density of 0.460. The non-zero edge weights have a mean of 0.093, a standard deviation of 0.055, and a range from -0.001 to 0.262. Community detection using the Louvain algorithm identified two distinct communities. The first community includes variables TOT.Ord1 through PRS.Ord1, while the second community comprises variables SAS.Ord1 through CPS.Ord1. The two communities network of individual 1 has the TEFI value of -30.637.
Output 12. Individual-Level Dynamic EGA Output of the Simulated Data: Case 75
#Individual whose network has three communities
simulated_all$dynEGA$individual$"75"$network
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1
TOT.Ord1 0.00000000 0.147387297 0.120373061 0.199611240 0.19951167 0.00000000
QS.Ord1 0.14738730 0.000000000 0.177464661 0.216370724 0.06543261 0.03725056
AS.Ord1 0.12037306 0.177464661 0.000000000 0.014168813 0.07698419 0.18609355
CP.Ord1 0.19961124 0.216370724 0.014168813 0.000000000 0.11985592 0.25567449
AT.Ord1 0.19951167 0.065432614 0.076984192 0.119855922 0.00000000 0.21506280
DC.Ord1 0.00000000 0.037250565 0.186093547 0.255674485 0.21506280 0.00000000
RCS.Ord1 0.14192957 0.239011283 0.172162532 0.079828164 0.17808967 0.11822598
HCR.Ord1 0.01037285 0.165127382 0.101321400 0.058378193 0.20589940 0.11159164
PS.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
LP.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
ES.Ord1 0.00000000 0.000000000 0.008900599 0.017237924 0.00000000 0.00000000
PRS.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
SAS.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
ILM.Ord1 0.01538654 0.005483318 0.000000000 0.001603826 0.00000000 0.00000000
ULR.Ord1 0.00000000 0.000000000 0.000000000 0.057256350 0.00000000 0.00000000
HSB.Ord1 0.00000000 0.000000000 0.053521035 0.003781306 0.00000000 0.02088908
ML.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
EGW.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
RSR.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
KA.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
SD.Ord1 0.00000000 0.000000000 0.000000000 0.003641284 0.00000000 0.00000000
FU.Ord1 0.00000000 0.057986023 0.000000000 0.000000000 0.00000000 0.00000000
CS.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
CPS.Ord1 0.00000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
RCS.Ord1 HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1
TOT.Ord1 0.141929572 0.01037285 0.00000000 0.00000000 0.000000000 0.000000000
QS.Ord1 0.239011283 0.16512738 0.00000000 0.00000000 0.000000000 0.000000000
AS.Ord1 0.172162532 0.10132140 0.00000000 0.00000000 0.008900599 0.000000000
CP.Ord1 0.079828164 0.05837819 0.00000000 0.00000000 0.017237924 0.000000000
AT.Ord1 0.178089665 0.20589940 0.00000000 0.00000000 0.000000000 0.000000000
DC.Ord1 0.118225984 0.11159164 0.00000000 0.00000000 0.000000000 0.000000000
RCS.Ord1 0.000000000 0.15307556 0.00000000 0.00000000 0.000000000 0.000000000
HCR.Ord1 0.153075560 0.00000000 0.00000000 -0.02443798 0.000000000 0.000000000
PS.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.184919477 0.080363191
LP.Ord1 0.000000000 -0.02443798 0.00000000 0.00000000 0.171123026 0.236031189
ES.Ord1 0.000000000 0.00000000 0.18491948 0.17112303 0.000000000 0.004461223
PRS.Ord1 0.000000000 0.00000000 0.08036319 0.23603119 0.004461223 0.000000000
SAS.Ord1 0.000000000 -0.01779156 0.14231416 0.25751777 0.177955172 0.192261063
ILM.Ord1 0.000000000 0.00000000 0.23004139 0.18474654 0.144182397 0.072457083
ULR.Ord1 0.000000000 0.00000000 0.17373123 0.05172822 0.182430579 0.098897276
HSB.Ord1 0.005217303 0.00000000 0.15933575 0.05245849 0.111128738 0.254355053
ML.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
EGW.Ord1 0.000000000 0.02842413 0.00000000 0.00000000 0.000000000 0.000000000
RSR.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
KA.Ord1 0.000000000 0.00000000 0.04689509 0.00000000 0.044422869 0.000000000
SD.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
FU.Ord1 0.000000000 0.03145227 0.00000000 0.00000000 0.000000000 0.000000000
CS.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000 0.000000000
CPS.Ord1 0.000000000 0.00000000 0.00000000 0.00000000 0.000000000 0.014828670
SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1 ML.Ord1 EGW.Ord1
TOT.Ord1 0.00000000 0.015386542 0.00000000 0.000000000 0.00000000 0.00000000
QS.Ord1 0.00000000 0.005483318 0.00000000 0.000000000 0.00000000 0.00000000
AS.Ord1 0.00000000 0.000000000 0.00000000 0.053521035 0.00000000 0.00000000
CP.Ord1 0.00000000 0.001603826 0.05725635 0.003781306 0.00000000 0.00000000
AT.Ord1 0.00000000 0.000000000 0.00000000 0.000000000 0.00000000 0.00000000
DC.Ord1 0.00000000 0.000000000 0.00000000 0.020889084 0.00000000 0.00000000
RCS.Ord1 0.00000000 0.000000000 0.00000000 0.005217303 0.00000000 0.00000000
HCR.Ord1 -0.01779156 0.000000000 0.00000000 0.000000000 0.00000000 0.02842413
PS.Ord1 0.14231416 0.230041392 0.17373123 0.159335747 0.00000000 0.00000000
LP.Ord1 0.25751777 0.184746536 0.05172822 0.052458487 0.00000000 0.00000000
ES.Ord1 0.17795517 0.144182397 0.18243058 0.111128738 0.00000000 0.00000000
PRS.Ord1 0.19226106 0.072457083 0.09889728 0.254355053 0.00000000 0.00000000
SAS.Ord1 0.00000000 0.048664238 0.11000862 0.122075540 0.00000000 0.00000000
ILM.Ord1 0.04866424 0.000000000 0.05535232 0.102905044 0.03305508 0.00000000
ULR.Ord1 0.11000862 0.055352319 0.00000000 0.172483822 0.00000000 0.00000000
HSB.Ord1 0.12207554 0.102905044 0.17248382 0.000000000 0.00000000 0.00000000
ML.Ord1 0.00000000 0.033055078 0.00000000 0.000000000 0.00000000 0.13223948
EGW.Ord1 0.00000000 0.000000000 0.00000000 0.000000000 0.13223948 0.00000000
RSR.Ord1 0.00000000 0.037197182 0.00000000 0.000000000 0.15858511 0.16719125
KA.Ord1 0.00000000 0.018235491 0.00000000 0.000000000 0.09892178 0.13184158
SD.Ord1 0.00000000 0.000000000 0.00000000 0.000000000 0.18655482 0.14122801
FU.Ord1 0.00000000 0.000000000 0.00000000 0.000000000 0.17647828 0.13364627
CS.Ord1 0.00000000 0.000000000 0.00000000 0.000000000 0.04130195 0.08295491
CPS.Ord1 0.00000000 0.017134542 0.00000000 0.000000000 0.17406340 0.13142769
RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
QS.Ord1 0.00000000 0.00000000 0.000000000 0.05798602 0.00000000 0.00000000
AS.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
CP.Ord1 0.00000000 0.00000000 0.003641284 0.00000000 0.00000000 0.00000000
AT.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
DC.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
RCS.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
HCR.Ord1 0.00000000 0.00000000 0.000000000 0.03145227 0.00000000 0.00000000
PS.Ord1 0.00000000 0.04689509 0.000000000 0.00000000 0.00000000 0.00000000
LP.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
ES.Ord1 0.00000000 0.04442287 0.000000000 0.00000000 0.00000000 0.00000000
PRS.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.01482867
SAS.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
ILM.Ord1 0.03719718 0.01823549 0.000000000 0.00000000 0.00000000 0.01713454
ULR.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
HSB.Ord1 0.00000000 0.00000000 0.000000000 0.00000000 0.00000000 0.00000000
ML.Ord1 0.15858511 0.09892178 0.186554821 0.17647828 0.04130195 0.17406340
EGW.Ord1 0.16719125 0.13184158 0.141228011 0.13364627 0.08295491 0.13142769
RSR.Ord1 0.00000000 0.16200962 0.216879633 0.04272782 0.13768773 0.16000314
KA.Ord1 0.16200962 0.00000000 0.000000000 0.23016715 0.10907947 0.13766694
SD.Ord1 0.21687963 0.00000000 0.000000000 0.01983473 0.18444559 0.15186961
FU.Ord1 0.04272782 0.23016715 0.019834731 0.00000000 0.19021198 0.13768859
CS.Ord1 0.13768773 0.10907947 0.184445593 0.19021198 0.00000000 0.14450361
CPS.Ord1 0.16000314 0.13766694 0.151869605 0.13768859 0.14450361 0.00000000
attr(,"methods")
attr(,"methods")$corr
[1] "pearson"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.0966757
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] 91.51358
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wc
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1 HCR.Ord1
1 1 1 1 1 1 1 1
PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1 ULR.Ord1 HSB.Ord1
2 2 2 2 2 2 2 2
ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1 FU.Ord1 CS.Ord1 CPS.Ord1
3 3 3 3 3 3 3 3
attr(,"methods")
attr(,"methods")$algorithm
[1] "Louvain"
attr(,"methods")$order
[1] "higher"
attr(,"methods")$consensus.method
[1] "most_common"
attr(,"methods")$consensus.iter
[1] 1000
attr(,"class")
[1] "EGA.consensus"
$n.dim
[1] 3
$correlation
TOT.Ord1 QS.Ord1 AS.Ord1 CP.Ord1 AT.Ord1 DC.Ord1 RCS.Ord1
TOT.Ord1 1.0000000 0.9256296 0.8961556 0.9228331 0.9259965 0.8800996 0.9247514
QS.Ord1 0.9256296 1.0000000 0.9355240 0.9514082 0.9388920 0.9219549 0.9667001
AS.Ord1 0.8961556 0.9355240 1.0000000 0.9034921 0.9167387 0.9192350 0.9369686
CP.Ord1 0.9228331 0.9514082 0.9034921 1.0000000 0.9365726 0.9418189 0.9358730
AT.Ord1 0.9259965 0.9388920 0.9167387 0.9365726 1.0000000 0.9425493 0.9545731
DC.Ord1 0.8800996 0.9219549 0.9192350 0.9418189 0.9425493 1.0000000 0.9331084
RCS.Ord1 0.9247514 0.9667001 0.9369686 0.9358730 0.9545731 0.9331084 1.0000000
HCR.Ord1 0.8681592 0.9238294 0.8919804 0.8951187 0.9260981 0.9001048 0.9248549
PS.Ord1 0.5712460 0.5990874 0.6225223 0.6226503 0.5642106 0.5955441 0.5809883
LP.Ord1 0.5396065 0.5328785 0.5649747 0.5679647 0.4859679 0.5331316 0.5392466
ES.Ord1 0.6023096 0.6175947 0.6374298 0.6543738 0.5684806 0.6103163 0.6173078
PRS.Ord1 0.5530730 0.5692071 0.5934308 0.6079941 0.5537032 0.5695012 0.5685203
SAS.Ord1 0.5359056 0.5363127 0.5750884 0.5669589 0.5027647 0.5324317 0.5440298
ILM.Ord1 0.6122301 0.6390435 0.6087170 0.6497760 0.5646008 0.5935372 0.6079410
ULR.Ord1 0.5909076 0.5849770 0.6054920 0.6627804 0.5803776 0.6173697 0.5954252
HSB.Ord1 0.6201909 0.6383035 0.6617198 0.6692622 0.6227408 0.6440383 0.6425140
ML.Ord1 0.5376176 0.6165746 0.5289589 0.5840519 0.4904653 0.4739730 0.5356321
EGW.Ord1 0.5440420 0.6188332 0.5318151 0.5923446 0.5018139 0.4762960 0.5427102
RSR.Ord1 0.4923718 0.5691525 0.4893912 0.5446256 0.4713101 0.4359276 0.5091192
KA.Ord1 0.5478702 0.6240256 0.5832035 0.5820628 0.5289803 0.4868983 0.5694934
SD.Ord1 0.5180252 0.5982883 0.4947765 0.5872720 0.4808845 0.4860137 0.5461864
FU.Ord1 0.5624142 0.6637056 0.5989198 0.6240819 0.5678686 0.5237757 0.6187221
CS.Ord1 0.4900304 0.5956320 0.5197122 0.5488977 0.4860400 0.4761960 0.5355486
CPS.Ord1 0.4975405 0.5972711 0.5275548 0.5750945 0.4884135 0.4653755 0.5296623
HCR.Ord1 PS.Ord1 LP.Ord1 ES.Ord1 PRS.Ord1 SAS.Ord1 ILM.Ord1
TOT.Ord1 0.8681592 0.5712460 0.5396065 0.6023096 0.5530730 0.5359056 0.6122301
QS.Ord1 0.9238294 0.5990874 0.5328785 0.6175947 0.5692071 0.5363127 0.6390435
AS.Ord1 0.8919804 0.6225223 0.5649747 0.6374298 0.5934308 0.5750884 0.6087170
CP.Ord1 0.8951187 0.6226503 0.5679647 0.6543738 0.6079941 0.5669589 0.6497760
AT.Ord1 0.9260981 0.5642106 0.4859679 0.5684806 0.5537032 0.5027647 0.5646008
DC.Ord1 0.9001048 0.5955441 0.5331316 0.6103163 0.5695012 0.5324317 0.5935372
RCS.Ord1 0.9248549 0.5809883 0.5392466 0.6173078 0.5685203 0.5440298 0.6079410
HCR.Ord1 1.0000000 0.4532487 0.3502090 0.4739167 0.3895039 0.3638533 0.4744806
PS.Ord1 0.4532487 1.0000000 0.9175044 0.9613737 0.9338023 0.9528037 0.9549604
LP.Ord1 0.3502090 0.9175044 1.0000000 0.9476215 0.9516471 0.9651854 0.9363769
ES.Ord1 0.4739167 0.9613737 0.9476215 1.0000000 0.9291292 0.9620359 0.9472156
PRS.Ord1 0.3895039 0.9338023 0.9516471 0.9291292 1.0000000 0.9582239 0.9238875
SAS.Ord1 0.3638533 0.9528037 0.9651854 0.9620359 0.9582239 1.0000000 0.9333841
ILM.Ord1 0.4744806 0.9549604 0.9363769 0.9472156 0.9238875 0.9333841 1.0000000
ULR.Ord1 0.4523972 0.9443560 0.9140513 0.9470894 0.9242548 0.9372087 0.9166615
HSB.Ord1 0.4812885 0.9557444 0.9324963 0.9508726 0.9607760 0.9544710 0.9372543
ML.Ord1 0.5678707 0.6494670 0.6179791 0.6489589 0.6107318 0.5992484 0.7199657
EGW.Ord1 0.5978843 0.6005358 0.5529638 0.6173780 0.5622679 0.5280034 0.6704670
RSR.Ord1 0.5221986 0.6637596 0.6343596 0.6716247 0.6338084 0.6194476 0.7259866
KA.Ord1 0.5856874 0.7319281 0.6660936 0.7304730 0.6771359 0.6685675 0.7464456
SD.Ord1 0.5427318 0.6156795 0.6119027 0.6453645 0.6033377 0.5807969 0.6888332
FU.Ord1 0.6299679 0.6682867 0.6225590 0.6678456 0.6592724 0.6228827 0.7035874
CS.Ord1 0.5569469 0.6145818 0.5685463 0.6086642 0.6067464 0.5672843 0.6648109
CPS.Ord1 0.5313625 0.6646450 0.6564595 0.6747066 0.6746563 0.6312782 0.7229541
ULR.Ord1 HSB.Ord1 ML.Ord1 EGW.Ord1 RSR.Ord1 KA.Ord1 SD.Ord1
TOT.Ord1 0.5909076 0.6201909 0.5376176 0.5440420 0.4923718 0.5478702 0.5180252
QS.Ord1 0.5849770 0.6383035 0.6165746 0.6188332 0.5691525 0.6240256 0.5982883
AS.Ord1 0.6054920 0.6617198 0.5289589 0.5318151 0.4893912 0.5832035 0.4947765
CP.Ord1 0.6627804 0.6692622 0.5840519 0.5923446 0.5446256 0.5820628 0.5872720
AT.Ord1 0.5803776 0.6227408 0.4904653 0.5018139 0.4713101 0.5289803 0.4808845
DC.Ord1 0.6173697 0.6440383 0.4739730 0.4762960 0.4359276 0.4868983 0.4860137
RCS.Ord1 0.5954252 0.6425140 0.5356321 0.5427102 0.5091192 0.5694934 0.5461864
HCR.Ord1 0.4523972 0.4812885 0.5678707 0.5978843 0.5221986 0.5856874 0.5427318
PS.Ord1 0.9443560 0.9557444 0.6494670 0.6005358 0.6637596 0.7319281 0.6156795
LP.Ord1 0.9140513 0.9324963 0.6179791 0.5529638 0.6343596 0.6660936 0.6119027
ES.Ord1 0.9470894 0.9508726 0.6489589 0.6173780 0.6716247 0.7304730 0.6453645
PRS.Ord1 0.9242548 0.9607760 0.6107318 0.5622679 0.6338084 0.6771359 0.6033377
SAS.Ord1 0.9372087 0.9544710 0.5992484 0.5280034 0.6194476 0.6685675 0.5807969
ILM.Ord1 0.9166615 0.9372543 0.7199657 0.6704670 0.7259866 0.7464456 0.6888332
ULR.Ord1 1.0000000 0.9461778 0.6373982 0.5713033 0.6556318 0.6935558 0.6398638
HSB.Ord1 0.9461778 1.0000000 0.6010218 0.5620735 0.6232361 0.6783815 0.5810806
ML.Ord1 0.6373982 0.6010218 1.0000000 0.9443036 0.9600871 0.9388051 0.9445763
EGW.Ord1 0.5713033 0.5620735 0.9443036 1.0000000 0.9544799 0.9362831 0.9323461
RSR.Ord1 0.6556318 0.6232361 0.9600871 0.9544799 1.0000000 0.9510378 0.9559886
KA.Ord1 0.6935558 0.6783815 0.9388051 0.9362831 0.9510378 1.0000000 0.9074740
SD.Ord1 0.6398638 0.5810806 0.9445763 0.9323461 0.9559886 0.9074740 1.0000000
FU.Ord1 0.6494107 0.6522355 0.9489399 0.9386953 0.9389846 0.9539260 0.9131946
CS.Ord1 0.6130110 0.5901683 0.9239567 0.9227316 0.9424919 0.9252122 0.9306312
CPS.Ord1 0.6495322 0.6301827 0.9619984 0.9500882 0.9667570 0.9501747 0.9466561
FU.Ord1 CS.Ord1 CPS.Ord1
TOT.Ord1 0.5624142 0.4900304 0.4975405
QS.Ord1 0.6637056 0.5956320 0.5972711
AS.Ord1 0.5989198 0.5197122 0.5275548
CP.Ord1 0.6240819 0.5488977 0.5750945
AT.Ord1 0.5678686 0.4860400 0.4884135
DC.Ord1 0.5237757 0.4761960 0.4653755
RCS.Ord1 0.6187221 0.5355486 0.5296623
HCR.Ord1 0.6299679 0.5569469 0.5313625
PS.Ord1 0.6682867 0.6145818 0.6646450
LP.Ord1 0.6225590 0.5685463 0.6564595
ES.Ord1 0.6678456 0.6086642 0.6747066
PRS.Ord1 0.6592724 0.6067464 0.6746563
SAS.Ord1 0.6228827 0.5672843 0.6312782
ILM.Ord1 0.7035874 0.6648109 0.7229541
ULR.Ord1 0.6494107 0.6130110 0.6495322
HSB.Ord1 0.6522355 0.5901683 0.6301827
ML.Ord1 0.9489399 0.9239567 0.9619984
EGW.Ord1 0.9386953 0.9227316 0.9500882
RSR.Ord1 0.9389846 0.9424919 0.9667570
KA.Ord1 0.9539260 0.9252122 0.9501747
SD.Ord1 0.9131946 0.9306312 0.9466561
FU.Ord1 1.0000000 0.9378879 0.9519025
CS.Ord1 0.9378879 1.0000000 0.9438741
CPS.Ord1 0.9519025 0.9438741 1.0000000
$n
[1] 46
$dim.variables
items dimension
1 TOT.Ord1 1
2 QS.Ord1 1
3 AS.Ord1 1
4 CP.Ord1 1
5 AT.Ord1 1
6 DC.Ord1 1
7 RCS.Ord1 1
8 HCR.Ord1 1
9 PS.Ord1 2
10 LP.Ord1 2
11 ES.Ord1 2
12 PRS.Ord1 2
13 SAS.Ord1 2
14 ILM.Ord1 2
15 ULR.Ord1 2
16 HSB.Ord1 2
17 ML.Ord1 3
18 EGW.Ord1 3
19 RSR.Ord1 3
20 KA.Ord1 3
21 SD.Ord1 3
22 FU.Ord1 3
23 CS.Ord1 3
24 CPS.Ord1 3
$TEFI
[1] -24.44524
attr(,"class")
[1] "EGA"
attr(,"unidimensional")
attr(,"unidimensional")$uni.method
[1] "louvain"
attr(,"unidimensional")$unidimensional
[1] FALSE
attr(,"unidimensional")$consensus
attr(,"unidimensional")$consensus$algorithm
[1] "Louvain"
attr(,"unidimensional")$consensus$objective_function
NULL
Output 12 and Figure 10 show the extraction of the dynamic EGA results at the individual level, specifically for individual number 75 in the dataset. The analysis employs a regularization parameter (lambda) of approximately 0.097. This individual’s network comprises 24 variables (nodes) and 104 edges, leading to an edge density of 0.377. The non-zero edge weights have a mean of 0.113, a standard deviation of 0.074, and a range from -0.024 to 0.258. The Louvain algorithm identified three distinct communities. The first community includes variables TOT.Ord1 through PRS.Ord1, the second community includes variables SAS.Ord1 through CPS.Ord1, and the third community consists of variables ML.Ord1 through CPS.Ord1. The three-community network has a TEFI value of -24.445.
In summary, the population-level analysis revealed a denser network with four communities, indicated by its highest edge density. In contrast, the group-level analyses showed variations in edge density and community structure: Group 1 exhibited two communities, whereas Group 2 had three. At the individual level, network structures were less dense and varied in the number of communities, reflecting individual differences in network connectivity and structure. Comparing the TEFI values across all units of measurement, the network structure of Case 1 appears to be the most robust (TEFI = -30.637), followed by Group 1 (TEFI = -28.646), Group 2 (TEFI = -27.93), Case 75 (TEFI = -24.445), and the population-level structure as relatively less stable (TEFI = -19.086). This variability may stem from Case 1 and Group 1 having only two communities, limiting the potential communities that can be loaded, whereas the population-level structure’s four communities allow for more loading possibility loading across multiple communities, resulting in lower stability as indicated by its TEFI value.
3.1.4 Identifying Redundant Nodes with Unique Variable Analysis
In addition to examining the structure of a dataset, the EGAnet package can identify redundant nodes that do not contribute meaningfully to the network structure, thereby reducing complexity. The UVA method identifies redundant nodes for researchers to address. It includes actions such as computing latent variables using CFA when there are three or more redundant variables, calculating the mean of redundant variables, removing all but one variable from a set of redundant variables based on wTO, and computing the sum of redundant variables. This task is demonstrated using the EGAnet::UVA function on the STARS dataset [26]. We begin by loading and examining the dataset as follows:
names(df_stars) [1] "STARS01" "STARS02" "STARS03" "STARS04" "STARS05" "STARS06" "STARS07"
[8] "STARS08" "STARS09" "STARS10" "STARS11" "STARS12" "STARS13" "STARS14"
[15] "STARS15" "STARS16" "STARS17" "STARS18" "STARS19" "STARS20" "STARS21"
[22] "STARS22" "STARS23" "STARS24" "STARS25" "STARS26" "STARS27" "STARS28"
[29] "STARS29" "STARS30" "STARS31" "STARS32" "STARS33" "STARS34" "STARS35"
[36] "STARS36" "STARS37" "STARS38" "STARS39" "STARS40" "STARS41" "STARS42"
[43] "STARS43" "STARS44" "STARS45" "STARS46" "STARS47" "STARS48" "STARS49"
[50] "STARS50" "STARS51"Next, we apply the UVA method to identify redundant variables and extract its results as follows:
stars_uva <- EGAnet::UVA(
data = df_stars,
reduce.method = "remove")Output 13. UVA Output of the STARS Dataset
stars_uva$reduced_data
STARS03 STARS04 STARS05 STARS06 STARS07 STARS08 STARS09 STARS11 STARS12
[1,] 2 4 2 2 2 4 2 2 3
[2,] 4 5 5 3 5 5 2 4 5
[3,] 4 4 4 4 4 4 1 4 4
[4,] 4 5 4 4 4 5 4 4 5
[5,] 1 2 2 2 2 3 2 3 2
[6,] 2 3 2 2 2 4 2 1 2
[7,] 1 2 3 2 4 3 2 3 3
[8,] 2 2 3 2 4 2 2 2 1
[9,] 2 5 4 4 5 5 5 3 5
[10,] 5 4 4 4 4 4 2 4 5
[11,] 5 4 4 2 5 4 3 1 2
[12,] 3 4 3 1 3 3 2 2 1
[13,] 4 4 4 4 5 5 3 4 2
[14,] 4 5 4 3 5 5 4 5 5
[15,] 1 4 4 4 3 5 1 4 4
[16,] 1 4 4 3 4 4 2 3 2
[17,] 2 2 2 4 4 2 3 3 3
[18,] 4 3 4 2 4 5 1 3 4
[19,] 2 4 4 4 4 2 4 4 5
[20,] 3 4 5 5 5 4 4 3 3
[21,] 5 3 3 3 5 5 3 4 4
[22,] 1 4 3 3 4 5 1 4 3
[23,] 4 4 2 2 5 5 2 3 3
[24,] 3 4 4 3 4 3 4 3 4
[25,] 2 4 4 5 4 4 1 4 2
[26,] 2 2 2 2 2 5 1 4 4
[27,] 2 2 3 3 4 4 3 1 2
[28,] 2 3 3 2 5 4 1 3 2
[29,] 2 3 4 3 4 5 3 3 2
[30,] 3 4 5 4 5 4 1 4 5
[31,] 3 4 4 3 3 3 3 4 3
[32,] 3 4 4 5 5 5 2 3 3
[33,] 3 4 4 5 4 5 2 4 5
[34,] 4 4 3 3 5 5 3 5 5
[35,] 2 4 3 4 4 5 1 2 4
[36,] 2 4 4 4 5 5 2 4 3
[37,] 4 4 4 4 4 4 3 4 4
[38,] 4 4 4 4 4 5 2 4 4
[39,] 3 5 4 2 5 5 3 4 4
[40,] 2 3 3 3 3 3 2 2 2
[41,] 1 4 3 2 4 5 3 4 3
[42,] 2 3 4 3 2 5 3 4 4
[43,] 3 4 5 3 5 4 3 5 2
[44,] 2 2 1 1 1 2 1 1 1
[45,] 3 3 3 3 3 3 1 4 3
[46,] 1 5 1 1 4 5 1 4 3
[47,] 2 3 4 3 3 4 3 3 3
[48,] 3 2 3 2 3 4 2 4 3
[49,] 4 4 4 4 3 2 2 4 3
[50,] 1 4 1 1 1 5 1 1 1
[51,] 1 4 3 2 3 4 2 3 1
[52,] 2 4 4 3 5 5 3 2 4
[53,] 4 4 3 3 4 5 3 3 3
[54,] 2 3 3 4 3 3 3 3 2
[55,] 2 3 3 2 4 4 2 3 3
[56,] 3 4 3 3 3 4 3 3 3
[57,] 2 3 3 4 4 4 3 3 4
[58,] 1 3 4 3 3 5 4 3 3
[59,] 3 3 3 3 3 3 3 3 3
[60,] 1 1 3 3 3 5 1 2 1
[61,] 3 3 3 2 4 4 3 4 2
[62,] 4 4 3 4 4 5 3 4 3
[63,] 4 4 4 4 4 4 3 4 4
[64,] 3 5 4 3 5 5 2 3 3
[65,] 5 4 5 3 4 5 2 4 3
[66,] 3 3 3 4 4 5 3 4 4
[67,] 1 4 3 4 3 4 2 3 4
[68,] 2 3 2 2 2 5 1 2 3
[69,] 3 2 2 2 2 3 3 3 3
[70,] 5 4 3 4 3 4 5 4 4
[71,] 2 4 3 2 4 5 2 3 2
[72,] 4 2 3 3 2 3 4 2 2
[73,] 4 1 1 1 1 3 1 1 1
[74,] 2 3 3 2 3 4 3 3 1
[75,] 3 5 5 3 3 3 4 2 3
[76,] 2 4 4 4 4 5 3 5 5
[77,] 4 4 2 2 4 5 1 2 3
[78,] 5 5 5 5 5 5 5 5 5
[79,] 1 1 1 1 1 3 1 1 1
[80,] 2 3 3 2 3 5 4 4 4
[81,] 4 3 2 2 3 5 1 3 2
[82,] 1 2 2 1 2 4 2 3 3
[83,] 1 1 3 2 1 3 1 1 1
[84,] 2 2 2 2 3 5 2 2 2
[85,] 3 3 3 3 3 4 4 3 4
[86,] 3 4 2 2 3 5 1 3 2
[87,] 3 2 1 1 4 4 1 2 2
[88,] 1 3 2 3 4 5 1 4 3
[89,] 2 2 2 2 3 3 1 3 3
[90,] 3 4 3 3 5 5 2 4 3
[91,] 3 5 4 3 2 4 3 4 3
[92,] 4 5 5 4 5 5 1 4 4
[93,] 4 4 4 4 4 5 2 4 4
[94,] 4 2 3 4 2 3 4 2 3
[95,] 2 5 4 3 5 5 1 4 1
[96,] 1 1 2 1 3 2 1 2 1
[97,] 5 3 5 4 5 5 2 5 5
[98,] 3 4 3 4 3 3 3 3 3
[99,] 4 4 3 3 4 4 2 4 3
[100,] 4 3 4 2 5 5 1 4 2
[101,] 3 3 3 3 4 4 3 4 3
[102,] 4 4 4 2 4 4 3 3 3
[103,] 2 2 2 2 1 3 1 1 1
[104,] 3 4 4 3 4 5 4 4 3
[105,] 2 2 2 3 3 5 2 5 3
[106,] 1 1 1 2 2 3 1 2 2
[107,] 1 2 3 2 3 5 1 3 2
[108,] 3 4 2 1 3 5 1 4 4
[109,] 2 4 3 3 2 2 4 3 2
[110,] 2 2 2 2 3 3 1 2 2
[111,] 1 1 2 1 2 2 1 2 1
[112,] 3 5 3 3 5 5 2 3 3
[113,] 2 5 3 1 5 5 1 3 1
[114,] 3 5 5 4 5 5 2 5 5
[115,] 2 2 1 1 1 4 1 1 1
[116,] 2 3 3 3 4 4 1 2 4
[117,] 5 3 3 1 4 5 3 2 1
[118,] 2 4 3 3 3 2 3 4 3
[119,] 5 2 3 3 4 5 1 2 1
[120,] 3 4 3 2 3 4 1 3 4
[121,] 3 4 2 1 5 5 1 1 1
[122,] 5 4 4 3 4 5 2 4 4
[123,] 4 4 4 4 4 4 4 4 4
[124,] 1 1 3 1 3 4 1 2 1
[125,] 1 2 1 1 2 3 1 1 1
[126,] 3 4 4 2 4 5 1 4 2
[127,] 3 2 2 2 4 4 4 1 2
[128,] 4 3 4 3 3 4 4 4 4
[129,] 2 4 5 2 5 5 1 5 2
[130,] 3 3 3 2 3 4 1 2 3
[131,] 1 3 2 2 4 5 1 2 1
[132,] 4 5 2 1 1 5 1 4 2
[133,] 1 1 1 2 2 4 1 1 1
[134,] 2 3 4 2 4 4 2 4 4
[135,] 2 4 3 4 3 5 2 4 3
[136,] 2 2 1 2 4 2 2 4 1
[137,] 4 4 2 2 4 4 2 3 2
[138,] 4 4 4 4 4 4 3 4 4
[139,] 3 4 3 4 3 3 3 3 3
[140,] 3 4 4 4 4 3 4 4 3
[141,] 1 2 2 1 2 2 1 2 1
[142,] 1 3 3 4 3 4 3 2 2
[143,] 4 4 3 2 4 3 3 3 3
[144,] 3 3 2 3 4 4 2 2 2
[145,] 2 3 3 2 3 4 2 2 2
[146,] 3 3 3 3 3 3 1 2 2
[147,] 2 2 2 3 2 4 2 2 2
[148,] 4 3 3 3 3 5 2 4 3
[149,] 4 4 4 3 3 5 3 5 4
[150,] 2 3 3 4 4 3 2 3 3
[151,] 3 5 5 4 5 5 3 4 4
[152,] 1 4 4 5 4 4 2 4 3
[153,] 2 3 3 3 4 4 2 3 3
[154,] 3 4 4 4 4 5 3 4 4
[155,] 1 3 3 3 4 4 2 3 3
[156,] 2 3 3 3 4 4 2 3 4
[157,] 5 4 5 4 5 5 3 5 5
[158,] 2 3 3 3 2 4 3 2 3
[159,] 1 5 2 1 4 3 1 3 3
[160,] 1 2 4 2 5 5 3 2 2
[161,] 5 4 4 3 3 5 3 4 2
[162,] 5 5 5 5 5 5 5 5 5
[163,] 4 5 5 5 4 5 3 4 5
[164,] 2 3 3 2 2 3 2 2 2
[165,] 2 5 4 4 5 5 2 4 5
[166,] 1 4 2 2 3 5 2 3 3
[167,] 4 4 4 4 4 4 3 3 3
[168,] 1 1 1 3 4 4 1 4 1
[169,] 4 3 4 4 4 5 4 4 5
[170,] 3 4 4 2 3 5 3 3 4
[171,] 1 3 3 1 3 4 1 4 3
[172,] 2 3 3 4 4 4 2 2 4
[173,] 2 4 4 4 3 5 3 4 3
[174,] 3 4 3 5 3 5 2 4 5
[175,] 4 5 5 1 5 5 1 4 5
[176,] 2 2 2 2 4 5 2 3 4
[177,] 2 2 1 1 2 4 1 1 1
[178,] 5 4 3 3 5 5 1 4 4
[179,] 1 4 2 3 4 5 2 4 4
[180,] 5 5 5 4 5 5 4 5 5
[181,] 1 2 2 1 3 5 1 1 2
[182,] 1 3 2 2 4 4 2 4 4
[183,] 5 5 5 4 5 5 4 3 5
[184,] 3 4 3 3 3 5 2 3 3
[185,] 3 2 1 2 3 3 1 2 2
[186,] 1 2 2 3 4 2 1 3 3
[187,] 2 4 4 2 4 2 2 4 3
[188,] 2 3 2 2 3 4 2 2 3
[189,] 2 4 3 5 5 5 1 4 4
[190,] 3 3 3 2 4 5 1 2 2
[191,] 3 1 2 3 2 4 4 2 3
[192,] 3 1 1 1 2 2 1 1 1
[193,] 3 2 1 1 2 2 1 2 1
[194,] 2 2 3 1 4 4 1 3 3
[195,] 2 4 3 3 4 5 2 4 4
[196,] 3 3 3 4 4 4 2 4 3
[197,] 1 2 2 2 3 5 1 1 1
[198,] 5 5 2 2 5 4 1 1 1
[199,] 1 1 2 1 2 5 1 2 2
[200,] 1 1 3 2 2 4 1 3 1
[201,] 2 4 4 4 4 5 2 4 4
[202,] 2 4 4 1 5 4 1 3 2
STARS13 STARS14 STARS15 STARS18 STARS19 STARS20 STARS21 STARS22 STARS23
[1,] 3 2 3 3 2 2 3 2 2
[2,] 5 4 5 4 4 4 5 5 4
[3,] 4 4 4 4 4 4 3 3 4
[4,] 5 3 5 5 5 4 5 5 4
[5,] 4 1 3 2 3 3 2 3 1
[6,] 4 3 3 1 1 2 4 5 1
[7,] 3 2 4 3 1 2 2 4 1
[8,] 3 2 2 2 2 2 2 2 2
[9,] 5 2 5 5 2 4 5 5 2
[10,] 3 2 3 3 3 3 3 3 2
[11,] 4 2 4 3 2 4 3 4 2
[12,] 4 4 3 4 3 1 3 2 3
[13,] 4 2 4 2 4 4 3 5 4
[14,] 5 4 5 2 2 3 4 5 1
[15,] 5 4 4 1 1 4 2 3 1
[16,] 5 2 3 2 2 3 2 2 2
[17,] 2 5 5 3 4 5 5 5 5
[18,] 5 4 5 4 3 3 4 5 3
[19,] 4 4 4 3 4 4 3 4 3
[20,] 4 5 3 4 5 4 4 4 3
[21,] 4 4 4 4 4 5 4 5 5
[22,] 4 3 4 1 1 1 3 4 1
[23,] 3 4 4 1 1 1 4 5 1
[24,] 4 5 4 4 5 3 4 4 4
[25,] 4 2 4 4 4 2 2 4 1
[26,] 4 3 3 3 3 4 4 4 3
[27,] 3 3 3 3 1 2 3 4 1
[28,] 4 2 3 4 2 3 2 3 1
[29,] 3 2 3 2 4 3 3 3 2
[30,] 4 4 3 3 3 4 4 3 3
[31,] 3 3 4 3 3 3 3 3 3
[32,] 4 3 4 3 4 3 3 4 3
[33,] 4 3 2 1 1 4 3 3 1
[34,] 4 4 4 3 3 4 4 4 3
[35,] 3 3 4 1 1 3 3 4 1
[36,] 4 4 4 3 2 3 3 5 4
[37,] 3 3 3 3 2 4 3 4 3
[38,] 4 4 5 4 2 4 4 5 2
[39,] 4 2 4 4 4 4 4 4 4
[40,] 2 2 3 2 2 3 2 2 2
[41,] 4 2 4 1 2 3 4 3 1
[42,] 4 3 4 4 3 4 4 4 2
[43,] 3 3 4 3 3 2 3 3 3
[44,] 2 1 2 1 2 1 1 2 1
[45,] 2 3 3 3 2 3 2 2 3
[46,] 5 5 5 3 1 1 5 5 2
[47,] 2 3 3 1 1 3 3 3 2
[48,] 4 1 4 3 3 3 1 1 2
[49,] 3 2 4 2 2 3 4 4 3
[50,] 1 1 5 1 1 1 3 5 1
[51,] 2 1 2 1 1 1 1 3 1
[52,] 4 4 4 3 2 2 4 4 2
[53,] 5 4 4 3 3 4 4 5 3
[54,] 2 2 2 2 3 3 3 3 3
[55,] 3 3 3 1 1 2 3 3 1
[56,] 4 3 4 3 3 3 4 4 3
[57,] 3 3 4 2 2 4 3 4 2
[58,] 4 4 4 3 2 3 3 5 1
[59,] 3 3 3 3 3 3 2 3 3
[60,] 3 3 5 3 2 3 1 4 2
[61,] 3 3 3 2 2 2 3 2 1
[62,] 4 3 5 3 3 4 4 5 4
[63,] 4 4 4 4 4 4 5 5 3
[64,] 4 3 4 3 4 3 4 2 4
[65,] 5 5 3 5 5 5 3 5 4
[66,] 4 4 5 3 3 3 4 5 2
[67,] 4 3 3 3 3 4 1 3 2
[68,] 4 2 5 5 3 2 4 5 2
[69,] 3 2 3 2 1 1 1 2 2
[70,] 3 3 3 3 3 4 4 4 3
[71,] 3 2 3 1 2 2 2 5 2
[72,] 3 3 3 3 3 2 2 2 2
[73,] 1 1 3 1 1 1 1 3 1
[74,] 3 2 3 3 2 2 1 3 2
[75,] 4 3 2 5 5 2 2 2 2
[76,] 4 3 5 4 4 3 3 5 3
[77,] 5 3 5 4 3 2 5 5 3
[78,] 5 5 5 5 5 5 5 5 5
[79,] 2 1 2 1 1 1 1 2 1
[80,] 4 3 4 3 4 4 3 4 4
[81,] 1 2 2 1 2 3 4 5 2
[82,] 2 2 3 1 1 1 1 1 1
[83,] 2 3 1 1 1 2 1 1 1
[84,] 4 2 4 2 2 2 4 4 2
[85,] 3 3 3 3 3 3 3 3 3
[86,] 3 2 4 2 2 2 3 4 3
[87,] 3 2 4 4 3 2 1 3 2
[88,] 2 2 4 3 2 2 4 3 2
[89,] 2 2 1 1 2 2 2 1 1
[90,] 4 2 4 3 4 4 4 2 4
[91,] 4 4 3 3 4 3 3 4 3
[92,] 5 5 5 5 2 4 4 5 3
[93,] 5 3 5 4 4 4 5 5 5
[94,] 3 4 3 2 3 3 4 2 3
[95,] 4 4 5 1 2 3 5 5 5
[96,] 2 2 3 1 1 1 2 3 1
[97,] 5 3 5 3 5 5 5 5 5
[98,] 3 3 4 4 3 4 3 2 3
[99,] 4 2 5 4 2 2 2 5 4
[100,] 4 2 4 1 4 2 4 3 2
[101,] 3 3 3 3 3 3 3 3 2
[102,] 3 3 4 1 2 3 3 4 2
[103,] 1 1 1 1 2 2 1 1 1
[104,] 4 4 3 3 3 3 2 3 2
[105,] 3 2 5 5 2 2 5 5 5
[106,] 3 2 1 1 2 2 1 2 2
[107,] 4 2 2 2 1 2 2 3 1
[108,] 5 5 5 5 3 2 4 4 1
[109,] 2 4 3 4 2 3 4 3 2
[110,] 2 2 2 2 2 3 1 2 2
[111,] 1 1 2 1 1 2 1 1 1
[112,] 5 5 5 1 1 4 1 5 1
[113,] 5 3 5 1 1 1 4 4 1
[114,] 5 5 5 3 4 5 5 5 3
[115,] 2 1 3 1 1 1 2 1 1
[116,] 2 1 1 1 1 2 1 1 1
[117,] 4 2 5 2 1 1 3 1 1
[118,] 3 3 4 4 4 2 3 2 2
[119,] 2 2 3 1 1 3 2 4 1
[120,] 4 2 4 1 3 2 3 3 3
[121,] 2 1 5 1 1 3 4 1 2
[122,] 4 4 4 3 4 3 3 5 5
[123,] 4 4 4 4 4 4 4 4 4
[124,] 3 1 3 1 2 1 2 3 1
[125,] 2 2 3 1 1 1 1 3 1
[126,] 5 4 5 3 3 2 4 4 2
[127,] 4 2 4 1 1 3 2 3 2
[128,] 3 4 4 3 4 3 4 3 3
[129,] 4 2 5 1 2 2 4 5 2
[130,] 3 3 4 2 2 2 2 4 2
[131,] 4 1 5 1 1 1 4 5 1
[132,] 5 4 5 4 2 1 5 5 2
[133,] 3 1 3 1 1 2 1 1 1
[134,] 3 4 3 2 3 4 2 4 2
[135,] 3 3 3 4 2 4 3 2 3
[136,] 4 2 4 4 1 2 4 5 1
[137,] 4 3 2 2 2 2 4 4 2
[138,] 4 4 4 4 3 4 4 4 3
[139,] 3 3 3 3 3 4 4 3 3
[140,] 4 4 3 3 4 4 2 2 4
[141,] 1 1 2 1 1 1 1 1 1
[142,] 4 2 3 3 2 4 1 4 1
[143,] 4 3 3 3 3 3 3 2 3
[144,] 3 3 4 3 3 2 2 4 3
[145,] 3 2 2 3 2 2 2 4 2
[146,] 2 2 3 1 1 2 2 2 1
[147,] 3 3 3 2 2 3 2 2 2
[148,] 4 4 4 4 4 4 4 4 4
[149,] 4 5 5 2 4 4 4 5 4
[150,] 4 2 3 4 4 3 3 4 3
[151,] 5 5 5 4 4 4 5 4 3
[152,] 4 4 4 1 1 3 2 3 1
[153,] 4 2 3 2 2 2 2 3 2
[154,] 4 5 5 4 4 4 5 5 4
[155,] 3 2 4 2 2 2 3 1 1
[156,] 4 2 3 3 2 2 2 4 2
[157,] 5 5 5 5 5 5 3 3 4
[158,] 4 3 4 3 3 4 3 2 4
[159,] 4 1 1 1 1 2 1 2 1
[160,] 4 3 4 2 2 3 3 4 1
[161,] 3 3 2 3 3 4 2 4 3
[162,] 5 5 5 5 5 5 5 2 2
[163,] 5 5 5 5 2 4 2 4 3
[164,] 3 3 3 2 2 2 3 3 2
[165,] 5 3 5 5 3 4 5 4 2
[166,] 5 2 4 2 1 3 2 1 1
[167,] 4 3 4 4 3 4 3 3 3
[168,] 2 1 2 1 1 3 1 3 1
[169,] 4 4 5 4 4 4 4 4 3
[170,] 3 3 3 3 3 4 4 3 1
[171,] 4 3 4 2 1 1 1 2 1
[172,] 4 2 4 3 2 3 2 3 2
[173,] 4 3 4 2 3 3 2 3 2
[174,] 5 4 5 2 1 5 5 5 1
[175,] 5 5 5 3 3 3 2 5 2
[176,] 3 4 5 2 2 4 2 5 3
[177,] 2 1 4 1 2 2 2 4 2
[178,] 4 3 2 1 1 2 2 4 3
[179,] 4 3 5 3 1 4 4 1 1
[180,] 5 4 5 5 4 5 4 5 4
[181,] 3 3 4 2 1 1 3 4 1
[182,] 5 2 4 4 2 3 1 4 1
[183,] 5 5 5 5 5 4 5 5 5
[184,] 4 3 5 3 2 3 4 3 2
[185,] 3 2 3 2 2 3 1 3 2
[186,] 5 3 2 3 3 4 2 2 1
[187,] 2 2 4 2 4 2 4 4 2
[188,] 3 2 4 3 2 3 4 4 2
[189,] 4 2 4 4 1 4 4 3 3
[190,] 4 2 3 1 2 2 1 3 3
[191,] 4 1 3 4 2 5 2 2 2
[192,] 2 1 1 1 1 1 1 1 1
[193,] 3 1 2 2 3 1 2 2 1
[194,] 2 3 4 1 1 1 2 2 1
[195,] 5 3 5 2 3 3 5 5 2
[196,] 4 4 2 3 3 3 4 4 3
[197,] 1 1 3 2 1 2 2 3 1
[198,] 4 3 4 3 2 2 2 3 1
[199,] 4 2 4 3 1 1 3 3 1
[200,] 1 2 1 1 2 2 1 2 2
[201,] 4 4 5 2 3 4 4 4 3
[202,] 2 4 4 1 1 1 3 5 1
STARS24 STARS25 STARS26 STARS27 STARS28 STARS29 STARS31 STARS32 STARS33
[1,] 3 2 4 4 4 4 2 2 3
[2,] 5 5 4 4 4 5 3 5 5
[3,] 4 4 4 4 4 4 4 4 4
[4,] 2 4 2 2 2 2 5 4 4
[5,] 2 2 1 1 1 1 1 1 1
[6,] 1 2 4 2 4 1 1 1 4
[7,] 2 2 4 2 2 2 1 3 1
[8,] 1 2 2 2 2 2 2 2 2
[9,] 1 5 2 2 2 2 2 2 2
[10,] 1 3 1 1 3 1 2 1 1
[11,] 1 2 4 1 3 2 3 1 2
[12,] 2 2 3 2 2 2 2 2 2
[13,] 2 4 5 2 3 2 1 4 4
[14,] 4 5 5 3 4 4 1 2 4
[15,] 3 4 2 1 3 1 1 1 1
[16,] 3 2 4 2 4 3 1 4 2
[17,] 3 1 3 3 3 1 1 5 1
[18,] 2 3 2 1 2 1 1 1 1
[19,] 2 3 3 3 4 2 2 2 2
[20,] 3 4 3 4 5 3 3 1 3
[21,] 1 2 2 1 1 1 1 1 1
[22,] 2 3 3 2 4 2 1 1 1
[23,] 1 4 4 1 5 1 4 1 3
[24,] 4 3 4 3 3 4 3 3 4
[25,] 4 5 2 4 4 2 1 2 2
[26,] 1 1 3 3 2 2 1 1 1
[27,] 3 1 2 2 2 2 1 1 2
[28,] 2 2 4 2 4 2 2 1 1
[29,] 2 2 1 1 1 1 1 1 1
[30,] 2 4 3 3 3 2 2 1 3
[31,] 3 4 3 4 3 4 3 4 3
[32,] 3 4 3 3 3 1 3 4 4
[33,] 1 3 2 1 2 1 3 1 1
[34,] 2 3 2 2 3 2 2 2 2
[35,] 2 2 1 2 2 2 2 2 2
[36,] 2 2 2 2 1 1 1 1 2
[37,] 3 3 4 4 3 2 2 2 3
[38,] 1 4 2 2 2 2 4 2 2
[39,] 2 3 3 2 3 2 2 1 2
[40,] 3 3 4 3 3 3 2 2 3
[41,] 1 3 1 1 1 1 1 1 1
[42,] 3 2 2 2 4 2 1 1 4
[43,] 2 3 2 2 3 2 2 2 2
[44,] 1 2 1 5 5 1 1 1 1
[45,] 1 3 3 2 3 3 3 3 3
[46,] 1 4 1 2 1 1 2 1 1
[47,] 3 2 2 2 3 2 2 3 3
[48,] 4 3 3 2 2 2 1 1 1
[49,] 4 4 3 2 2 3 4 3 3
[50,] 1 1 1 1 3 1 1 1 1
[51,] 1 2 1 2 1 1 1 1 1
[52,] 4 5 5 3 4 3 5 1 4
[53,] 3 5 5 2 3 3 4 2 3
[54,] 2 3 2 2 2 2 2 2 2
[55,] 3 4 3 3 2 2 2 1 2
[56,] 4 4 4 4 4 4 2 2 3
[57,] 2 3 4 3 3 2 2 2 2
[58,] 3 3 1 1 2 1 2 1 1
[59,] 2 2 4 3 3 3 3 3 3
[60,] 3 4 3 2 3 2 2 1 2
[61,] 3 4 4 3 3 3 2 1 1
[62,] 4 5 4 4 4 3 4 5 4
[63,] 4 4 4 4 4 2 4 2 4
[64,] 3 4 5 4 5 4 2 2 4
[65,] 3 2 3 2 3 2 3 2 3
[66,] 3 5 5 4 5 3 5 3 3
[67,] 3 3 3 2 2 2 1 1 1
[68,] 1 5 1 1 2 1 4 1 1
[69,] 2 2 2 2 2 2 2 2 2
[70,] 2 5 5 5 3 3 3 1 3
[71,] 3 3 4 3 2 2 1 1 3
[72,] 3 2 3 4 2 2 1 1 2
[73,] 3 3 3 3 3 3 3 3 3
[74,] 1 4 4 3 4 3 3 1 2
[75,] 4 3 2 4 4 3 2 3 4
[76,] 2 4 1 1 1 1 3 1 1
[77,] 1 3 2 2 2 2 5 1 2
[78,] 5 5 5 5 5 5 5 5 5
[79,] 2 2 1 1 1 1 1 1 2
[80,] 3 3 3 4 3 3 3 1 3
[81,] 3 4 4 2 3 3 4 1 2
[82,] 3 1 1 1 1 1 1 1 1
[83,] 1 2 2 1 2 1 1 1 1
[84,] 2 2 2 2 2 2 1 1 1
[85,] 2 2 2 2 3 2 2 2 3
[86,] 3 4 2 2 2 1 4 1 2
[87,] 1 1 1 1 1 1 1 1 1
[88,] 2 2 1 1 3 2 1 1 2
[89,] 3 1 1 1 1 1 1 2 1
[90,] 1 3 2 2 2 2 2 1 1
[91,] 4 3 3 4 4 5 3 4 5
[92,] 3 5 4 3 3 3 5 1 3
[93,] 3 3 2 2 2 2 1 1 1
[94,] 4 3 4 3 4 3 3 2 2
[95,] 1 5 3 1 1 1 5 1 1
[96,] 2 2 3 3 2 2 2 1 1
[97,] 3 4 3 2 3 2 4 1 2
[98,] 3 3 3 2 2 2 3 2 3
[99,] 3 3 2 2 3 1 1 2 1
[100,] 2 5 1 1 1 1 4 1 2
[101,] 4 3 4 4 4 4 3 3 3
[102,] 2 2 2 2 3 2 4 2 2
[103,] 2 2 1 2 2 1 1 2 1
[104,] 3 2 3 3 4 3 2 2 3
[105,] 1 5 2 2 2 2 1 2 1
[106,] 1 1 1 1 1 1 1 1 1
[107,] 2 4 3 2 2 2 2 1 2
[108,] 4 5 2 1 3 1 2 3 1
[109,] 2 4 2 2 1 1 1 1 1
[110,] 2 1 1 2 2 2 1 2 2
[111,] 2 2 1 1 1 1 1 1 1
[112,] 1 5 1 1 1 1 5 1 1
[113,] 4 4 4 3 4 3 3 3 3
[114,] 3 5 5 3 5 5 5 3 5
[115,] 2 3 2 2 2 2 1 1 1
[116,] 5 3 2 2 2 2 1 1 2
[117,] 4 3 4 2 1 1 3 2 1
[118,] 3 3 4 3 3 2 2 3 3
[119,] 4 4 1 1 1 1 3 1 1
[120,] 3 2 2 2 3 3 2 1 2
[121,] 1 4 5 5 5 5 1 1 4
[122,] 3 3 2 3 3 3 3 3 2
[123,] 4 5 4 4 5 2 3 2 4
[124,] 1 2 1 1 1 1 2 5 1
[125,] 3 1 2 1 2 2 1 1 1
[126,] 3 5 2 1 2 1 3 1 2
[127,] 2 2 3 4 2 1 1 1 2
[128,] 3 3 4 3 3 3 4 3 4
[129,] 5 3 2 4 2 3 1 2 4
[130,] 3 2 4 3 3 4 1 1 3
[131,] 1 3 5 1 2 3 1 1 2
[132,] 2 5 2 1 3 2 5 3 2
[133,] 2 3 2 1 3 2 1 1 1
[134,] 2 2 1 1 2 2 2 2 2
[135,] 3 4 4 4 4 3 3 5 4
[136,] 4 3 5 5 5 1 1 1 3
[137,] 3 2 4 2 3 2 2 2 2
[138,] 4 4 4 4 4 4 4 4 4
[139,] 3 4 4 4 4 4 4 4 4
[140,] 3 4 4 4 3 3 2 2 2
[141,] 2 2 4 2 3 2 2 2 2
[142,] 2 2 2 1 1 1 1 1 1
[143,] 2 2 2 2 2 2 2 1 2
[144,] 3 2 2 2 3 2 1 1 1
[145,] 3 3 2 2 2 1 2 2 1
[146,] 2 4 5 4 3 3 1 1 2
[147,] 2 2 2 2 2 1 2 1 2
[148,] 2 3 3 4 4 3 2 2 3
[149,] 3 4 4 2 4 2 4 1 2
[150,] 3 3 3 2 2 1 5 3 4
[151,] 5 5 4 3 3 3 4 3 3
[152,] 2 1 2 2 2 2 1 1 1
[153,] 3 2 2 2 2 2 2 2 2
[154,] 4 3 2 3 4 4 2 2 4
[155,] 1 2 1 1 4 2 1 1 1
[156,] 3 2 3 2 3 2 2 2 2
[157,] 1 2 2 2 5 2 3 1 2
[158,] 3 4 3 4 3 4 3 3 4
[159,] 1 3 5 2 5 5 4 1 3
[160,] 3 3 2 2 3 2 3 2 2
[161,] 3 2 2 1 1 1 1 1 2
[162,] 3 5 2 2 5 2 5 3 2
[163,] 4 5 3 2 5 1 3 1 3
[164,] 1 3 3 3 4 3 1 2 2
[165,] 2 5 4 2 2 1 5 2 3
[166,] 2 3 2 1 2 1 1 1 1
[167,] 4 3 3 4 3 2 2 2 2
[168,] 2 1 1 1 3 1 1 1 1
[169,] 2 4 2 2 3 2 3 3 2
[170,] 4 3 3 3 4 3 3 3 3
[171,] 2 2 2 2 2 2 2 2 2
[172,] 3 3 4 3 4 3 2 2 2
[173,] 3 4 3 2 4 2 2 2 2
[174,] 3 5 3 4 5 2 5 1 3
[175,] 3 5 5 4 5 4 5 3 4
[176,] 3 3 2 2 4 2 2 1 2
[177,] 1 2 2 1 1 1 1 1 1
[178,] 3 1 1 2 4 2 1 1 1
[179,] 3 1 1 1 1 1 1 1 1
[180,] 4 5 1 1 5 4 5 1 4
[181,] 3 4 4 3 3 2 2 1 2
[182,] 2 2 2 2 2 2 2 2 2
[183,] 1 4 1 1 1 1 1 1 1
[184,] 3 4 4 2 4 3 3 2 4
[185,] 2 3 2 2 3 2 1 2 2
[186,] 5 1 1 1 2 1 1 1 1
[187,] 4 4 2 2 4 2 4 2 2
[188,] 3 2 3 2 2 2 3 2 2
[189,] 2 2 2 2 2 2 2 3 2
[190,] 1 1 1 1 1 1 1 1 1
[191,] 2 2 3 2 2 2 3 4 4
[192,] 3 1 4 3 2 4 1 2 3
[193,] 2 2 3 1 1 1 2 2 2
[194,] 3 4 4 3 4 3 2 3 3
[195,] 4 2 3 4 5 3 2 1 3
[196,] 4 4 4 4 3 3 4 2 4
[197,] 2 2 1 1 2 1 1 1 1
[198,] 1 1 1 1 2 1 1 1 1
[199,] 2 2 2 2 2 2 2 2 2
[200,] 1 2 2 2 2 2 1 1 2
[201,] 2 4 4 3 4 3 4 1 3
[202,] 2 5 1 1 2 2 1 1 1
STARS34 STARS35 STARS36 STARS37 STARS38 STARS39 STARS40 STARS41 STARS42
[1,] 4 4 2 4 3 2 4 4 3
[2,] 4 4 5 5 5 4 5 4 4
[3,] 4 4 4 4 4 4 4 2 4
[4,] 4 2 1 2 4 5 5 4 2
[5,] 1 1 1 1 3 1 1 1 1
[6,] 1 1 5 1 5 4 3 1 1
[7,] 1 1 2 2 1 2 2 2 3
[8,] 2 2 2 2 2 2 2 2 2
[9,] 2 2 2 2 2 5 2 2 2
[10,] 1 1 1 1 3 1 1 1 1
[11,] 2 1 2 4 1 4 3 1 2
[12,] 2 2 2 2 1 2 2 2 2
[13,] 5 3 5 4 4 2 5 3 3
[14,] 4 5 5 5 2 4 5 1 5
[15,] 2 1 1 5 1 2 4 1 2
[16,] 2 2 4 4 4 4 4 2 2
[17,] 1 1 5 1 5 3 1 1 1
[18,] 1 1 3 2 1 2 3 2 1
[19,] 2 2 3 3 2 3 2 3 2
[20,] 2 4 3 2 2 2 2 3 3
[21,] 1 1 1 1 1 2 1 1 1
[22,] 4 2 4 4 2 5 2 2 3
[23,] 5 3 5 3 5 5 2 1 3
[24,] 4 3 4 4 2 4 3 4 3
[25,] 1 2 1 4 2 1 4 2 2
[26,] 1 1 3 1 1 1 1 3 3
[27,] 1 1 3 2 2 3 3 2 2
[28,] 1 2 3 2 2 2 1 1 2
[29,] 1 1 4 2 1 1 2 1 1
[30,] 2 1 3 3 1 2 1 1 2
[31,] 4 3 4 3 3 3 3 3 3
[32,] 3 1 3 1 4 3 4 4 3
[33,] 2 2 4 3 2 1 1 1 2
[34,] 2 2 2 4 2 2 2 2 2
[35,] 4 2 4 2 1 2 2 1 1
[36,] 2 2 2 2 1 1 1 1 1
[37,] 2 3 2 3 2 2 2 2 3
[38,] 2 1 2 2 3 2 2 2 2
[39,] 2 2 4 3 2 4 2 1 2
[40,] 3 2 2 3 3 3 3 3 2
[41,] 1 1 3 3 3 4 2 1 1
[42,] 2 2 3 4 3 4 3 2 2
[43,] 2 2 2 2 2 2 1 2 2
[44,] 1 3 2 2 1 3 2 1 1
[45,] 3 3 3 3 3 3 3 3 3
[46,] 1 1 2 3 1 3 1 1 1
[47,] 3 3 3 3 2 3 3 3 3
[48,] 1 1 2 2 1 3 2 1 1
[49,] 5 5 2 3 3 4 5 5 4
[50,] 1 1 1 1 1 1 3 1 1
[51,] 1 1 1 1 2 2 1 1 1
[52,] 5 5 5 5 5 5 5 3 2
[53,] 4 2 4 3 4 4 4 3 3
[54,] 2 2 2 2 2 4 1 1 2
[55,] 2 2 2 2 2 2 2 2 2
[56,] 3 2 4 4 4 3 4 4 4
[57,] 3 3 3 3 3 4 3 3 3
[58,] 2 2 3 1 3 4 4 1 1
[59,] 3 3 3 3 3 3 3 3 3
[60,] 2 2 2 3 2 2 1 2 2
[61,] 1 1 2 2 2 2 3 3 3
[62,] 5 4 4 4 4 3 5 4 4
[63,] 4 2 4 4 2 4 4 4 2
[64,] 4 4 5 4 3 5 5 5 5
[65,] 3 3 4 4 4 4 3 2 3
[66,] 5 2 5 5 5 5 5 4 4
[67,] 1 1 2 2 2 3 2 1 1
[68,] 1 1 4 1 3 3 1 1 1
[69,] 2 2 3 3 3 3 3 3 3
[70,] 5 4 3 4 4 3 5 4 5
[71,] 2 1 1 3 1 4 2 3 2
[72,] 1 1 3 2 2 2 2 2 3
[73,] 1 3 3 3 3 3 3 3 3
[74,] 4 3 3 3 1 3 2 2 2
[75,] 4 4 2 3 3 4 4 4 3
[76,] 2 1 3 1 1 2 1 1 1
[77,] 4 1 3 5 5 4 5 1 3
[78,] 5 5 5 5 5 5 5 5 5
[79,] 2 1 2 2 1 1 2 1 1
[80,] 4 3 4 4 4 4 4 3 3
[81,] 5 2 4 4 4 4 3 3 2
[82,] 1 1 1 1 1 1 1 1 1
[83,] 1 1 1 2 1 2 1 2 2
[84,] 1 1 1 1 1 3 4 1 1
[85,] 2 3 2 2 2 3 3 2 2
[86,] 4 1 3 4 3 3 4 1 1
[87,] 1 1 3 1 1 1 1 1 1
[88,] 2 2 1 3 1 3 5 1 1
[89,] 1 1 1 3 1 1 1 1 1
[90,] 2 1 2 4 3 2 4 1 1
[91,] 3 4 5 3 3 3 4 4 4
[92,] 5 3 4 5 5 5 5 3 3
[93,] 3 5 2 5 5 1 5 2 2
[94,] 3 2 4 4 3 4 2 3 3
[95,] 3 3 5 5 5 5 5 1 1
[96,] 2 2 1 2 1 1 2 1 4
[97,] 5 2 3 3 4 4 5 2 1
[98,] 3 3 3 2 3 3 3 3 4
[99,] 2 2 2 2 3 3 2 2 2
[100,] 5 1 2 4 3 3 3 1 1
[101,] 4 4 4 4 3 3 5 3 4
[102,] 5 2 3 3 4 4 4 2 2
[103,] 1 1 3 1 1 1 1 1 1
[104,] 2 2 2 2 2 2 3 3 3
[105,] 1 1 1 3 1 1 3 1 1
[106,] 1 1 4 2 1 2 1 1 1
[107,] 3 1 2 3 2 2 3 2 2
[108,] 5 1 2 4 4 5 1 1 1
[109,] 1 1 3 1 1 1 1 2 1
[110,] 2 2 2 2 2 2 2 2 2
[111,] 1 1 3 1 1 1 1 1 1
[112,] 5 1 5 3 5 3 5 1 1
[113,] 4 4 4 3 4 4 4 3 4
[114,] 3 5 5 5 5 5 5 3 3
[115,] 4 3 1 4 3 4 2 1 1
[116,] 2 1 3 1 3 4 3 3 3
[117,] 1 1 4 1 2 1 5 3 4
[118,] 3 2 3 4 3 2 3 4 4
[119,] 3 1 1 5 1 5 2 1 1
[120,] 2 2 3 5 1 1 4 3 2
[121,] 4 5 5 5 5 5 5 1 1
[122,] 3 3 3 4 3 3 3 3 3
[123,] 4 4 2 5 4 2 5 2 4
[124,] 1 1 1 1 1 2 3 1 1
[125,] 1 1 1 3 1 1 2 2 2
[126,] 4 1 3 5 4 2 3 1 1
[127,] 1 1 3 2 2 2 2 2 3
[128,] 4 3 3 3 3 2 3 3 4
[129,] 3 4 3 5 1 3 2 1 1
[130,] 4 2 2 4 3 4 4 2 3
[131,] 3 4 3 5 3 3 5 3 3
[132,] 5 1 4 4 4 4 2 1 1
[133,] 1 1 3 1 1 2 2 1 1
[134,] 1 2 2 4 2 4 1 1 1
[135,] 4 4 3 4 3 4 3 4 3
[136,] 1 1 1 1 1 3 3 1 5
[137,] 2 2 2 2 1 3 3 3 3
[138,] 4 4 4 4 4 4 4 4 4
[139,] 4 3 3 3 3 4 3 3 4
[140,] 3 2 2 2 3 3 2 2 2
[141,] 2 2 1 2 1 2 2 1 2
[142,] 1 1 2 1 1 1 2 2 2
[143,] 2 2 2 2 2 2 2 2 2
[144,] 1 1 2 3 2 2 1 1 2
[145,] 2 2 2 2 2 2 3 2 2
[146,] 4 2 2 1 2 2 2 1 2
[147,] 2 1 2 2 2 2 1 2 2
[148,] 3 4 4 4 3 3 3 3 4
[149,] 5 5 2 5 5 3 5 1 2
[150,] 4 3 3 2 3 4 1 3 3
[151,] 2 4 3 4 3 4 3 2 2
[152,] 1 1 3 1 1 1 1 1 2
[153,] 2 2 2 2 2 2 2 2 2
[154,] 2 2 4 4 4 2 4 2 4
[155,] 1 1 1 1 1 1 1 1 1
[156,] 2 3 3 2 2 4 3 2 2
[157,] 5 2 5 5 1 5 5 1 1
[158,] 3 3 3 3 3 4 3 3 3
[159,] 3 5 3 5 2 3 5 2 3
[160,] 3 2 2 3 2 3 1 1 2
[161,] 2 1 1 2 1 2 1 1 1
[162,] 5 2 5 5 5 5 5 2 2
[163,] 5 3 4 4 3 4 3 3 2
[164,] 2 2 2 2 2 2 2 2 2
[165,] 4 4 4 4 5 3 5 2 2
[166,] 1 1 1 2 1 1 1 1 1
[167,] 2 2 3 2 3 3 3 2 3
[168,] 1 1 1 1 1 1 1 1 1
[169,] 2 4 4 2 4 5 4 2 2
[170,] 4 1 1 2 2 3 3 3 3
[171,] 2 2 2 2 2 2 2 2 2
[172,] 3 2 2 4 2 4 4 2 2
[173,] 5 5 5 5 5 5 5 2 2
[174,] 5 3 5 5 5 3 4 1 3
[175,] 5 5 5 5 5 2 5 4 3
[176,] 2 2 3 3 2 3 3 2 2
[177,] 1 1 1 2 1 2 2 1 1
[178,] 1 1 3 1 1 1 1 1 1
[179,] 1 1 3 1 1 3 3 1 1
[180,] 5 2 4 5 5 5 5 1 1
[181,] 4 2 3 3 4 4 4 2 3
[182,] 2 2 3 2 1 3 2 2 2
[183,] 1 1 1 1 1 1 1 1 1
[184,] 3 4 3 4 3 4 5 3 4
[185,] 2 2 1 4 2 3 2 1 2
[186,] 1 1 1 4 1 2 4 1 1
[187,] 4 4 1 4 2 4 4 2 2
[188,] 2 2 4 4 2 4 3 2 2
[189,] 3 2 4 2 1 3 2 2 2
[190,] 1 1 1 2 1 1 1 1 1
[191,] 5 4 2 2 2 2 5 2 4
[192,] 2 4 2 4 2 3 4 2 2
[193,] 1 2 4 5 1 2 4 1 2
[194,] 3 3 3 4 2 3 4 2 3
[195,] 2 2 4 4 5 4 5 3 3
[196,] 1 4 4 3 3 2 4 2 4
[197,] 1 2 1 1 1 1 1 1 2
[198,] 1 1 4 1 1 1 1 1 1
[199,] 2 2 2 2 2 2 3 2 2
[200,] 3 3 2 2 2 4 3 1 2
[201,] 4 2 4 5 4 4 4 4 4
[202,] 1 1 2 1 3 4 1 1 1
STARS43 STARS44 STARS45 STARS46 STARS47 STARS48 STARS49 STARS50 STARS51
[1,] 2 2 3 2 2 3 3 4 3
[2,] 5 5 2 4 4 2 4 5 4
[3,] 4 4 4 4 4 4 4 4 4
[4,] 4 4 2 4 4 2 2 2 4
[5,] 1 1 1 1 1 3 1 1 2
[6,] 1 4 1 1 1 5 2 1 3
[7,] 2 4 1 2 2 2 2 2 1
[8,] 2 2 2 2 2 2 2 2 2
[9,] 2 5 4 2 2 4 2 2 2
[10,] 1 1 2 1 3 1 1 1 5
[11,] 1 2 2 1 2 4 2 1 2
[12,] 2 3 3 2 1 2 2 2 2
[13,] 4 5 5 2 3 2 4 2 5
[14,] 5 5 5 2 2 5 5 5 5
[15,] 1 4 3 1 1 2 1 1 1
[16,] 4 3 2 2 2 4 2 2 3
[17,] 1 1 1 1 3 5 5 1 1
[18,] 2 4 2 3 2 4 2 2 3
[19,] 3 4 3 3 3 4 2 3 3
[20,] 2 3 3 3 3 2 2 2 2
[21,] 1 1 3 1 1 4 1 1 1
[22,] 1 2 3 1 2 4 3 2 3
[23,] 3 3 5 1 3 5 1 1 2
[24,] 4 3 4 3 4 3 3 2 4
[25,] 4 4 2 4 4 2 2 2 2
[26,] 2 2 1 2 2 3 3 3 1
[27,] 2 3 2 1 1 2 2 1 1
[28,] 2 3 2 2 2 3 2 1 3
[29,] 2 2 1 1 1 1 2 1 1
[30,] 4 3 4 3 3 4 2 1 2
[31,] 3 3 3 3 3 3 3 3 3
[32,] 4 3 3 4 3 3 4 3 4
[33,] 1 4 2 4 1 1 1 1 3
[34,] 3 3 2 3 2 3 2 2 2
[35,] 4 4 3 1 1 2 1 1 2
[36,] 2 4 2 2 1 1 1 1 1
[37,] 2 2 2 2 2 3 2 3 2
[38,] 4 2 2 4 2 4 2 2 5
[39,] 2 3 2 3 3 4 3 2 3
[40,] 3 2 3 3 2 3 3 2 3
[41,] 1 1 1 1 1 4 1 1 2
[42,] 2 3 3 4 4 3 3 2 3
[43,] 2 2 2 2 2 2 2 2 2
[44,] 4 3 3 3 1 4 2 2 3
[45,] 3 3 3 3 3 3 3 3 1
[46,] 1 1 3 1 1 4 1 1 1
[47,] 2 2 2 3 4 3 3 3 3
[48,] 1 3 2 1 1 1 1 1 1
[49,] 2 2 3 3 2 2 1 1 5
[50,] 1 1 1 1 1 1 1 1 1
[51,] 1 1 2 1 1 2 1 1 1
[52,] 3 4 4 2 3 4 5 3 5
[53,] 1 4 4 1 3 4 3 4 5
[54,] 2 4 2 2 2 2 3 2 4
[55,] 2 3 3 2 1 3 2 2 2
[56,] 4 4 4 2 3 3 3 4 3
[57,] 2 2 2 2 2 2 2 2 3
[58,] 1 3 3 1 1 4 2 1 1
[59,] 3 3 3 3 3 3 3 3 3
[60,] 1 1 2 1 2 4 2 2 2
[61,] 2 3 2 2 1 3 3 2 2
[62,] 5 4 5 4 5 5 4 5 5
[63,] 2 2 4 4 4 4 2 2 3
[64,] 2 4 4 3 4 5 5 5 4
[65,] 4 3 4 3 3 3 3 2 5
[66,] 3 5 5 3 3 5 3 3 5
[67,] 1 1 1 1 1 1 1 1 1
[68,] 1 4 1 1 1 1 1 1 3
[69,] 3 3 2 3 3 2 2 2 2
[70,] 2 5 5 1 2 5 4 4 4
[71,] 2 2 1 4 2 4 3 2 2
[72,] 2 2 2 2 2 2 2 2 2
[73,] 3 3 3 3 3 3 3 3 3
[74,] 3 4 1 1 1 3 2 2 1
[75,] 2 5 5 1 5 3 3 3 5
[76,] 3 3 3 2 2 4 2 1 1
[77,] 3 1 4 1 1 4 2 2 5
[78,] 3 5 5 5 5 5 5 5 5
[79,] 1 2 1 1 1 1 2 1 1
[80,] 4 3 3 3 3 4 3 4 4
[81,] 4 4 4 4 1 3 3 2 2
[82,] 1 1 1 1 1 1 1 1 1
[83,] 2 2 1 1 1 1 1 1 1
[84,] 1 1 1 2 2 2 2 2 2
[85,] 2 2 2 2 2 3 2 2 2
[86,] 3 2 4 3 2 4 2 1 2
[87,] 1 1 1 1 1 1 1 1 1
[88,] 2 4 3 2 3 3 1 1 1
[89,] 2 1 1 1 1 1 1 1 1
[90,] 3 3 2 3 2 3 2 1 2
[91,] 4 5 4 4 4 4 3 3 3
[92,] 4 5 3 3 3 5 3 3 5
[93,] 3 3 2 3 3 5 3 3 5
[94,] 4 2 4 4 5 3 2 4 3
[95,] 4 2 1 5 1 4 1 1 3
[96,] 1 2 3 1 2 2 1 2 2
[97,] 2 2 4 2 2 5 3 2 4
[98,] 3 3 2 3 3 3 2 3 2
[99,] 4 4 3 3 2 4 3 2 4
[100,] 4 2 1 3 1 1 1 1 1
[101,] 3 3 3 2 3 3 3 4 2
[102,] 3 4 3 5 3 4 3 2 4
[103,] 1 4 1 4 2 1 1 1 1
[104,] 2 3 2 2 2 2 2 2 2
[105,] 1 1 1 1 1 1 1 1 1
[106,] 1 3 1 1 1 3 1 1 1
[107,] 2 1 2 2 2 3 2 2 2
[108,] 4 2 3 2 3 3 1 1 4
[109,] 1 1 1 3 1 2 1 1 1
[110,] 2 2 2 2 2 2 2 2 2
[111,] 1 1 1 1 1 1 1 1 1
[112,] 5 3 3 5 5 3 1 1 5
[113,] 3 4 3 4 3 4 3 4 4
[114,] 3 3 5 4 5 5 5 3 5
[115,] 3 4 2 1 1 4 2 2 3
[116,] 2 3 3 3 3 3 2 3 2
[117,] 3 4 2 1 1 2 2 2 3
[118,] 3 3 2 4 3 3 3 2 3
[119,] 2 4 4 3 3 4 1 1 2
[120,] 1 3 3 1 1 2 2 2 1
[121,] 1 1 4 2 2 4 4 4 2
[122,] 4 3 3 3 3 4 2 2 3
[123,] 2 4 3 2 4 2 4 2 2
[124,] 5 1 5 5 1 2 1 1 2
[125,] 1 1 3 1 1 1 2 1 1
[126,] 4 2 5 3 3 2 2 1 4
[127,] 2 4 2 1 1 3 2 1 1
[128,] 4 3 3 3 3 3 3 3 4
[129,] 5 5 3 4 4 3 3 3 4
[130,] 2 4 4 4 3 4 3 2 2
[131,] 1 3 2 1 1 3 5 3 2
[132,] 2 4 4 4 3 3 1 1 4
[133,] 2 3 1 4 2 2 1 1 1
[134,] 3 2 1 2 2 2 2 2 2
[135,] 3 3 4 3 4 4 3 3 4
[136,] 1 1 1 1 1 1 5 5 1
[137,] 2 2 2 2 2 2 2 2 2
[138,] 4 4 4 4 4 4 4 4 4
[139,] 3 3 4 3 4 4 3 4 4
[140,] 2 2 3 2 2 2 3 2 2
[141,] 2 3 3 2 1 3 1 2 2
[142,] 1 2 1 1 1 3 2 2 1
[143,] 2 2 2 2 2 2 2 2 2
[144,] 1 3 1 1 1 2 2 2 2
[145,] 2 2 2 2 2 2 2 2 2
[146,] 1 4 2 2 2 4 2 1 2
[147,] 2 2 1 1 1 1 2 2 1
[148,] 3 3 4 3 3 3 3 3 3
[149,] 3 2 4 2 5 2 2 2 5
[150,] 1 2 2 3 4 3 3 3 4
[151,] 3 3 3 3 3 4 3 3 3
[152,] 1 1 1 1 1 1 1 1 1
[153,] 2 2 2 2 2 3 2 2 2
[154,] 4 4 5 4 4 2 4 4 4
[155,] 1 1 1 1 1 1 1 1 1
[156,] 2 3 3 3 3 4 4 3 4
[157,] 2 2 5 4 1 5 1 2 3
[158,] 4 3 3 2 3 3 3 3 3
[159,] 2 3 4 1 1 3 4 3 2
[160,] 2 3 2 3 2 3 2 2 3
[161,] 2 3 2 2 1 3 2 2 2
[162,] 2 5 5 5 5 5 2 2 5
[163,] 1 3 4 4 3 4 3 2 5
[164,] 2 3 2 2 2 2 2 2 2
[165,] 3 2 3 2 4 3 1 2 4
[166,] 2 1 1 4 2 2 2 2 2
[167,] 3 3 2 4 3 3 3 2 3
[168,] 3 4 1 1 1 2 1 1 2
[169,] 4 4 2 4 4 5 4 2 4
[170,] 4 3 3 3 3 4 2 2 2
[171,] 2 2 2 2 2 2 2 2 2
[172,] 2 2 4 3 3 4 3 3 3
[173,] 3 3 5 3 3 3 2 2 4
[174,] 4 4 5 3 2 4 4 3 4
[175,] 4 4 5 2 4 5 5 5 5
[176,] 1 2 1 1 1 2 1 2 1
[177,] 1 3 1 1 1 3 1 1 1
[178,] 1 1 1 2 2 2 5 1 2
[179,] 1 1 1 1 1 1 1 1 1
[180,] 5 5 1 4 5 5 5 1 4
[181,] 2 3 4 3 2 5 4 3 3
[182,] 2 2 2 2 2 3 2 2 2
[183,] 1 1 1 1 1 1 1 1 3
[184,] 4 4 5 4 4 4 2 3 4
[185,] 4 2 1 2 2 2 3 2 2
[186,] 1 1 1 1 1 1 1 1 1
[187,] 2 4 4 4 2 4 3 2 4
[188,] 2 2 2 2 2 2 2 3 2
[189,] 3 2 3 3 3 3 2 2 1
[190,] 1 1 1 1 1 1 2 1 1
[191,] 2 4 3 5 3 2 3 2 4
[192,] 2 2 3 2 2 2 3 3 2
[193,] 4 5 1 5 2 2 2 2 1
[194,] 3 4 3 3 3 3 3 3 2
[195,] 5 5 4 4 3 5 3 4 3
[196,] 2 3 4 4 3 3 4 4 4
[197,] 1 2 1 1 1 3 2 2 1
[198,] 1 4 1 1 1 1 1 1 1
[199,] 1 2 2 2 2 2 2 2 2
[200,] 1 1 1 1 1 4 3 2 1
[201,] 5 4 5 3 4 4 4 4 5
[202,] 1 1 1 1 1 2 1 1 1
$redundant
$redundant$STARS08
[1] "STARS01" "STARS10"
$redundant$STARS03
[1] "STARS16"
$redundant$STARS30
[1] "STARS32"
$redundant$STARS02
[1] "STARS06"
$redundant$STARS09
[1] "STARS17"
$network
STARS01 STARS02 STARS03 STARS04 STARS05 STARS06
STARS01 0.000000000 0.022354941 0.000000000 0.137955970 0.00000000 0.00000000
STARS02 0.022354941 0.000000000 0.000000000 0.000000000 0.04264863 0.42755875
STARS03 0.000000000 0.000000000 0.000000000 0.006723123 0.00000000 0.00000000
STARS04 0.137955970 0.000000000 0.006723123 0.000000000 0.15435573 0.00000000
STARS05 0.000000000 0.042648629 0.000000000 0.154355729 0.00000000 0.14261274
STARS06 0.000000000 0.427558748 0.000000000 0.000000000 0.14261274 0.00000000
STARS07 0.000000000 0.000000000 0.010554512 0.168351907 0.22298436 0.00000000
STARS08 0.398792909 0.012249564 0.000000000 0.000000000 0.00000000 0.00000000
STARS09 0.000000000 0.021650428 0.014051446 0.000000000 0.07725943 0.07971301
STARS10 0.051799470 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS11 0.003608735 0.092495796 0.000000000 0.030438023 0.14552139 0.00000000
STARS12 0.000000000 0.026803744 0.000000000 0.039984545 0.00000000 0.07707718
STARS13 0.000000000 0.004886529 0.000000000 0.163847950 0.00000000 0.00000000
STARS14 0.000000000 0.000000000 0.000000000 0.063585459 0.15147008 0.00000000
STARS15 0.071244814 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS16 0.000000000 0.000000000 0.612450067 0.029137967 0.00000000 0.00000000
STARS17 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.03221667
STARS18 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS19 0.000000000 0.000000000 0.000000000 0.000000000 0.10941849 0.00000000
STARS20 0.000000000 0.236761206 0.000000000 0.000000000 0.00000000 0.24409272
STARS21 0.059470837 0.000000000 0.000000000 0.079592759 0.00000000 0.00000000
STARS22 0.051917947 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS23 0.000000000 0.000000000 0.027832776 0.000000000 0.00000000 0.00000000
STARS24 0.000000000 0.000000000 0.000000000 0.000000000 0.03528820 0.00000000
STARS25 0.060057775 0.000000000 0.000000000 0.103989683 0.01678350 0.00000000
STARS26 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS27 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS28 0.000000000 0.000000000 0.000000000 0.007967006 0.00000000 0.00000000
STARS29 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS30 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS31 0.000000000 0.000000000 0.031204927 0.000000000 0.00000000 0.00000000
STARS32 -0.061266786 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS33 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS34 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS35 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS36 0.000000000 0.000000000 0.000000000 0.025195846 0.00000000 0.00000000
STARS37 0.054734310 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS38 0.003733013 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS39 0.017040920 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS40 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS41 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS42 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS43 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS44 0.000000000 0.000000000 0.031171780 0.000000000 0.00000000 0.00000000
STARS45 0.006332598 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS46 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS47 0.000000000 0.000000000 0.000000000 0.000000000 0.04404615 0.02231990
STARS48 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS49 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS50 0.000000000 0.000000000 0.000000000 0.000000000 0.00000000 0.00000000
STARS51 0.065527953 0.000000000 0.078550184 0.014987772 0.02304731 0.00000000
STARS07 STARS08 STARS09 STARS10 STARS11
STARS01 0.000000000 0.398792909 0.000000000 0.051799470 0.003608735
STARS02 0.000000000 0.012249564 0.021650428 0.000000000 0.092495796
STARS03 0.010554512 0.000000000 0.014051446 0.000000000 0.000000000
STARS04 0.168351907 0.000000000 0.000000000 0.000000000 0.030438023
STARS05 0.222984356 0.000000000 0.077259431 0.000000000 0.145521392
STARS06 0.000000000 0.000000000 0.079713010 0.000000000 0.000000000
STARS07 0.000000000 0.086523472 0.000000000 0.000000000 0.093383032
STARS08 0.086523472 0.000000000 0.000000000 0.357333502 0.012846063
STARS09 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS10 0.000000000 0.357333502 0.000000000 0.000000000 0.026896867
STARS11 0.093383032 0.012846063 0.000000000 0.026896867 0.000000000
STARS12 0.000000000 0.028985916 0.006554067 0.000000000 0.278903702
STARS13 0.095231214 0.124220877 0.000000000 0.040063710 0.000000000
STARS14 0.000000000 0.000000000 0.001078899 0.000000000 0.043421885
STARS15 0.018566328 0.050252203 0.000000000 0.287013513 0.000000000
STARS16 0.001710234 0.000000000 0.000000000 0.000000000 0.000000000
STARS17 0.000000000 -0.142163445 0.406525725 -0.050898155 0.000000000
STARS18 0.000000000 0.000000000 0.051449495 0.000000000 0.000000000
STARS19 0.000000000 0.000000000 0.037606456 0.000000000 0.008100348
STARS20 0.000000000 0.000000000 0.100057186 0.000000000 0.000000000
STARS21 0.000000000 0.003574232 0.000000000 0.000000000 0.043892484
STARS22 0.027354505 0.090022478 0.000000000 0.060249713 0.000000000
STARS23 0.000000000 0.000000000 0.000000000 0.000000000 0.051470830
STARS24 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS25 0.000000000 0.008703639 0.000000000 0.000000000 0.016396080
STARS26 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS27 0.000000000 -0.085159155 0.024707381 0.000000000 0.000000000
STARS28 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS29 0.000000000 0.000000000 0.000000000 -0.014320284 0.000000000
STARS30 0.000000000 -0.001813423 0.000000000 0.000000000 0.000000000
STARS31 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS32 0.000000000 -0.050917725 0.000000000 -0.013189268 0.000000000
STARS33 0.000000000 0.000000000 0.000000000 -0.005965901 0.000000000
STARS34 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS35 0.000000000 0.000000000 0.000000000 -0.005101668 0.000000000
STARS36 0.000000000 0.021018313 0.000000000 0.000000000 0.000000000
STARS37 0.000000000 0.000000000 -0.009520837 0.000000000 0.019941545
STARS38 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS39 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS40 0.000000000 0.000000000 0.000000000 0.023969957 0.000000000
STARS41 -0.023146478 0.000000000 0.006415450 0.000000000 0.000000000
STARS42 0.000000000 -0.019078817 0.014832386 -0.020894348 0.000000000
STARS43 0.000000000 0.000000000 0.000000000 0.000000000 0.016886612
STARS44 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS45 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS46 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS47 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS48 0.000000000 0.037768118 0.000000000 0.000000000 0.000000000
STARS49 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS50 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS51 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS12 STARS13 STARS14 STARS15 STARS16
STARS01 0.000000000 0.000000000 0.000000000 0.071244814 0.0000000000
STARS02 0.026803744 0.004886529 0.000000000 0.000000000 0.0000000000
STARS03 0.000000000 0.000000000 0.000000000 0.000000000 0.6124500667
STARS04 0.039984545 0.163847950 0.063585459 0.000000000 0.0291379668
STARS05 0.000000000 0.000000000 0.151470084 0.000000000 0.0000000000
STARS06 0.077077184 0.000000000 0.000000000 0.000000000 0.0000000000
STARS07 0.000000000 0.095231214 0.000000000 0.018566328 0.0017102343
STARS08 0.028985916 0.124220877 0.000000000 0.050252203 0.0000000000
STARS09 0.006554067 0.000000000 0.001078899 0.000000000 0.0000000000
STARS10 0.000000000 0.040063710 0.000000000 0.287013513 0.0000000000
STARS11 0.278903702 0.000000000 0.043421885 0.000000000 0.0000000000
STARS12 0.000000000 0.127769499 0.144697836 0.000000000 0.0000000000
STARS13 0.127769499 0.000000000 0.101157823 0.115605838 0.0000000000
STARS14 0.144697836 0.101157823 0.000000000 0.005635263 0.0698997512
STARS15 0.000000000 0.115605838 0.005635263 0.000000000 0.0000000000
STARS16 0.000000000 0.000000000 0.069899751 0.000000000 0.0000000000
STARS17 0.041965041 0.000000000 0.055782990 0.000000000 0.0000000000
STARS18 0.060736178 0.190320470 0.014355979 0.057600211 0.0145608787
STARS19 0.000000000 0.000000000 0.000000000 0.000000000 0.1655359381
STARS20 0.205698008 0.000000000 0.014450787 0.000000000 0.0071363477
STARS21 0.005677676 0.000000000 0.064015693 0.240075924 0.0150298104
STARS22 0.000000000 0.000000000 0.109868449 0.155031197 0.0000000000
STARS23 0.000000000 0.000000000 0.000000000 0.000000000 0.2131532593
STARS24 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS25 0.000000000 0.000000000 0.000000000 0.097119765 0.0000000000
STARS26 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS27 0.000000000 -0.001316713 0.000000000 0.000000000 0.0000000000
STARS28 0.001363181 0.000000000 0.011030174 0.000000000 0.0000000000
STARS29 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS30 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS31 0.000000000 0.000000000 0.023604977 0.000000000 0.0174943743
STARS32 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS33 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS34 0.000000000 0.000000000 0.000000000 0.000000000 0.0131098564
STARS35 0.000000000 -0.001687419 0.000000000 0.000000000 0.0000000000
STARS36 0.000000000 0.000000000 0.094106259 0.000000000 0.0000000000
STARS37 0.000000000 0.006646843 0.000000000 0.000000000 0.0031423266
STARS38 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS39 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS40 0.000000000 0.000000000 0.000000000 0.038067764 0.0000000000
STARS41 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS42 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS43 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS44 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS45 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS46 0.000000000 0.000000000 0.000000000 0.000000000 0.0101203770
STARS47 0.043238915 0.000000000 0.000000000 0.000000000 0.0008985985
STARS48 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS49 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS50 0.000000000 0.000000000 0.000000000 0.000000000 0.0000000000
STARS51 0.000000000 0.044045665 0.000000000 0.000000000 0.0000000000
STARS17 STARS18 STARS19 STARS20 STARS21
STARS01 0.00000000 0.000000000 0.000000000 0.000000000 0.059470837
STARS02 0.00000000 0.000000000 0.000000000 0.236761206 0.000000000
STARS03 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS04 0.00000000 0.000000000 0.000000000 0.000000000 0.079592759
STARS05 0.00000000 0.000000000 0.109418495 0.000000000 0.000000000
STARS06 0.03221667 0.000000000 0.000000000 0.244092721 0.000000000
STARS07 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS08 -0.14216345 0.000000000 0.000000000 0.000000000 0.003574232
STARS09 0.40652572 0.051449495 0.037606456 0.100057186 0.000000000
STARS10 -0.05089815 0.000000000 0.000000000 0.000000000 0.000000000
STARS11 0.00000000 0.000000000 0.008100348 0.000000000 0.043892484
STARS12 0.04196504 0.060736178 0.000000000 0.205698008 0.005677676
STARS13 0.00000000 0.190320470 0.000000000 0.000000000 0.000000000
STARS14 0.05578299 0.014355979 0.000000000 0.014450787 0.064015693
STARS15 0.00000000 0.057600211 0.000000000 0.000000000 0.240075924
STARS16 0.00000000 0.014560879 0.165535938 0.007136348 0.015029810
STARS17 0.00000000 0.108858816 0.136343587 0.000000000 0.075830977
STARS18 0.10885882 0.000000000 0.249037624 0.027656537 0.024769366
STARS19 0.13634359 0.249037624 0.000000000 0.060490651 0.000000000
STARS20 0.00000000 0.027656537 0.060490651 0.000000000 0.000000000
STARS21 0.07583098 0.024769366 0.000000000 0.000000000 0.000000000
STARS22 0.00000000 0.000000000 0.000000000 0.000000000 0.183663214
STARS23 0.00000000 0.042002697 0.317853245 0.146154051 0.066847342
STARS24 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS25 0.00000000 0.000000000 0.000000000 0.000000000 0.044955291
STARS26 0.00000000 0.000000000 -0.026624553 0.000000000 0.000000000
STARS27 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS28 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS29 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS30 0.05689809 0.000000000 0.000000000 0.000000000 0.000000000
STARS31 0.02312132 0.000000000 0.000000000 0.000000000 0.036738358
STARS32 0.00000000 0.025075893 0.004356588 0.000000000 0.000000000
STARS33 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS34 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS35 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS36 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS37 -0.11137005 0.000000000 0.000000000 0.000000000 0.000000000
STARS38 0.00000000 0.000000000 0.000000000 0.000000000 0.057240151
STARS39 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS40 -0.02751168 0.000000000 0.000000000 0.000000000 0.000000000
STARS41 0.13223121 0.000000000 0.000000000 0.000000000 0.000000000
STARS42 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS43 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS44 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS45 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS46 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS47 0.00000000 0.003249344 0.037312457 0.000000000 0.000000000
STARS48 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS49 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS50 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS51 0.00000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS22 STARS23 STARS24 STARS25 STARS26 STARS27
STARS01 0.05191795 0.00000000 0.000000000 0.060057775 0.00000000 0.000000000
STARS02 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS03 0.00000000 0.02783278 0.000000000 0.000000000 0.00000000 0.000000000
STARS04 0.00000000 0.00000000 0.000000000 0.103989683 0.00000000 0.000000000
STARS05 0.00000000 0.00000000 0.035288203 0.016783497 0.00000000 0.000000000
STARS06 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS07 0.02735450 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS08 0.09002248 0.00000000 0.000000000 0.008703639 0.00000000 -0.085159155
STARS09 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.024707381
STARS10 0.06024971 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS11 0.00000000 0.05147083 0.000000000 0.016396080 0.00000000 0.000000000
STARS12 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS13 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 -0.001316713
STARS14 0.10986845 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS15 0.15503120 0.00000000 0.000000000 0.097119765 0.00000000 0.000000000
STARS16 0.00000000 0.21315326 0.000000000 0.000000000 0.00000000 0.000000000
STARS17 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS18 0.00000000 0.04200270 0.000000000 0.000000000 0.00000000 0.000000000
STARS19 0.00000000 0.31785324 0.000000000 0.000000000 -0.02662455 0.000000000
STARS20 0.00000000 0.14615405 0.000000000 0.000000000 0.00000000 0.000000000
STARS21 0.18366321 0.06684734 0.000000000 0.044955291 0.00000000 0.000000000
STARS22 0.00000000 0.05617664 0.000000000 0.000000000 0.00000000 0.000000000
STARS23 0.05617664 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS24 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.065397231
STARS25 0.00000000 0.00000000 0.000000000 0.000000000 0.03371287 0.000000000
STARS26 0.00000000 0.00000000 0.000000000 0.033712867 0.00000000 0.144044136
STARS27 0.00000000 0.00000000 0.065397231 0.000000000 0.14404414 0.000000000
STARS28 0.00000000 0.00000000 0.000000000 0.000000000 0.05083142 0.183606186
STARS29 -0.03381281 0.00000000 0.000000000 0.000000000 0.10336396 0.114161699
STARS30 0.00000000 0.00000000 0.125136717 0.000000000 0.00000000 0.000000000
STARS31 0.00000000 0.00000000 0.000000000 0.230772463 0.00000000 0.000000000
STARS32 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS33 0.00000000 0.00000000 0.032282557 0.000000000 0.02523753 0.057889204
STARS34 0.00000000 0.00000000 0.000000000 0.107433392 0.00000000 0.000000000
STARS35 0.00000000 0.00000000 0.000000000 0.000000000 0.03293251 0.000000000
STARS36 0.00000000 0.00000000 0.000000000 0.000000000 0.04183727 0.000000000
STARS37 0.00000000 0.00000000 0.000000000 0.029669069 0.00000000 0.000000000
STARS38 0.00000000 0.00000000 0.000000000 0.099508587 0.00000000 0.000000000
STARS39 0.00000000 0.00000000 0.000000000 0.016399003 0.00000000 0.000000000
STARS40 0.00000000 0.00000000 0.000000000 0.000000000 0.07438350 0.000000000
STARS41 0.00000000 0.00000000 0.060103054 0.000000000 0.01344802 0.029819865
STARS42 0.00000000 0.00000000 0.002029003 0.000000000 0.25479958 0.087078669
STARS43 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS44 0.00000000 0.00000000 0.006366770 0.035132186 0.00000000 0.000000000
STARS45 0.00000000 0.00000000 0.000000000 0.000000000 0.01397279 0.000000000
STARS46 0.00000000 0.00000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS47 0.00000000 0.00000000 0.117019876 0.000000000 0.00000000 0.000000000
STARS48 0.08466244 0.00000000 0.000000000 0.000000000 0.00997785 0.000000000
STARS49 0.00000000 0.01456336 0.037081141 0.000000000 0.10246386 0.043875339
STARS50 0.00000000 0.00000000 0.036951893 0.000000000 0.03409289 0.201678759
STARS51 0.00000000 0.00000000 0.000000000 0.004563220 0.00000000 0.000000000
STARS28 STARS29 STARS30 STARS31 STARS32
STARS01 0.000000000 0.000000000 0.000000000 0.000000000 -0.061266786
STARS02 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS03 0.000000000 0.000000000 0.000000000 0.031204927 0.000000000
STARS04 0.007967006 0.000000000 0.000000000 0.000000000 0.000000000
STARS05 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS06 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS07 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS08 0.000000000 0.000000000 -0.001813423 0.000000000 -0.050917725
STARS09 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS10 0.000000000 -0.014320284 0.000000000 0.000000000 -0.013189268
STARS11 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS12 0.001363181 0.000000000 0.000000000 0.000000000 0.000000000
STARS13 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS14 0.011030174 0.000000000 0.000000000 0.023604977 0.000000000
STARS15 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS16 0.000000000 0.000000000 0.000000000 0.017494374 0.000000000
STARS17 0.000000000 0.000000000 0.056898094 0.023121322 0.000000000
STARS18 0.000000000 0.000000000 0.000000000 0.000000000 0.025075893
STARS19 0.000000000 0.000000000 0.000000000 0.000000000 0.004356588
STARS20 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS21 0.000000000 0.000000000 0.000000000 0.036738358 0.000000000
STARS22 0.000000000 -0.033812815 0.000000000 0.000000000 0.000000000
STARS23 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS24 0.000000000 0.000000000 0.125136717 0.000000000 0.000000000
STARS25 0.000000000 0.000000000 0.000000000 0.230772463 0.000000000
STARS26 0.050831422 0.103363959 0.000000000 0.000000000 0.000000000
STARS27 0.183606186 0.114161699 0.000000000 0.000000000 0.000000000
STARS28 0.000000000 0.174080991 0.000000000 0.000000000 0.000000000
STARS29 0.174080991 0.000000000 0.000000000 0.000000000 0.000000000
STARS30 0.000000000 0.000000000 0.000000000 0.000000000 0.498525861
STARS31 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS32 0.000000000 0.000000000 0.498525861 0.000000000 0.000000000
STARS33 0.020025886 0.175453338 0.000000000 0.009257588 0.082514502
STARS34 0.000000000 0.000000000 0.000000000 0.241723586 0.000000000
STARS35 0.040162882 0.158719613 0.000000000 0.000000000 0.000000000
STARS36 0.017294351 0.000000000 0.000000000 0.047173558 0.000000000
STARS37 0.004911134 0.061412935 0.000000000 0.000000000 0.000000000
STARS38 0.000000000 0.000000000 0.000000000 0.091288918 0.000000000
STARS39 0.035754271 0.000000000 0.000000000 0.025816367 0.000000000
STARS40 0.000000000 0.004215175 0.000000000 0.000000000 0.000000000
STARS41 0.000000000 0.070866187 0.034156056 0.000000000 0.122779355
STARS42 0.000000000 0.000000000 0.000000000 0.000000000 0.000000000
STARS43 0.000000000 0.000000000 0.022987138 0.034771600 0.102053130
STARS44 0.010026186 0.000000000 0.000000000 0.000000000 0.000000000
STARS45 0.100822340 0.000000000 0.000000000 0.008480079 0.000000000
STARS46 0.000000000 0.000000000 0.138035755 0.091211377 0.000000000
STARS47 0.062487372 0.000000000 0.073586156 0.000000000 0.120508606
STARS48 0.037720924 0.000000000 0.000000000 0.000000000 0.000000000
STARS49 0.073651353 0.047608077 0.000000000 0.000000000 0.000000000
STARS50 0.000000000 0.102470958 0.057540806 0.000000000 0.000000000
STARS51 0.000000000 0.000000000 0.000000000 0.105593955 0.000000000
STARS33 STARS34 STARS35 STARS36 STARS37
STARS01 0.000000000 0.00000000 0.000000000 0.00000000 0.054734310
STARS02 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS03 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS04 0.000000000 0.00000000 0.000000000 0.02519585 0.000000000
STARS05 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS06 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS07 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS08 0.000000000 0.00000000 0.000000000 0.02101831 0.000000000
STARS09 0.000000000 0.00000000 0.000000000 0.00000000 -0.009520837
STARS10 -0.005965901 0.00000000 -0.005101668 0.00000000 0.000000000
STARS11 0.000000000 0.00000000 0.000000000 0.00000000 0.019941545
STARS12 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS13 0.000000000 0.00000000 -0.001687419 0.00000000 0.006646843
STARS14 0.000000000 0.00000000 0.000000000 0.09410626 0.000000000
STARS15 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS16 0.000000000 0.01310986 0.000000000 0.00000000 0.003142327
STARS17 0.000000000 0.00000000 0.000000000 0.00000000 -0.111370049
STARS18 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS19 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS20 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS21 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS22 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS23 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS24 0.032282557 0.00000000 0.000000000 0.00000000 0.000000000
STARS25 0.000000000 0.10743339 0.000000000 0.00000000 0.029669069
STARS26 0.025237530 0.00000000 0.032932513 0.04183727 0.000000000
STARS27 0.057889204 0.00000000 0.000000000 0.00000000 0.000000000
STARS28 0.020025886 0.00000000 0.040162882 0.01729435 0.004911134
STARS29 0.175453338 0.00000000 0.158719613 0.00000000 0.061412935
STARS30 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS31 0.009257588 0.24172359 0.000000000 0.04717356 0.000000000
STARS32 0.082514502 0.00000000 0.000000000 0.00000000 0.000000000
STARS33 0.000000000 0.04704589 0.143655969 0.03408549 0.000000000
STARS34 0.047045886 0.00000000 0.083628514 0.00000000 0.162608682
STARS35 0.143655969 0.08362851 0.000000000 0.00000000 0.129324459
STARS36 0.034085490 0.00000000 0.000000000 0.00000000 0.000000000
STARS37 0.000000000 0.16260868 0.129324459 0.00000000 0.000000000
STARS38 0.000000000 0.06347362 0.000000000 0.22051581 0.000000000
STARS39 0.009532793 0.14546670 0.000000000 0.05278145 0.070118466
STARS40 0.035177115 0.07200839 0.122283473 0.00000000 0.232998447
STARS41 0.099803959 0.00000000 0.000000000 0.00000000 0.000000000
STARS42 0.059611836 0.00000000 0.000000000 0.00000000 0.000000000
STARS43 0.000000000 0.00000000 0.000000000 0.00000000 0.110266429
STARS44 0.066818950 0.00000000 0.000000000 0.11653155 0.000000000
STARS45 0.022519168 0.20953008 0.009066532 0.00000000 0.088680705
STARS46 0.000000000 0.00000000 0.000000000 0.00000000 0.000000000
STARS47 0.167301653 0.00000000 0.000000000 0.00000000 0.000000000
STARS48 0.000000000 0.00000000 0.000000000 0.05263748 0.000000000
STARS49 0.125602739 0.00000000 0.006094500 0.02549574 0.000000000
STARS50 0.017858993 0.00000000 0.150376444 0.00000000 0.000000000
STARS51 0.000000000 0.06317418 0.071588599 0.00000000 0.000000000
STARS38 STARS39 STARS40 STARS41 STARS42
STARS01 0.003733013 0.017040920 0.000000000 0.00000000 0.000000000
STARS02 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS03 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS04 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS05 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS06 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS07 0.000000000 0.000000000 0.000000000 -0.02314648 0.000000000
STARS08 0.000000000 0.000000000 0.000000000 0.00000000 -0.019078817
STARS09 0.000000000 0.000000000 0.000000000 0.00641545 0.014832386
STARS10 0.000000000 0.000000000 0.023969957 0.00000000 -0.020894348
STARS11 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS12 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS13 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS14 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS15 0.000000000 0.000000000 0.038067764 0.00000000 0.000000000
STARS16 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS17 0.000000000 0.000000000 -0.027511681 0.13223121 0.000000000
STARS18 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS19 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS20 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS21 0.057240151 0.000000000 0.000000000 0.00000000 0.000000000
STARS22 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS23 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS24 0.000000000 0.000000000 0.000000000 0.06010305 0.002029003
STARS25 0.099508587 0.016399003 0.000000000 0.00000000 0.000000000
STARS26 0.000000000 0.000000000 0.074383503 0.01344802 0.254799578
STARS27 0.000000000 0.000000000 0.000000000 0.02981987 0.087078669
STARS28 0.000000000 0.035754271 0.000000000 0.00000000 0.000000000
STARS29 0.000000000 0.000000000 0.004215175 0.07086619 0.000000000
STARS30 0.000000000 0.000000000 0.000000000 0.03415606 0.000000000
STARS31 0.091288918 0.025816367 0.000000000 0.00000000 0.000000000
STARS32 0.000000000 0.000000000 0.000000000 0.12277936 0.000000000
STARS33 0.000000000 0.009532793 0.035177115 0.09980396 0.059611836
STARS34 0.063473624 0.145466695 0.072008393 0.00000000 0.000000000
STARS35 0.000000000 0.000000000 0.122283473 0.00000000 0.000000000
STARS36 0.220515812 0.052781453 0.000000000 0.00000000 0.000000000
STARS37 0.000000000 0.070118466 0.232998447 0.00000000 0.000000000
STARS38 0.000000000 0.133257956 0.147516329 0.00000000 0.000000000
STARS39 0.133257956 0.000000000 0.015085403 0.00000000 0.000000000
STARS40 0.147516329 0.015085403 0.000000000 0.06337828 0.000000000
STARS41 0.000000000 0.000000000 0.063378281 0.00000000 0.310026696
STARS42 0.000000000 0.000000000 0.000000000 0.31002670 0.000000000
STARS43 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS44 0.000000000 0.000000000 0.042788808 0.00000000 0.041743006
STARS45 0.000000000 0.000000000 0.063560600 0.00000000 0.015695937
STARS46 0.000000000 0.000000000 0.000000000 0.00000000 0.000000000
STARS47 0.047827515 0.000000000 0.000000000 0.00000000 0.000000000
STARS48 0.036142988 0.319754245 0.000000000 0.00000000 0.000000000
STARS49 0.018099365 0.000000000 0.003489840 0.00000000 0.000000000
STARS50 0.000000000 0.000000000 0.000000000 0.07620741 0.268919944
STARS51 0.236693305 0.000000000 0.000000000 0.00000000 0.000000000
STARS43 STARS44 STARS45 STARS46 STARS47 STARS48
STARS01 0.00000000 0.00000000 0.006332598 0.000000000 0.0000000000 0.00000000
STARS02 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS03 0.00000000 0.03117178 0.000000000 0.000000000 0.0000000000 0.00000000
STARS04 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS05 0.00000000 0.00000000 0.000000000 0.000000000 0.0440461528 0.00000000
STARS06 0.00000000 0.00000000 0.000000000 0.000000000 0.0223198999 0.00000000
STARS07 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS08 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.03776812
STARS09 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS10 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS11 0.01688661 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS12 0.00000000 0.00000000 0.000000000 0.000000000 0.0432389154 0.00000000
STARS13 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS14 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS15 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS16 0.00000000 0.00000000 0.000000000 0.010120377 0.0008985985 0.00000000
STARS17 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS18 0.00000000 0.00000000 0.000000000 0.000000000 0.0032493437 0.00000000
STARS19 0.00000000 0.00000000 0.000000000 0.000000000 0.0373124572 0.00000000
STARS20 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS21 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS22 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.08466244
STARS23 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS24 0.00000000 0.00636677 0.000000000 0.000000000 0.1170198759 0.00000000
STARS25 0.00000000 0.03513219 0.000000000 0.000000000 0.0000000000 0.00000000
STARS26 0.00000000 0.00000000 0.013972789 0.000000000 0.0000000000 0.00997785
STARS27 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS28 0.00000000 0.01002619 0.100822340 0.000000000 0.0624873715 0.03772092
STARS29 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS30 0.02298714 0.00000000 0.000000000 0.138035755 0.0735861565 0.00000000
STARS31 0.03477160 0.00000000 0.008480079 0.091211377 0.0000000000 0.00000000
STARS32 0.10205313 0.00000000 0.000000000 0.000000000 0.1205086061 0.00000000
STARS33 0.00000000 0.06681895 0.022519168 0.000000000 0.1673016533 0.00000000
STARS34 0.00000000 0.00000000 0.209530078 0.000000000 0.0000000000 0.00000000
STARS35 0.00000000 0.00000000 0.009066532 0.000000000 0.0000000000 0.00000000
STARS36 0.00000000 0.11653155 0.000000000 0.000000000 0.0000000000 0.05263748
STARS37 0.11026643 0.00000000 0.088680705 0.000000000 0.0000000000 0.00000000
STARS38 0.00000000 0.00000000 0.000000000 0.000000000 0.0478275146 0.03614299
STARS39 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.31975424
STARS40 0.00000000 0.04278881 0.063560600 0.000000000 0.0000000000 0.00000000
STARS41 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS42 0.00000000 0.04174301 0.015695937 0.000000000 0.0000000000 0.00000000
STARS43 0.00000000 0.21192214 0.030852146 0.285678668 0.0278060787 0.00000000
STARS44 0.21192214 0.00000000 0.057547200 0.034294148 0.0000000000 0.04652581
STARS45 0.03085215 0.05754720 0.000000000 0.000000000 0.0396894780 0.15110886
STARS46 0.28567867 0.03429415 0.000000000 0.000000000 0.2367896428 0.00000000
STARS47 0.02780608 0.00000000 0.039689478 0.236789643 0.0000000000 0.00000000
STARS48 0.00000000 0.04652581 0.151108863 0.000000000 0.0000000000 0.00000000
STARS49 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.12345321
STARS50 0.00000000 0.00000000 0.000000000 0.000000000 0.0000000000 0.00000000
STARS51 0.07819980 0.00000000 0.140874534 0.004129779 0.1972448775 0.03387127
STARS49 STARS50 STARS51
STARS01 0.00000000 0.000000000 0.065527953
STARS02 0.00000000 0.000000000 0.000000000
STARS03 0.00000000 0.000000000 0.078550184
STARS04 0.00000000 0.000000000 0.014987772
STARS05 0.00000000 0.000000000 0.023047315
STARS06 0.00000000 0.000000000 0.000000000
STARS07 0.00000000 0.000000000 0.000000000
STARS08 0.00000000 0.000000000 0.000000000
STARS09 0.00000000 0.000000000 0.000000000
STARS10 0.00000000 0.000000000 0.000000000
STARS11 0.00000000 0.000000000 0.000000000
STARS12 0.00000000 0.000000000 0.000000000
STARS13 0.00000000 0.000000000 0.044045665
STARS14 0.00000000 0.000000000 0.000000000
STARS15 0.00000000 0.000000000 0.000000000
STARS16 0.00000000 0.000000000 0.000000000
STARS17 0.00000000 0.000000000 0.000000000
STARS18 0.00000000 0.000000000 0.000000000
STARS19 0.00000000 0.000000000 0.000000000
STARS20 0.00000000 0.000000000 0.000000000
STARS21 0.00000000 0.000000000 0.000000000
STARS22 0.00000000 0.000000000 0.000000000
STARS23 0.01456336 0.000000000 0.000000000
STARS24 0.03708114 0.036951893 0.000000000
STARS25 0.00000000 0.000000000 0.004563220
STARS26 0.10246386 0.034092893 0.000000000
STARS27 0.04387534 0.201678759 0.000000000
STARS28 0.07365135 0.000000000 0.000000000
STARS29 0.04760808 0.102470958 0.000000000
STARS30 0.00000000 0.057540806 0.000000000
STARS31 0.00000000 0.000000000 0.105593955
STARS32 0.00000000 0.000000000 0.000000000
STARS33 0.12560274 0.017858993 0.000000000
STARS34 0.00000000 0.000000000 0.063174177
STARS35 0.00609450 0.150376444 0.071588599
STARS36 0.02549574 0.000000000 0.000000000
STARS37 0.00000000 0.000000000 0.000000000
STARS38 0.01809937 0.000000000 0.236693305
STARS39 0.00000000 0.000000000 0.000000000
STARS40 0.00348984 0.000000000 0.000000000
STARS41 0.00000000 0.076207409 0.000000000
STARS42 0.00000000 0.268919944 0.000000000
STARS43 0.00000000 0.000000000 0.078199803
STARS44 0.00000000 0.000000000 0.000000000
STARS45 0.00000000 0.000000000 0.140874534
STARS46 0.00000000 0.000000000 0.004129779
STARS47 0.00000000 0.000000000 0.197244877
STARS48 0.12345321 0.000000000 0.033871269
STARS49 0.00000000 0.295376652 0.000000000
STARS50 0.29537665 0.000000000 0.002248172
STARS51 0.00000000 0.002248172 0.000000000
attr(,"methods")
attr(,"methods")$corr
[1] "auto"
attr(,"methods")$model.selection
[1] "ebic"
attr(,"methods")$lambda
[1] 0.1047365
attr(,"methods")$gamma
[1] 0.5
attr(,"methods")$lambda.min.ratio
[1] 0.1
attr(,"methods")$nlambda
[1] 100
attr(,"methods")$criterion
[1] 6165.731
attr(,"methods")$model
[1] "glasso"
attr(,"methods")$na.data
[1] "pairwise"
$wto
$wto$matrix
STARS01 STARS02 STARS03 STARS04 STARS05
STARS01 0.000000e+00 1.478443e-02 3.351502e-03 7.945669e-02 0.0122425190
STARS02 1.478443e-02 0.000000e+00 1.678418e-04 7.605572e-03 0.0643751541
STARS03 3.351502e-03 1.678418e-04 0.000000e+00 1.524122e-02 0.0034687373
STARS04 7.945669e-02 7.605572e-03 1.524122e-02 0.000000e+00 0.1111505791
STARS05 1.224252e-02 6.437515e-02 3.468737e-03 1.111506e-01 0.0000000000
STARS06 4.718648e-03 3.392295e-01 6.179636e-04 1.238897e-02 0.0892146390
STARS07 3.479221e-02 1.125568e-02 7.329851e-03 1.401354e-01 0.1721904068
STARS08 2.577803e-01 1.265849e-02 5.038309e-04 4.600173e-02 0.0100816935
STARS09 2.005076e-05 4.530224e-02 7.812924e-03 6.670855e-03 0.0528864363
STARS10 1.147926e-01 4.354525e-03 0.000000e+00 7.421524e-03 0.0019993241
STARS11 1.120830e-02 5.939350e-02 1.447046e-03 4.759530e-02 0.1050945929
STARS12 9.206345e-03 7.276061e-02 1.991213e-04 3.981213e-02 0.0398294651
STARS13 4.254911e-02 5.223246e-03 3.071098e-03 1.036624e-01 0.0312732276
STARS14 9.573086e-03 9.692561e-03 2.426947e-02 6.313133e-02 0.0923034898
STARS15 6.733771e-02 1.469290e-03 1.081127e-04 3.033501e-02 0.0031006198
STARS16 2.461753e-03 8.952007e-04 5.159140e-01 1.962184e-02 0.0155252621
STARS17 2.948744e-02 1.163465e-02 3.549592e-03 5.557702e-03 0.0274173044
STARS18 2.161047e-03 5.466121e-03 5.963901e-03 1.974714e-02 0.0179399790
STARS19 1.150536e-04 1.088891e-02 6.110637e-02 1.083814e-02 0.0563541159
STARS20 2.591329e-03 2.113139e-01 5.431320e-03 4.615506e-03 0.0300839009
STARS21 5.231367e-02 2.959243e-03 7.032724e-03 5.127713e-02 0.0145519336
STARS22 6.269677e-02 1.221615e-03 1.021918e-03 1.801198e-02 0.0122743459
STARS23 3.655780e-03 2.085633e-02 8.874207e-02 6.862003e-03 0.0218326173
STARS24 0.000000e+00 9.916562e-04 1.307698e-04 3.589044e-03 0.0272823428
STARS25 4.883132e-02 1.950592e-03 5.160688e-03 6.607304e-02 0.0187067397
STARS26 1.077218e-03 0.000000e+00 0.000000e+00 2.530883e-03 0.0011966006
STARS27 1.665782e-02 2.726866e-04 1.915404e-04 6.154891e-04 0.0020682582
STARS28 1.427966e-03 1.994740e-05 2.019803e-04 5.021808e-03 0.0030860472
STARS29 4.193766e-04 0.000000e+00 0.000000e+00 6.845145e-04 0.0000000000
STARS30 1.556557e-02 1.176938e-05 0.000000e+00 0.000000e+00 0.0038119745
STARS31 1.179154e-02 0.000000e+00 2.818887e-02 1.581255e-02 0.0048964484
STARS32 4.103400e-02 1.056122e-03 0.000000e+00 4.171591e-03 0.0027794858
STARS33 2.449066e-03 0.000000e+00 1.308523e-03 5.026170e-04 0.0039290875
STARS34 1.139240e-02 0.000000e+00 1.132910e-02 6.169841e-03 0.0015050563
STARS35 5.915562e-03 4.368750e-06 3.102443e-03 5.711852e-04 0.0008441144
STARS36 7.766177e-03 1.472346e-04 3.015966e-03 1.817107e-02 0.0103755275
STARS37 2.901122e-02 1.533552e-03 9.879715e-04 6.151157e-03 0.0012715310
STARS38 1.498190e-02 4.421471e-05 1.182925e-02 1.210314e-02 0.0042833367
STARS39 1.225963e-02 2.069241e-04 4.444583e-04 3.080352e-03 0.0001495011
STARS40 9.111426e-03 0.000000e+00 7.358757e-04 0.000000e+00 0.0000000000
STARS41 3.683100e-03 7.359147e-05 8.504834e-05 1.923265e-03 0.0012459567
STARS42 4.158803e-03 4.631762e-05 8.328761e-04 0.000000e+00 0.0005812458
STARS43 2.687318e-03 8.275578e-04 7.632192e-03 8.774930e-04 0.0028543467
STARS44 1.454777e-03 0.000000e+00 1.866913e-02 4.044373e-03 0.0004787629
STARS45 1.045774e-02 7.500484e-05 7.240777e-03 1.934040e-03 0.0025500915
STARS46 1.503205e-04 0.000000e+00 5.797982e-03 1.981844e-04 0.0058462970
STARS47 2.890717e-03 6.665507e-03 8.851655e-03 5.926590e-03 0.0282773641
STARS48 1.459303e-02 2.451206e-04 2.268027e-03 1.103847e-03 0.0004037197
STARS49 3.524792e-05 0.000000e+00 2.236304e-04 6.412417e-04 0.0006826425
STARS50 7.131152e-05 0.000000e+00 9.742928e-05 1.663041e-05 0.0006261003
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STARS38 4.577660e-03 0.000000e+00 0.0119773305 2.186332e-02 3.276479e-02
STARS39 1.036116e-03 3.086719e-04 0.0046873187 1.366631e-02 4.895182e-02
STARS40 3.391923e-02 2.185771e-02 0.0191112365 2.942985e-02 5.525279e-02
STARS41 0.000000e+00 1.978291e-01 0.0069298444 1.334894e-02 5.784315e-03
STARS42 1.978291e-01 0.000000e+00 0.0048560452 2.811263e-02 1.183755e-02
STARS43 6.929844e-03 4.856045e-03 0.0000000000 1.501026e-01 3.450862e-02
STARS44 1.334894e-02 2.811263e-02 0.1501025871 0.000000e+00 4.686020e-02
STARS45 5.784315e-03 1.183755e-02 0.0345086176 4.686020e-02 0.000000e+00
STARS46 2.618931e-03 7.951857e-04 0.2021668657 5.690462e-02 1.196530e-02
STARS47 2.009418e-02 5.171864e-03 0.0665871798 1.696058e-02 4.085460e-02
STARS48 6.939425e-05 3.173164e-03 0.0089363988 3.731623e-02 9.116360e-02
STARS49 2.272238e-02 6.099766e-02 0.0000000000 1.071883e-02 1.597295e-02
STARS50 9.118351e-02 1.752308e-01 0.0007798931 7.439793e-03 3.461215e-03
STARS51 8.388606e-05 1.344213e-03 0.0503911379 1.705340e-02 9.430344e-02
STARS46 STARS47 STARS48 STARS49 STARS50
STARS01 1.503205e-04 2.890717e-03 1.459303e-02 3.524792e-05 7.131152e-05
STARS02 0.000000e+00 6.665507e-03 2.451206e-04 0.000000e+00 0.000000e+00
STARS03 5.797982e-03 8.851655e-03 2.268027e-03 2.236304e-04 9.742928e-05
STARS04 1.981844e-04 5.926590e-03 1.103847e-03 6.412417e-04 1.663041e-05
STARS05 5.846297e-03 2.827736e-02 4.037197e-04 6.826425e-04 6.261003e-04
STARS06 2.935755e-03 1.594102e-02 0.000000e+00 0.000000e+00 0.000000e+00
STARS07 9.902824e-06 5.620269e-03 3.194707e-03 0.000000e+00 1.009227e-03
STARS08 1.390450e-04 2.238026e-03 2.452508e-02 7.627524e-04 9.987781e-03
STARS09 0.000000e+00 3.800281e-03 0.000000e+00 5.855200e-04 5.109900e-03
STARS10 0.000000e+00 1.321719e-03 9.617542e-03 7.191652e-04 4.066022e-03
STARS11 2.679694e-03 1.021171e-02 2.574943e-04 3.978277e-04 0.000000e+00
STARS12 5.687250e-03 2.210998e-02 5.927545e-04 5.237753e-05 0.000000e+00
STARS13 1.010403e-04 7.353634e-03 3.197868e-03 3.550358e-05 2.083889e-04
STARS14 1.588912e-03 6.974505e-03 7.587474e-03 1.675503e-03 0.000000e+00
STARS15 0.000000e+00 8.761434e-05 7.769482e-03 6.930645e-05 0.000000e+00
STARS16 6.663639e-03 4.381564e-03 0.000000e+00 1.619438e-03 0.000000e+00
STARS17 5.534145e-03 5.426046e-03 2.776780e-03 5.008797e-05 5.950360e-03
STARS18 5.092446e-04 9.752693e-03 0.000000e+00 3.271696e-04 0.000000e+00
STARS19 5.838318e-03 2.061811e-02 1.373876e-04 9.917059e-04 4.216642e-04
STARS20 4.011784e-05 8.174119e-03 0.000000e+00 1.110409e-03 0.000000e+00
STARS21 1.945866e-03 1.537514e-03 9.181312e-03 1.048349e-03 0.000000e+00
STARS22 0.000000e+00 0.000000e+00 4.980633e-02 5.213957e-03 1.870093e-03
STARS23 1.198267e-03 6.295230e-03 3.389463e-03 7.655692e-03 2.221878e-03
STARS24 2.978327e-02 9.508779e-02 3.211534e-03 3.709367e-02 4.997416e-02
STARS25 1.237196e-02 3.358482e-03 5.928210e-03 2.758452e-03 6.086659e-04
STARS26 0.000000e+00 3.547773e-03 1.500192e-02 7.354947e-02 9.283384e-02
STARS27 0.000000e+00 1.413171e-02 5.462955e-03 7.840969e-02 1.417419e-01
STARS28 8.410010e-03 3.950732e-02 4.200921e-02 5.862117e-02 4.626911e-02
STARS29 0.000000e+00 1.952525e-02 5.488422e-03 6.918096e-02 8.962284e-02
STARS30 9.747611e-02 9.386155e-02 3.542033e-05 1.128746e-02 3.319486e-02
STARS31 5.954074e-02 2.460536e-02 9.772049e-03 2.096024e-03 1.995411e-04
STARS32 7.026985e-02 8.878544e-02 9.945405e-04 5.406797e-03 1.898719e-02
STARS33 2.374724e-02 8.847255e-02 1.441193e-02 8.312398e-02 5.942269e-02
STARS34 1.246571e-02 1.434696e-02 4.272257e-02 4.079023e-03 6.137045e-03
STARS35 1.642236e-04 2.098814e-02 3.305087e-03 4.337084e-02 9.549142e-02
STARS36 4.745950e-03 9.910349e-03 5.183709e-02 2.659447e-02 5.470395e-03
STARS37 1.751557e-02 3.290853e-03 1.862119e-02 2.549363e-03 1.228455e-02
STARS38 1.145898e-02 4.484716e-02 5.302385e-02 1.511429e-02 2.727353e-03
STARS39 1.308004e-03 5.541769e-03 2.160702e-01 2.559230e-02 9.247441e-05
STARS40 8.151078e-04 7.863579e-03 1.185530e-02 1.000629e-02 1.416034e-02
STARS41 2.618931e-03 2.009418e-02 6.939425e-05 2.272238e-02 9.118351e-02
STARS42 7.951857e-04 5.171864e-03 3.173164e-03 6.099766e-02 1.752308e-01
STARS43 2.021669e-01 6.658718e-02 8.936399e-03 0.000000e+00 7.798931e-04
STARS44 5.690462e-02 1.696058e-02 3.731623e-02 1.071883e-02 7.439793e-03
STARS45 1.196530e-02 4.085460e-02 9.116360e-02 1.597295e-02 3.461215e-03
STARS46 0.000000e+00 1.635557e-01 9.639964e-04 0.000000e+00 4.417125e-03
STARS47 1.635557e-01 0.000000e+00 8.669774e-03 1.607879e-02 5.349328e-03
STARS48 9.639964e-04 8.669774e-03 0.000000e+00 7.206972e-02 1.907379e-02
STARS49 0.000000e+00 1.607879e-02 7.206972e-02 0.000000e+00 1.955789e-01
STARS50 4.417125e-03 5.349328e-03 1.907379e-02 1.955789e-01 0.000000e+00
STARS51 4.610285e-02 1.109880e-01 3.353778e-02 4.990398e-03 6.018897e-03
STARS51
STARS01 3.481726e-02
STARS02 1.410950e-03
STARS03 4.725867e-02
STARS04 1.780329e-02
STARS05 1.593674e-02
STARS06 3.796091e-03
STARS07 7.258238e-03
STARS08 1.521131e-02
STARS09 1.557919e-03
STARS10 2.448656e-03
STARS11 2.888169e-03
STARS12 7.061948e-03
STARS13 2.351056e-02
STARS14 5.788186e-03
STARS15 4.776510e-03
STARS16 2.376674e-02
STARS17 1.128044e-03
STARS18 4.826355e-03
STARS19 4.590322e-03
STARS20 0.000000e+00
STARS21 1.135358e-02
STARS22 3.383980e-03
STARS23 1.129240e-03
STARS24 1.579932e-02
STARS25 3.427925e-02
STARS26 2.494976e-03
STARS27 1.939503e-04
STARS28 1.681513e-02
STARS29 5.626288e-03
STARS30 8.468995e-03
STARS31 7.856431e-02
STARS32 1.332679e-02
STARS33 2.330764e-02
STARS34 6.649500e-02
STARS35 4.164171e-02
STARS36 3.393223e-02
STARS37 2.131451e-02
STARS38 1.364009e-01
STARS39 3.013514e-02
STARS40 2.907463e-02
STARS41 8.388606e-05
STARS42 1.344213e-03
STARS43 5.039114e-02
STARS44 1.705340e-02
STARS45 9.430344e-02
STARS46 4.610285e-02
STARS47 1.109880e-01
STARS48 3.353778e-02
STARS49 4.990398e-03
STARS50 6.018897e-03
STARS51 0.000000e+00
$wto$pairwise
node_i node_j wto
118 STARS03 STARS16 5.159140e-01
1511 STARS30 STARS32 3.403795e-01
57 STARS02 STARS06 3.392295e-01
425 STARS09 STARS17 2.921080e-01
8 STARS01 STARS08 2.577803e-01
367 STARS08 STARS10 2.571079e-01
941 STARS19 STARS23 2.304138e-01
1986 STARS39 STARS48 2.160702e-01
71 STARS02 STARS20 2.113139e-01
275 STARS06 STARS20 2.072146e-01
2188 STARS43 STARS46 2.021669e-01
2082 STARS41 STARS42 1.978291e-01
2498 STARS49 STARS50 1.955789e-01
474 STARS10 STARS15 1.936606e-01
522 STARS11 STARS12 1.803430e-01
2141 STARS42 STARS50 1.752308e-01
886 STARS18 STARS19 1.749185e-01
211 STARS05 STARS07 1.721904e-01
788 STARS16 STARS23 1.656943e-01
1317 STARS26 STARS42 1.654462e-01
2342 STARS46 STARS47 1.635557e-01
1564 STARS31 STARS34 1.605257e-01
1255 STARS25 STARS31 1.602835e-01
735 STARS15 STARS21 1.584738e-01
1876 STARS37 STARS40 1.560710e-01
1823 STARS36 STARS38 1.532694e-01
2186 STARS43 STARS44 1.501026e-01
1376 STARS27 STARS50 1.417419e-01
1042 STARS21 STARS22 1.408429e-01
160 STARS04 STARS07 1.401354e-01
1728 STARS34 STARS45 1.379453e-01
1938 STARS38 STARS51 1.364009e-01
736 STARS15 STARS22 1.329815e-01
1354 STARS27 STARS28 1.305676e-01
1406 STARS28 STARS29 1.290933e-01
581 STARS12 STARS20 1.280949e-01
630 STARS13 STARS18 1.227805e-01
1463 STARS29 STARS35 1.216938e-01
1461 STARS29 STARS33 1.199311e-01
784 STARS16 STARS19 1.194573e-01
1720 STARS34 STARS37 1.149724e-01
10 STARS01 STARS10 1.147926e-01
158 STARS04 STARS05 1.111506e-01
2397 STARS47 STARS51 1.109880e-01
1302 STARS26 STARS27 1.103596e-01
215 STARS05 STARS11 1.050946e-01
166 STARS04 STARS13 1.036624e-01
1722 STARS34 STARS39 1.031316e-01
1667 STARS33 STARS35 1.021890e-01
372 STARS08 STARS15 1.020395e-01
1355 STARS27 STARS29 1.018606e-01
1926 STARS38 STARS39 1.006967e-01
1771 STARS35 STARS37 9.979331e-02
1203 STARS24 STARS30 9.904842e-02
1368 STARS27 STARS42 9.880648e-02
1258 STARS25 STARS34 9.847290e-02
575 STARS12 STARS14 9.808067e-02
1525 STARS30 STARS46 9.747611e-02
834 STARS17 STARS18 9.595385e-02
1784 STARS35 STARS50 9.549142e-02
1220 STARS24 STARS47 9.508779e-02
2295 STARS45 STARS51 9.430344e-02
992 STARS20 STARS23 9.389573e-02
1526 STARS30 STARS47 9.386155e-02
1325 STARS26 STARS50 9.283384e-02
218 STARS05 STARS14 9.230349e-02
1774 STARS35 STARS40 9.118681e-02
2090 STARS41 STARS50 9.118351e-02
2292 STARS45 STARS48 9.116360e-02
1478 STARS29 STARS50 8.962284e-02
210 STARS05 STARS06 8.921464e-02
1628 STARS32 STARS47 8.878544e-02
125 STARS03 STARS23 8.874207e-02
835 STARS17 STARS19 8.864668e-02
1568 STARS31 STARS38 8.849923e-02
1679 STARS33 STARS47 8.847255e-02
574 STARS12 STARS13 8.694890e-02
1927 STARS38 STARS40 8.475387e-02
1681 STARS33 STARS49 8.312398e-02
379 STARS08 STARS22 8.297761e-02
370 STARS08 STARS13 8.267111e-02
319 STARS07 STARS13 8.212017e-02
317 STARS07 STARS11 7.982711e-02
1304 STARS26 STARS29 7.961342e-02
4 STARS01 STARS04 7.945669e-02
1581 STARS31 STARS51 7.856431e-02
1375 STARS27 STARS49 7.840969e-02
481 STARS10 STARS22 7.815151e-02
264 STARS06 STARS09 7.789841e-02
1723 STARS34 STARS40 7.741286e-02
627 STARS13 STARS15 7.713449e-02
1622 STARS32 STARS41 7.712133e-02
1829 STARS36 STARS44 7.664500e-02
1881 STARS37 STARS45 7.645662e-02
1673 STARS33 STARS41 7.641720e-02
428 STARS09 STARS20 7.405768e-02
1262 STARS25 STARS38 7.390954e-02
1324 STARS26 STARS49 7.354947e-02
63 STARS02 STARS12 7.276061e-02
267 STARS06 STARS12 7.266372e-02
2446 STARS48 STARS49 7.206972e-02
626 STARS13 STARS14 7.147698e-02
890 STARS18 STARS23 7.110782e-02
857 STARS17 STARS41 7.069548e-02
374 STARS08 STARS17 7.035317e-02
685 STARS14 STARS22 7.028519e-02
1627 STARS32 STARS46 7.026985e-02
1477 STARS29 STARS49 6.918096e-02
1718 STARS34 STARS35 6.768804e-02
1721 STARS34 STARS38 6.749649e-02
15 STARS01 STARS15 6.733771e-02
2189 STARS43 STARS47 6.658718e-02
1734 STARS34 STARS51 6.649500e-02
427 STARS09 STARS19 6.635328e-02
178 STARS04 STARS25 6.607304e-02
1422 STARS28 STARS45 6.444012e-02
56 STARS02 STARS05 6.437515e-02
1624 STARS32 STARS43 6.423303e-02
167 STARS04 STARS14 6.313133e-02
22 STARS01 STARS22 6.269677e-02
1879 STARS37 STARS43 6.257831e-02
739 STARS15 STARS25 6.229195e-02
314 STARS07 STARS08 6.196917e-02
472 STARS10 STARS13 6.134701e-02
853 STARS17 STARS37 6.131661e-02
121 STARS03 STARS19 6.110637e-02
2140 STARS42 STARS49 6.099766e-02
1522 STARS30 STARS43 6.075698e-02
1303 STARS26 STARS28 6.016937e-02
426 STARS09 STARS18 6.013959e-02
524 STARS11 STARS14 6.006471e-02
938 STARS19 STARS20 5.992806e-02
1824 STARS36 STARS39 5.964952e-02
1576 STARS31 STARS46 5.954074e-02
1682 STARS33 STARS50 5.942269e-02
62 STARS02 STARS11 5.939350e-02
699 STARS14 STARS36 5.863325e-02
1426 STARS28 STARS49 5.862117e-02
1316 STARS26 STARS41 5.845906e-02
1520 STARS30 STARS41 5.813785e-02
1614 STARS32 STARS33 5.754234e-02
1205 STARS24 STARS32 5.701487e-02
2239 STARS44 STARS46 5.690462e-02
223 STARS05 STARS19 5.635412e-02
1875 STARS37 STARS39 5.583769e-02
2034 STARS40 STARS45 5.525279e-02
579 STARS12 STARS18 5.417883e-02
1674 STARS33 STARS42 5.413037e-02
1200 STARS24 STARS27 5.392588e-02
476 STARS10 STARS17 5.368023e-02
1935 STARS38 STARS48 5.302385e-02
213 STARS05 STARS09 5.288644e-02
1359 STARS27 STARS33 5.281702e-02
684 STARS14 STARS21 5.243253e-02
21 STARS01 STARS21 5.231367e-02
1833 STARS36 STARS48 5.183709e-02
1469 STARS29 STARS41 5.135523e-02
174 STARS04 STARS21 5.127713e-02
1045 STARS21 STARS25 5.109272e-02
1410 STARS28 STARS33 5.068474e-02
2193 STARS43 STARS51 5.039114e-02
1214 STARS24 STARS41 5.008005e-02
1223 STARS24 STARS50 4.997416e-02
1119 STARS22 STARS48 4.980633e-02
1983 STARS39 STARS45 4.895182e-02
25 STARS01 STARS25 4.883132e-02
164 STARS04 STARS11 4.759530e-02
1308 STARS26 STARS33 4.741979e-02
153 STARS03 STARS51 4.725867e-02
732 STARS15 STARS18 4.725515e-02
1470 STARS29 STARS42 4.686435e-02
2238 STARS44 STARS45 4.686020e-02
1676 STARS33 STARS44 4.680812e-02
530 STARS11 STARS20 4.665606e-02
1427 STARS28 STARS50 4.626911e-02
2346 STARS46 STARS51 4.610285e-02
161 STARS04 STARS08 4.600173e-02
1367 STARS27 STARS41 4.583568e-02
1206 STARS24 STARS33 4.544868e-02
60 STARS02 STARS09 4.530224e-02
1934 STARS38 STARS47 4.484716e-02
1043 STARS21 STARS23 4.476131e-02
384 STARS08 STARS27 4.452558e-02
1569 STARS31 STARS39 4.380070e-02
266 STARS06 STARS11 4.341235e-02
1783 STARS35 STARS49 4.337084e-02
1315 STARS26 STARS40 4.335845e-02
837 STARS17 STARS21 4.293745e-02
1731 STARS34 STARS48 4.272257e-02
13 STARS01 STARS13 4.254911e-02
1425 STARS28 STARS48 4.200921e-02
1465 STARS29 STARS37 4.190759e-02
1566 STARS31 STARS36 4.184765e-02
480 STARS10 STARS21 4.170685e-02
1785 STARS35 STARS51 4.164171e-02
1412 STARS28 STARS35 4.149533e-02
32 STARS01 STARS32 4.103400e-02
2291 STARS45 STARS47 4.085460e-02
389 STARS08 STARS32 3.988016e-02
216 STARS05 STARS12 3.982947e-02
165 STARS04 STARS12 3.981213e-02
1424 STARS28 STARS47 3.950732e-02
679 STARS14 STARS16 3.868788e-02
1575 STARS31 STARS45 3.860278e-02
1094 STARS22 STARS23 3.810236e-02
2241 STARS44 STARS48 3.731623e-02
1222 STARS24 STARS49 3.709367e-02
1573 STARS31 STARS43 3.675707e-02
1310 STARS26 STARS35 3.641547e-02
887 STARS18 STARS20 3.627134e-02
680 STARS14 STARS17 3.621497e-02
1672 STARS33 STARS40 3.614399e-02
783 STARS16 STARS18 3.574695e-02
449 STARS09 STARS41 3.550450e-02
1361 STARS27 STARS35 3.537822e-02
320 STARS07 STARS14 3.512862e-02
51 STARS01 STARS51 3.481726e-02
7 STARS01 STARS07 3.479221e-02
2187 STARS43 STARS45 3.450862e-02
1275 STARS25 STARS51 3.427925e-02
272 STARS06 STARS17 3.404108e-02
1836 STARS36 STARS51 3.393223e-02
2030 STARS40 STARS41 3.391923e-02
836 STARS17 STARS20 3.389775e-02
1978 STARS39 STARS40 3.389563e-02
1058 STARS21 STARS38 3.358277e-02
2448 STARS48 STARS51 3.353778e-02
1529 STARS30 STARS50 3.319486e-02
1932 STARS38 STARS45 3.276479e-02
1779 STARS35 STARS45 3.272058e-02
1666 STARS33 STARS34 3.234529e-02
366 STARS08 STARS09 3.225896e-02
846 STARS17 STARS30 3.159799e-02
217 STARS05 STARS13 3.127323e-02
533 STARS11 STARS23 3.109000e-02
1512 STARS30 STARS33 3.082769e-02
523 STARS11 STARS13 3.033956e-02
168 STARS04 STARS15 3.033501e-02
1989 STARS39 STARS51 3.013514e-02
224 STARS05 STARS20 3.008390e-02
531 STARS11 STARS21 2.994964e-02
1263 STARS25 STARS39 2.978655e-02
1219 STARS24 STARS46 2.978327e-02
445 STARS09 STARS37 2.974949e-02
1776 STARS35 STARS42 2.949056e-02
17 STARS01 STARS17 2.948744e-02
2033 STARS40 STARS44 2.942985e-02
420 STARS09 STARS12 2.937924e-02
2040 STARS40 STARS51 2.907463e-02
37 STARS01 STARS37 2.901122e-02
1468 STARS29 STARS40 2.859408e-02
1051 STARS21 STARS31 2.843557e-02
578 STARS12 STARS17 2.837901e-02
251 STARS05 STARS47 2.827736e-02
133 STARS03 STARS31 2.818887e-02
2135 STARS42 STARS44 2.811263e-02
681 STARS14 STARS18 2.794801e-02
888 STARS18 STARS21 2.772129e-02
1261 STARS25 STARS37 2.767367e-02
1668 STARS33 STARS36 2.765470e-02
1416 STARS28 STARS39 2.743001e-02
221 STARS05 STARS17 2.741730e-02
1311 STARS26 STARS36 2.736889e-02
839 STARS17 STARS23 2.736427e-02
1874 STARS37 STARS38 2.729522e-02
228 STARS05 STARS24 2.728234e-02
318 STARS07 STARS12 2.714944e-02
848 STARS17 STARS32 2.682800e-02
1834 STARS36 STARS49 2.659447e-02
633 STARS13 STARS21 2.655901e-02
678 STARS14 STARS15 2.576182e-02
1677 STARS33 STARS45 2.571320e-02
1987 STARS39 STARS49 2.559230e-02
1215 STARS24 STARS42 2.539183e-02
316 STARS07 STARS10 2.530123e-02
1567 STARS31 STARS37 2.478850e-02
1577 STARS31 STARS47 2.460536e-02
405 STARS08 STARS48 2.452508e-02
584 STARS12 STARS23 2.445677e-02
785 STARS16 STARS20 2.442601e-02
1825 STARS36 STARS40 2.442547e-02
634 STARS13 STARS22 2.441659e-02
116 STARS03 STARS14 2.426947e-02
858 STARS17 STARS42 2.425192e-02
1260 STARS25 STARS36 2.401972e-02
856 STARS17 STARS40 2.387932e-02
816 STARS16 STARS51 2.376674e-02
1678 STARS33 STARS46 2.374724e-02
663 STARS13 STARS51 2.351056e-02
631 STARS13 STARS19 2.350106e-02
754 STARS15 STARS40 2.330856e-02
1683 STARS33 STARS51 2.330764e-02
1880 STARS37 STARS44 2.324255e-02
683 STARS14 STARS20 2.314500e-02
1775 STARS35 STARS41 2.314415e-02
378 STARS08 STARS21 2.313958e-02
1669 STARS33 STARS37 2.289045e-02
2089 STARS41 STARS49 2.272238e-02
368 STARS08 STARS11 2.217272e-02
608 STARS12 STARS47 2.210998e-02
328 STARS07 STARS22 2.209997e-02
321 STARS07 STARS15 2.207005e-02
1931 STARS38 STARS44 2.186332e-02
2031 STARS40 STARS42 2.185771e-02
227 STARS05 STARS23 2.183262e-02
529 STARS11 STARS19 2.152507e-02
796 STARS16 STARS31 2.144188e-02
1887 STARS37 STARS51 2.131451e-02
1623 STARS32 STARS42 2.125265e-02
1268 STARS25 STARS44 2.109108e-02
1781 STARS35 STARS47 2.098814e-02
422 STARS09 STARS14 2.085639e-02
74 STARS02 STARS23 2.085633e-02
369 STARS08 STARS12 2.078318e-02
1772 STARS35 STARS38 2.066990e-02
682 STARS14 STARS19 2.062423e-02
965 STARS19 STARS47 2.061811e-02
939 STARS19 STARS21 2.028543e-02
2087 STARS41 STARS47 2.009418e-02
382 STARS08 STARS25 1.998744e-02
1719 STARS34 STARS36 1.983299e-02
171 STARS04 STARS18 1.974714e-02
1726 STARS34 STARS43 1.964171e-02
169 STARS04 STARS16 1.962184e-02
1264 STARS25 STARS40 1.956940e-02
1475 STARS29 STARS47 1.952525e-02
269 STARS06 STARS14 1.939116e-02
2032 STARS40 STARS43 1.911124e-02
2447 STARS48 STARS50 1.907379e-02
1100 STARS22 STARS29 1.906357e-02
274 STARS06 STARS19 1.905265e-02
1631 STARS32 STARS50 1.898719e-02
229 STARS05 STARS25 1.870674e-02
146 STARS03 STARS44 1.866913e-02
786 STARS16 STARS21 1.866533e-02
1884 STARS37 STARS48 1.862119e-02
394 STARS08 STARS37 1.861291e-02
278 STARS06 STARS23 1.842673e-02
499 STARS10 STARS40 1.830773e-02
262 STARS06 STARS07 1.819447e-02
189 STARS04 STARS36 1.817107e-02
484 STARS10 STARS25 1.812766e-02
491 STARS10 STARS32 1.802500e-02
1250 STARS25 STARS26 1.801398e-02
175 STARS04 STARS22 1.801198e-02
222 STARS05 STARS18 1.793998e-02
580 STARS12 STARS19 1.790376e-02
204 STARS04 STARS51 1.780329e-02
1414 STARS28 STARS37 1.765032e-02
582 STARS12 STARS21 1.761546e-02
387 STARS08 STARS30 1.758266e-02
1419 STARS28 STARS42 1.754337e-02
1882 STARS37 STARS46 1.751557e-02
486 STARS10 STARS27 1.751171e-02
398 STARS08 STARS41 1.741551e-02
429 STARS09 STARS21 1.739630e-02
1411 STARS28 STARS34 1.715633e-02
470 STARS10 STARS11 1.705380e-02
2244 STARS44 STARS51 1.705340e-02
2240 STARS44 STARS47 1.696058e-02
632 STARS13 STARS20 1.693984e-02
694 STARS14 STARS31 1.692352e-02
1428 STARS28 STARS51 1.681513e-02
27 STARS01 STARS27 1.665782e-02
399 STARS08 STARS42 1.636158e-02
1413 STARS28 STARS36 1.632294e-02
2395 STARS47 STARS49 1.607879e-02
1269 STARS25 STARS45 1.606897e-02
1570 STARS31 STARS40 1.601412e-02
2293 STARS45 STARS49 1.597295e-02
1625 STARS32 STARS44 1.595705e-02
302 STARS06 STARS47 1.594102e-02
255 STARS05 STARS51 1.593674e-02
184 STARS04 STARS31 1.581255e-02
1224 STARS24 STARS51 1.579932e-02
431 STARS09 STARS23 1.573342e-02
686 STARS14 STARS23 1.565073e-02
327 STARS07 STARS21 1.562800e-02
637 STARS13 STARS25 1.561281e-02
30 STARS01 STARS30 1.556557e-02
745 STARS15 STARS31 1.554095e-02
1320 STARS26 STARS45 1.552868e-02
220 STARS05 STARS16 1.552526e-02
1312 STARS26 STARS37 1.551039e-02
1462 STARS29 STARS34 1.544182e-02
1574 STARS31 STARS44 1.539269e-02
1473 STARS29 STARS45 1.536692e-02
106 STARS03 STARS04 1.524122e-02
408 STARS08 STARS51 1.521131e-02
1110 STARS22 STARS39 1.518511e-02
1202 STARS24 STARS29 1.511612e-02
1936 STARS38 STARS49 1.511429e-02
1828 STARS36 STARS43 1.506051e-02
1323 STARS26 STARS48 1.500192e-02
1201 STARS24 STARS28 1.499746e-02
38 STARS01 STARS38 1.498190e-02
1565 STARS31 STARS35 1.492928e-02
2 STARS01 STARS02 1.478443e-02
1675 STARS33 STARS43 1.470261e-02
1096 STARS22 STARS25 1.468881e-02
48 STARS01 STARS48 1.459303e-02
325 STARS07 STARS19 1.455433e-02
225 STARS05 STARS21 1.455193e-02
331 STARS07 STARS25 1.449627e-02
501 STARS10 STARS42 1.449167e-02
1680 STARS33 STARS48 1.441193e-02
899 STARS18 STARS32 1.439470e-02
1730 STARS34 STARS47 1.434696e-02
435 STARS09 STARS27 1.433736e-02
2039 STARS40 STARS50 1.416034e-02
1373 STARS27 STARS47 1.413171e-02
1773 STARS35 STARS39 1.405933e-02
737 STARS15 STARS23 1.403728e-02
944 STARS19 STARS26 1.375876e-02
1319 STARS26 STARS44 1.372414e-02
752 STARS15 STARS38 1.371015e-02
1982 STARS39 STARS44 1.366631e-02
847 STARS17 STARS31 1.364520e-02
701 STARS14 STARS38 1.350044e-02
782 STARS16 STARS17 1.345753e-02
347 STARS07 STARS41 1.342090e-02
2084 STARS41 STARS44 1.334894e-02
535 STARS11 STARS25 1.332957e-02
1632 STARS32 STARS51 1.332679e-02
393 STARS08 STARS36 1.331651e-02
1313 STARS26 STARS38 1.313562e-02
1521 STARS30 STARS42 1.311889e-02
1670 STARS33 STARS38 1.302936e-02
1727 STARS34 STARS44 1.296805e-02
1056 STARS21 STARS36 1.284417e-02
843 STARS17 STARS27 1.279903e-02
59 STARS02 STARS08 1.265849e-02
438 STARS09 STARS30 1.261175e-02
1729 STARS34 STARS46 1.246571e-02
159 STARS04 STARS06 1.238897e-02
1421 STARS28 STARS44 1.238239e-02
1270 STARS25 STARS46 1.237196e-02
1886 STARS37 STARS50 1.228455e-02
226 STARS05 STARS22 1.227435e-02
39 STARS01 STARS39 1.225963e-02
5 STARS01 STARS05 1.224252e-02
528 STARS11 STARS18 1.221032e-02
787 STARS16 STARS22 1.212312e-02
191 STARS04 STARS38 1.210314e-02
525 STARS11 STARS15 1.206388e-02
547 STARS11 STARS37 1.206244e-02
1930 STARS38 STARS43 1.197733e-02
2290 STARS45 STARS46 1.196530e-02
2037 STARS40 STARS48 1.185530e-02
1371 STARS27 STARS45 1.184169e-02
2136 STARS42 STARS45 1.183755e-02
140 STARS03 STARS38 1.182925e-02
31 STARS01 STARS31 1.179154e-02
68 STARS02 STARS17 1.163465e-02
532 STARS11 STARS22 1.146525e-02
1933 STARS38 STARS46 1.145898e-02
809 STARS16 STARS44 1.142841e-02
34 STARS01 STARS34 1.139240e-02
1071 STARS21 STARS51 1.135358e-02
418 STARS09 STARS10 1.134335e-02
1460 STARS29 STARS32 1.134064e-02
136 STARS03 STARS34 1.132910e-02
1528 STARS30 STARS49 1.128746e-02
1563 STARS31 STARS33 1.128658e-02
58 STARS02 STARS07 1.125568e-02
11 STARS01 STARS11 1.120830e-02
1418 STARS28 STARS41 1.118819e-02
371 STARS08 STARS14 1.106016e-02
324 STARS07 STARS18 1.099594e-02
1199 STARS24 STARS26 1.095067e-02
396 STARS08 STARS39 1.093120e-02
70 STARS02 STARS19 1.088891e-02
172 STARS04 STARS19 1.083814e-02
1671 STARS33 STARS39 1.073515e-02
2242 STARS44 STARS49 1.071883e-02
471 STARS10 STARS12 1.064631e-02
583 STARS12 STARS22 1.055177e-02
576 STARS12 STARS15 1.048331e-02
1777 STARS35 STARS43 1.048081e-02
45 STARS01 STARS45 1.045774e-02
1356 STARS27 STARS30 1.043537e-02
1830 STARS36 STARS45 1.038268e-02
240 STARS05 STARS36 1.037553e-02
450 STARS09 STARS42 1.033047e-02
1417 STARS28 STARS40 1.032274e-02
273 STARS06 STARS18 1.022260e-02
553 STARS11 STARS43 1.022081e-02
557 STARS11 STARS47 1.021171e-02
1267 STARS25 STARS43 1.016947e-02
897 STARS18 STARS30 1.012687e-02
212 STARS05 STARS08 1.008169e-02
2038 STARS40 STARS49 1.000629e-02
407 STARS08 STARS50 9.987781e-03
840 STARS17 STARS24 9.928163e-03
1832 STARS36 STARS47 9.910349e-03
315 STARS07 STARS09 9.856618e-03
688 STARS14 STARS25 9.835676e-03
1827 STARS36 STARS42 9.810519e-03
477 STARS10 STARS18 9.780070e-03
1578 STARS31 STARS48 9.772049e-03
914 STARS18 STARS47 9.752693e-03
65 STARS02 STARS14 9.692561e-03
940 STARS19 STARS22 9.637478e-03
507 STARS10 STARS48 9.617542e-03
14 STARS01 STARS14 9.573086e-03
1107 STARS22 STARS36 9.543148e-03
908 STARS18 STARS41 9.522201e-03
889 STARS18 STARS22 9.399974e-03
488 STARS10 STARS29 9.320342e-03
648 STARS13 STARS36 9.297784e-03
1778 STARS35 STARS44 9.263349e-03
12 STARS01 STARS12 9.206345e-03
1068 STARS21 STARS48 9.181312e-03
40 STARS01 STARS40 9.111426e-03
526 STARS11 STARS16 9.084062e-03
376 STARS08 STARS19 9.058868e-03
959 STARS19 STARS41 9.032096e-03
851 STARS17 STARS35 8.956936e-03
2190 STARS43 STARS48 8.936399e-03
149 STARS03 STARS47 8.851655e-03
424 STARS09 STARS16 8.825496e-03
323 STARS07 STARS17 8.788825e-03
1054 STARS21 STARS34 8.764231e-03
597 STARS12 STARS36 8.725031e-03
386 STARS08 STARS29 8.678993e-03
2394 STARS47 STARS48 8.669774e-03
1530 STARS30 STARS51 8.468995e-03
1423 STARS28 STARS46 8.410010e-03
1464 STARS29 STARS36 8.308757e-03
799 STARS16 STARS34 8.262685e-03
419 STARS09 STARS11 8.228831e-03
1016 STARS20 STARS47 8.174119e-03
1309 STARS26 STARS34 8.078238e-03
1472 STARS29 STARS44 8.024923e-03
383 STARS08 STARS26 7.941149e-03
1060 STARS21 STARS40 7.880644e-03
2036 STARS40 STARS47 7.863579e-03
751 STARS15 STARS37 7.836000e-03
111 STARS03 STARS09 7.812924e-03
1415 STARS28 STARS38 7.786726e-03
762 STARS15 STARS48 7.769482e-03
1366 STARS27 STARS40 7.767938e-03
36 STARS01 STARS36 7.766177e-03
1171 STARS23 STARS49 7.655692e-03
145 STARS03 STARS43 7.632192e-03
500 STARS10 STARS41 7.620472e-03
55 STARS02 STARS04 7.605572e-03
711 STARS14 STARS48 7.587474e-03
385 STARS08 STARS28 7.538254e-03
322 STARS07 STARS16 7.490871e-03
1259 STARS25 STARS35 7.483929e-03
2243 STARS44 STARS50 7.439793e-03
1109 STARS22 STARS38 7.430363e-03
163 STARS04 STARS10 7.421524e-03
659 STARS13 STARS47 7.353634e-03
691 STARS14 STARS28 7.338647e-03
628 STARS13 STARS16 7.338401e-03
109 STARS03 STARS07 7.329851e-03
1510 STARS30 STARS31 7.320872e-03
397 STARS08 STARS40 7.317514e-03
950 STARS19 STARS32 7.269681e-03
357 STARS07 STARS51 7.258238e-03
147 STARS03 STARS45 7.240777e-03
955 STARS19 STARS37 7.092353e-03
1116 STARS22 STARS45 7.082420e-03
612 STARS12 STARS51 7.061948e-03
123 STARS03 STARS21 7.032724e-03
448 STARS09 STARS40 7.019440e-03
527 STARS11 STARS17 6.975423e-03
710 STARS14 STARS47 6.974505e-03
2083 STARS41 STARS43 6.929844e-03
1208 STARS24 STARS35 6.866025e-03
176 STARS04 STARS23 6.862003e-03
496 STARS10 STARS37 6.820334e-03
733 STARS15 STARS19 6.714977e-03
162 STARS04 STARS09 6.670855e-03
98 STARS02 STARS47 6.665507e-03
811 STARS16 STARS46 6.663639e-03
1467 STARS29 STARS39 6.662910e-03
577 STARS12 STARS16 6.583488e-03
850 STARS17 STARS34 6.564286e-03
707 STARS14 STARS44 6.512519e-03
990 STARS20 STARS21 6.323289e-03
948 STARS19 STARS30 6.310235e-03
1169 STARS23 STARS47 6.295230e-03
1358 STARS27 STARS32 6.265688e-03
375 STARS08 STARS18 6.221828e-03
1098 STARS22 STARS27 6.221189e-03
187 STARS04 STARS34 6.169841e-03
748 STARS15 STARS34 6.167506e-03
190 STARS04 STARS37 6.151157e-03
1733 STARS34 STARS50 6.137045e-03
1523 STARS30 STARS44 6.115710e-03
1616 STARS32 STARS35 6.098869e-03
904 STARS18 STARS37 6.045263e-03
2550 STARS50 STARS51 6.018897e-03
1362 STARS27 STARS36 6.006656e-03
120 STARS03 STARS18 5.963901e-03
866 STARS17 STARS50 5.950360e-03
1272 STARS25 STARS48 5.928210e-03
200 STARS04 STARS47 5.926590e-03
268 STARS06 STARS13 5.918975e-03
35 STARS01 STARS35 5.915562e-03
639 STARS13 STARS27 5.901937e-03
250 STARS05 STARS46 5.846297e-03
964 STARS19 STARS46 5.838318e-03
861 STARS17 STARS45 5.834875e-03
421 STARS09 STARS13 5.805494e-03
148 STARS03 STARS46 5.797982e-03
714 STARS14 STARS51 5.788186e-03
2085 STARS41 STARS45 5.784315e-03
1370 STARS27 STARS44 5.738398e-03
849 STARS17 STARS33 5.696677e-03
1217 STARS24 STARS44 5.696164e-03
607 STARS12 STARS46 5.687250e-03
1479 STARS29 STARS51 5.626288e-03
353 STARS07 STARS47 5.620269e-03
1059 STARS21 STARS39 5.609328e-03
629 STARS13 STARS17 5.594853e-03
170 STARS04 STARS17 5.557702e-03
1985 STARS39 STARS47 5.541769e-03
1257 STARS25 STARS33 5.535045e-03
862 STARS17 STARS46 5.534145e-03
1476 STARS29 STARS48 5.488422e-03
492 STARS10 STARS33 5.483334e-03
1835 STARS36 STARS50 5.470395e-03
69 STARS02 STARS18 5.466121e-03
1374 STARS27 STARS48 5.462955e-03
122 STARS03 STARS20 5.431320e-03
863 STARS17 STARS47 5.426046e-03
473 STARS10 STARS14 5.423905e-03
942 STARS19 STARS24 5.421175e-03
1630 STARS32 STARS49 5.406797e-03
2396 STARS47 STARS50 5.349328e-03
439 STARS09 STARS31 5.327447e-03
859 STARS17 STARS43 5.292163e-03
991 STARS20 STARS22 5.288398e-03
1621 STARS32 STARS40 5.272496e-03
64 STARS02 STARS13 5.223246e-03
390 STARS08 STARS33 5.221555e-03
1120 STARS22 STARS49 5.213957e-03
1266 STARS25 STARS42 5.191324e-03
2138 STARS42 STARS47 5.171864e-03
650 STARS13 STARS38 5.169234e-03
489 STARS10 STARS30 5.168930e-03
127 STARS03 STARS25 5.160688e-03
1306 STARS26 STARS31 5.151464e-03
458 STARS09 STARS50 5.109900e-03
348 STARS07 STARS42 5.050212e-03
1102 STARS22 STARS31 5.041630e-03
279 STARS06 STARS24 5.036989e-03
181 STARS04 STARS28 5.021808e-03
1409 STARS28 STARS32 5.013110e-03
1061 STARS21 STARS41 5.010169e-03
2499 STARS49 STARS51 4.990398e-03
1314 STARS26 STARS39 4.960153e-03
1216 STARS24 STARS43 4.928427e-03
235 STARS05 STARS31 4.896448e-03
2134 STARS42 STARS43 4.856045e-03
790 STARS16 STARS25 4.852310e-03
586 STARS12 STARS25 4.849070e-03
918 STARS18 STARS51 4.826355e-03
1626 STARS32 STARS45 4.799869e-03
765 STARS15 STARS51 4.776510e-03
1831 STARS36 STARS46 4.745950e-03
6 STARS01 STARS06 4.718648e-03
1981 STARS39 STARS43 4.687319e-03
333 STARS07 STARS27 4.682375e-03
801 STARS16 STARS36 4.653489e-03
1103 STARS22 STARS32 4.619723e-03
173 STARS04 STARS20 4.615506e-03
969 STARS19 STARS51 4.590322e-03
1928 STARS38 STARS41 4.577660e-03
1724 STARS34 STARS41 4.533498e-03
743 STARS15 STARS29 4.460935e-03
746 STARS15 STARS32 4.451684e-03
1514 STARS30 STARS35 4.426830e-03
2345 STARS46 STARS50 4.417125e-03
812 STARS16 STARS47 4.381564e-03
61 STARS02 STARS10 4.354525e-03
377 STARS08 STARS20 4.339083e-03
242 STARS05 STARS38 4.283337e-03
330 STARS07 STARS24 4.268122e-03
495 STARS10 STARS36 4.178709e-03
185 STARS04 STARS32 4.171591e-03
42 STARS01 STARS42 4.158803e-03
338 STARS07 STARS32 4.146620e-03
855 STARS17 STARS39 4.142956e-03
1458 STARS29 STARS30 4.140416e-03
1211 STARS24 STARS38 4.129996e-03
635 STARS13 STARS23 4.129003e-03
1420 STARS28 STARS43 4.102349e-03
1732 STARS34 STARS49 4.079023e-03
1770 STARS35 STARS36 4.074155e-03
509 STARS10 STARS50 4.066022e-03
402 STARS08 STARS45 4.050084e-03
197 STARS04 STARS44 4.044373e-03
329 STARS07 STARS23 4.005873e-03
395 STARS08 STARS38 3.971284e-03
237 STARS05 STARS33 3.929088e-03
1111 STARS22 STARS40 3.887902e-03
1365 STARS27 STARS39 3.865574e-03
381 STARS08 STARS24 3.844618e-03
234 STARS05 STARS30 3.811975e-03
1218 STARS24 STARS45 3.801698e-03
455 STARS09 STARS47 3.800281e-03
306 STARS06 STARS51 3.796091e-03
1618 STARS32 STARS37 3.795736e-03
1363 STARS27 STARS37 3.761516e-03
704 STARS14 STARS41 3.751303e-03
541 STARS11 STARS31 3.719582e-03
41 STARS01 STARS41 3.683100e-03
23 STARS01 STARS23 3.655780e-03
1153 STARS23 STARS31 3.643165e-03
1148 STARS23 STARS26 3.600355e-03
177 STARS04 STARS24 3.589044e-03
892 STARS18 STARS25 3.587596e-03
119 STARS03 STARS17 3.549592e-03
1322 STARS26 STARS47 3.547773e-03
893 STARS18 STARS26 3.546349e-03
1471 STARS29 STARS43 3.524358e-03
1213 STARS24 STARS40 3.522977e-03
687 STARS14 STARS24 3.521948e-03
643 STARS13 STARS31 3.490074e-03
594 STARS12 STARS33 3.475183e-03
434 STARS09 STARS26 3.469365e-03
107 STARS03 STARS05 3.468737e-03
342 STARS07 STARS36 3.467402e-03
478 STARS10 STARS19 3.462857e-03
2294 STARS45 STARS50 3.461215e-03
657 STARS13 STARS45 3.460941e-03
652 STARS13 STARS40 3.408983e-03
1104 STARS22 STARS33 3.396024e-03
1170 STARS23 STARS48 3.389463e-03
1122 STARS22 STARS51 3.383980e-03
534 STARS11 STARS24 3.383630e-03
697 STARS14 STARS34 3.364690e-03
1271 STARS25 STARS47 3.358482e-03
3 STARS01 STARS03 3.351502e-03
585 STARS12 STARS24 3.333964e-03
756 STARS15 STARS42 3.320609e-03
1782 STARS35 STARS48 3.305087e-03
1883 STARS37 STARS47 3.290853e-03
589 STARS12 STARS28 3.266913e-03
702 STARS14 STARS39 3.243243e-03
1221 STARS24 STARS48 3.211534e-03
649 STARS13 STARS37 3.198073e-03
660 STARS13 STARS48 3.197868e-03
354 STARS07 STARS48 3.194707e-03
2139 STARS42 STARS48 3.173164e-03
432 STARS09 STARS24 3.134981e-03
740 STARS15 STARS26 3.112468e-03
1049 STARS21 STARS29 3.102953e-03
137 STARS03 STARS35 3.102443e-03
219 STARS05 STARS15 3.100620e-03
232 STARS05 STARS28 3.086047e-03
192 STARS04 STARS39 3.080352e-03
380 STARS08 STARS23 3.077024e-03
604 STARS12 STARS43 3.076908e-03
115 STARS03 STARS13 3.071098e-03
1106 STARS22 STARS35 3.062530e-03
138 STARS03 STARS36 3.015966e-03
949 STARS19 STARS31 2.996844e-03
960 STARS19 STARS42 2.972312e-03
758 STARS15 STARS44 2.963723e-03
72 STARS02 STARS21 2.959243e-03
301 STARS06 STARS46 2.935755e-03
546 STARS11 STARS36 2.929756e-03
958 STARS19 STARS40 2.914650e-03
1725 STARS34 STARS42 2.908881e-03
47 STARS01 STARS47 2.890717e-03
561 STARS11 STARS51 2.888169e-03
247 STARS05 STARS43 2.854347e-03
550 STARS11 STARS40 2.808118e-03
1253 STARS25 STARS29 2.785413e-03
236 STARS05 STARS32 2.779486e-03
864 STARS17 STARS48 2.776780e-03
1273 STARS25 STARS49 2.758452e-03
951 STARS19 STARS33 2.754696e-03
494 STARS10 STARS35 2.753543e-03
591 STARS12 STARS30 2.746556e-03
602 STARS12 STARS41 2.737556e-03
485 STARS10 STARS26 2.727531e-03
1937 STARS38 STARS50 2.727353e-03
43 STARS01 STARS43 2.687318e-03
556 STARS11 STARS46 2.679694e-03
1619 STARS32 STARS38 2.659499e-03
544 STARS11 STARS34 2.655846e-03
2086 STARS41 STARS46 2.618931e-03
400 STARS08 STARS43 2.613204e-03
20 STARS01 STARS20 2.591329e-03
249 STARS05 STARS45 2.550092e-03
1885 STARS37 STARS49 2.549363e-03
179 STARS04 STARS26 2.530883e-03
593 STARS12 STARS32 2.526336e-03
802 STARS16 STARS37 2.520836e-03
1407 STARS28 STARS30 2.510300e-03
1326 STARS26 STARS51 2.494976e-03
482 STARS10 STARS23 2.463273e-03
436 STARS09 STARS28 2.462421e-03
16 STARS01 STARS16 2.461753e-03
33 STARS01 STARS33 2.449066e-03
510 STARS10 STARS51 2.448656e-03
554 STARS11 STARS44 2.442680e-03
296 STARS06 STARS41 2.355581e-03
1115 STARS22 STARS44 2.315869e-03
689 STARS14 STARS26 2.292795e-03
730 STARS15 STARS16 2.280981e-03
592 STARS12 STARS31 2.276456e-03
150 STARS03 STARS48 2.268027e-03
1826 STARS36 STARS41 2.267145e-03
838 STARS17 STARS22 2.262380e-03
791 STARS16 STARS26 2.246658e-03
700 STARS14 STARS37 2.241039e-03
404 STARS08 STARS47 2.238026e-03
1172 STARS23 STARS50 2.221878e-03
548 STARS11 STARS38 2.206468e-03
841 STARS17 STARS25 2.206168e-03
401 STARS08 STARS44 2.184684e-03
655 STARS13 STARS43 2.174058e-03
741 STARS15 STARS27 2.173729e-03
1822 STARS36 STARS37 2.165007e-03
1256 STARS25 STARS32 2.163932e-03
18 STARS01 STARS18 2.161047e-03
1251 STARS25 STARS27 2.159854e-03
1050 STARS21 STARS30 2.152599e-03
898 STARS18 STARS31 2.150403e-03
292 STARS06 STARS37 2.145994e-03
1562 STARS31 STARS32 2.136717e-03
1877 STARS37 STARS41 2.120791e-03
1160 STARS23 STARS38 2.112513e-03
1579 STARS31 STARS49 2.096024e-03
231 STARS05 STARS27 2.068258e-03
1147 STARS23 STARS25 2.020296e-03
808 STARS16 STARS43 2.014633e-03
214 STARS05 STARS10 1.999324e-03
842 STARS17 STARS26 1.987159e-03
1252 STARS25 STARS28 1.979786e-03
1571 STARS31 STARS41 1.972648e-03
76 STARS02 STARS25 1.950592e-03
1066 STARS21 STARS46 1.945866e-03
198 STARS04 STARS45 1.934040e-03
194 STARS04 STARS41 1.923265e-03
852 STARS17 STARS36 1.917001e-03
497 STARS10 STARS38 1.904957e-03
1516 STARS30 STARS37 1.892802e-03
1121 STARS22 STARS50 1.870093e-03
1615 STARS32 STARS34 1.865266e-03
1524 STARS30 STARS45 1.853136e-03
696 STARS14 STARS33 1.853034e-03
646 STARS13 STARS34 1.845630e-03
1307 STARS26 STARS32 1.844098e-03
288 STARS06 STARS33 1.843490e-03
1209 STARS24 STARS36 1.836850e-03
753 STARS15 STARS39 1.836501e-03
1517 STARS30 STARS38 1.752117e-03
285 STARS06 STARS30 1.730242e-03
712 STARS14 STARS49 1.675503e-03
1408 STARS28 STARS31 1.659421e-03
654 STARS13 STARS42 1.647039e-03
810 STARS16 STARS45 1.638606e-03
1112 STARS22 STARS41 1.635045e-03
814 STARS16 STARS49 1.619438e-03
693 STARS14 STARS30 1.612644e-03
1113 STARS22 STARS42 1.606469e-03
423 STARS09 STARS15 1.603946e-03
1052 STARS21 STARS32 1.601132e-03
441 STARS09 STARS33 1.595943e-03
709 STARS14 STARS46 1.588912e-03
459 STARS09 STARS51 1.557919e-03
803 STARS16 STARS38 1.546171e-03
487 STARS10 STARS28 1.538027e-03
1067 STARS21 STARS47 1.537514e-03
88 STARS02 STARS37 1.533552e-03
749 STARS15 STARS35 1.532641e-03
845 STARS17 STARS29 1.525887e-03
238 STARS05 STARS34 1.505056e-03
66 STARS02 STARS15 1.469290e-03
335 STARS07 STARS29 1.467689e-03
1057 STARS21 STARS37 1.465948e-03
759 STARS15 STARS45 1.465628e-03
44 STARS01 STARS44 1.454777e-03
437 STARS09 STARS29 1.453246e-03
113 STARS03 STARS11 1.447046e-03
1156 STARS23 STARS34 1.443352e-03
276 STARS06 STARS21 1.439332e-03
343 STARS07 STARS37 1.430687e-03
1097 STARS22 STARS26 1.430449e-03
28 STARS01 STARS28 1.427966e-03
263 STARS06 STARS08 1.427498e-03
945 STARS19 STARS27 1.425371e-03
910 STARS18 STARS43 1.417052e-03
102 STARS02 STARS51 1.410950e-03
804 STARS16 STARS39 1.400876e-03
900 STARS18 STARS33 1.397434e-03
2142 STARS42 STARS51 1.344213e-03
1360 STARS27 STARS34 1.335853e-03
947 STARS19 STARS29 1.335617e-03
287 STARS06 STARS32 1.327879e-03
339 STARS07 STARS33 1.321720e-03
506 STARS10 STARS47 1.321719e-03
135 STARS03 STARS33 1.308523e-03
1984 STARS39 STARS46 1.308004e-03
545 STARS11 STARS35 1.295885e-03
241 STARS05 STARS37 1.271531e-03
640 STARS13 STARS28 1.265714e-03
1154 STARS23 STARS32 1.259268e-03
280 STARS06 STARS25 1.256322e-03
245 STARS05 STARS41 1.245957e-03
1305 STARS26 STARS30 1.234152e-03
555 STARS11 STARS45 1.227188e-03
73 STARS02 STARS22 1.221615e-03
996 STARS20 STARS27 1.212591e-03
440 STARS09 STARS32 1.210779e-03
1168 STARS23 STARS46 1.198267e-03
230 STARS05 STARS26 1.196601e-03
551 STARS11 STARS41 1.147163e-03
599 STARS12 STARS38 1.145275e-03
1173 STARS23 STARS51 1.129240e-03
867 STARS17 STARS51 1.128044e-03
653 STARS13 STARS41 1.112421e-03
1018 STARS20 STARS49 1.110409e-03
854 STARS17 STARS38 1.110229e-03
201 STARS04 STARS48 1.103847e-03
588 STARS12 STARS27 1.091084e-03
647 STARS13 STARS35 1.086035e-03
26 STARS01 STARS26 1.077218e-03
83 STARS02 STARS32 1.056122e-03
1063 STARS21 STARS43 1.050599e-03
1069 STARS21 STARS49 1.048349e-03
392 STARS08 STARS35 1.039899e-03
1979 STARS39 STARS41 1.036116e-03
644 STARS13 STARS32 1.031832e-03
124 STARS03 STARS22 1.021918e-03
356 STARS07 STARS50 1.009227e-03
952 STARS19 STARS34 1.008117e-03
1207 STARS24 STARS34 1.000728e-03
1617 STARS32 STARS36 9.963798e-04
1629 STARS32 STARS48 9.945405e-04
967 STARS19 STARS49 9.917059e-04
75 STARS02 STARS24 9.916562e-04
139 STARS03 STARS37 9.879715e-04
690 STARS14 STARS27 9.748531e-04
282 STARS06 STARS27 9.723087e-04
755 STARS15 STARS41 9.708881e-04
2343 STARS46 STARS48 9.639964e-04
606 STARS12 STARS45 9.463102e-04
1155 STARS23 STARS33 9.448072e-04
549 STARS11 STARS39 9.389674e-04
731 STARS15 STARS17 9.315746e-04
1064 STARS21 STARS44 9.285713e-04
692 STARS14 STARS29 9.119258e-04
750 STARS15 STARS36 9.072765e-04
349 STARS07 STARS43 9.022300e-04
67 STARS02 STARS16 8.952007e-04
196 STARS04 STARS43 8.774930e-04
1159 STARS23 STARS37 8.761144e-04
271 STARS06 STARS16 8.698633e-04
805 STARS16 STARS40 8.523939e-04
239 STARS05 STARS35 8.441144e-04
961 STARS19 STARS43 8.425544e-04
905 STARS18 STARS38 8.414358e-04
265 STARS06 STARS10 8.376014e-04
442 STARS09 STARS34 8.362062e-04
144 STARS03 STARS42 8.328761e-04
956 STARS19 STARS38 8.289955e-04
94 STARS02 STARS43 8.275578e-04
995 STARS20 STARS26 8.209807e-04
734 STARS15 STARS20 8.198083e-04
283 STARS06 STARS28 8.187765e-04
2035 STARS40 STARS46 8.151078e-04
706 STARS14 STARS43 8.087916e-04
1099 STARS22 STARS28 8.083888e-04
598 STARS12 STARS37 8.048415e-04
1459 STARS29 STARS31 8.047922e-04
2137 STARS42 STARS46 7.951857e-04
2192 STARS43 STARS50 7.798931e-04
1005 STARS20 STARS36 7.776808e-04
903 STARS18 STARS36 7.725786e-04
1046 STARS21 STARS26 7.725718e-04
800 STARS16 STARS35 7.688121e-04
334 STARS07 STARS28 7.673967e-04
406 STARS08 STARS49 7.627524e-04
1048 STARS21 STARS28 7.358922e-04
142 STARS03 STARS40 7.358757e-04
795 STARS16 STARS30 7.283879e-04
1011 STARS20 STARS42 7.266040e-04
1466 STARS29 STARS38 7.199675e-04
508 STARS10 STARS49 7.191652e-04
860 STARS17 STARS44 6.921123e-04
504 STARS10 STARS45 6.860166e-04
182 STARS04 STARS29 6.845145e-04
253 STARS05 STARS49 6.826425e-04
703 STARS14 STARS40 6.713480e-04
708 STARS14 STARS45 6.699535e-04
443 STARS09 STARS35 6.650440e-04
538 STARS11 STARS28 6.548886e-04
498 STARS10 STARS39 6.449921e-04
202 STARS04 STARS49 6.412417e-04
954 STARS19 STARS36 6.369965e-04
490 STARS10 STARS31 6.293430e-04
254 STARS05 STARS50 6.261003e-04
1151 STARS23 STARS29 6.229974e-04
452 STARS09 STARS44 6.215395e-04
108 STARS03 STARS06 6.179636e-04
180 STARS04 STARS27 6.154891e-04
1274 STARS25 STARS50 6.086659e-04
1878 STARS37 STARS42 5.970802e-04
609 STARS12 STARS48 5.927545e-04
601 STARS12 STARS40 5.871178e-04
793 STARS16 STARS28 5.867289e-04
1150 STARS23 STARS28 5.855709e-04
457 STARS09 STARS49 5.855200e-04
297 STARS06 STARS42 5.836983e-04
246 STARS05 STARS42 5.812458e-04
537 STARS11 STARS27 5.805954e-04
797 STARS16 STARS32 5.739933e-04
188 STARS04 STARS35 5.711852e-04
451 STARS09 STARS43 5.670391e-04
963 STARS19 STARS45 5.661275e-04
943 STARS19 STARS25 5.624874e-04
433 STARS09 STARS25 5.478000e-04
894 STARS18 STARS27 5.458626e-04
336 STARS07 STARS30 5.421059e-04
1198 STARS24 STARS25 5.376302e-04
946 STARS19 STARS28 5.340255e-04
293 STARS06 STARS38 5.270093e-04
493 STARS10 STARS34 5.203678e-04
1166 STARS23 STARS44 5.100907e-04
913 STARS18 STARS46 5.092446e-04
110 STARS03 STARS08 5.038309e-04
186 STARS04 STARS33 5.026170e-04
248 STARS05 STARS44 4.787629e-04
1001 STARS20 STARS32 4.685662e-04
502 STARS10 STARS43 4.641397e-04
1006 STARS20 STARS37 4.554245e-04
1165 STARS23 STARS43 4.523562e-04
300 STARS06 STARS45 4.522644e-04
295 STARS06 STARS40 4.507319e-04
953 STARS19 STARS35 4.485845e-04
539 STARS11 STARS29 4.455454e-04
141 STARS03 STARS39 4.444583e-04
346 STARS07 STARS40 4.349483e-04
907 STARS18 STARS40 4.290470e-04
552 STARS11 STARS42 4.283403e-04
798 STARS16 STARS33 4.274713e-04
391 STARS08 STARS34 4.232574e-04
968 STARS19 STARS50 4.216642e-04
29 STARS01 STARS29 4.193766e-04
1108 STARS22 STARS37 4.129780e-04
909 STARS18 STARS42 4.081562e-04
252 STARS05 STARS48 4.037197e-04
559 STARS11 STARS49 3.978277e-04
1364 STARS27 STARS38 3.895141e-04
286 STARS06 STARS31 3.690776e-04
447 STARS09 STARS39 3.626202e-04
1146 STARS23 STARS24 3.558289e-04
1065 STARS21 STARS45 3.513236e-04
1572 STARS31 STARS42 3.393848e-04
453 STARS09 STARS45 3.302901e-04
1149 STARS23 STARS27 3.300385e-04
916 STARS18 STARS49 3.271696e-04
298 STARS06 STARS43 3.230047e-04
1010 STARS20 STARS41 3.142957e-04
1980 STARS39 STARS42 3.086719e-04
1519 STARS30 STARS40 3.048105e-04
641 STARS13 STARS29 2.894020e-04
542 STARS11 STARS32 2.805873e-04
645 STARS13 STARS33 2.765010e-04
78 STARS02 STARS27 2.726866e-04
1357 STARS27 STARS31 2.655337e-04
558 STARS11 STARS48 2.574943e-04
651 STARS13 STARS39 2.531584e-04
891 STARS18 STARS24 2.505427e-04
99 STARS02 STARS48 2.451206e-04
895 STARS18 STARS28 2.424948e-04
997 STARS20 STARS28 2.400992e-04
1265 STARS25 STARS41 2.379656e-04
1000 STARS20 STARS31 2.308711e-04
1318 STARS26 STARS43 2.243599e-04
151 STARS03 STARS49 2.236304e-04
603 STARS12 STARS42 2.181451e-04
1158 STARS23 STARS36 2.123345e-04
662 STARS13 STARS50 2.083889e-04
90 STARS02 STARS39 2.069241e-04
337 STARS07 STARS31 2.055561e-04
1212 STARS24 STARS39 2.027751e-04
130 STARS03 STARS28 2.019803e-04
1580 STARS31 STARS50 1.995411e-04
114 STARS03 STARS12 1.991213e-04
199 STARS04 STARS46 1.981844e-04
1204 STARS24 STARS31 1.969211e-04
1377 STARS27 STARS51 1.939503e-04
540 STARS11 STARS30 1.936519e-04
350 STARS07 STARS44 1.934323e-04
129 STARS03 STARS27 1.915404e-04
695 STARS14 STARS32 1.829062e-04
536 STARS11 STARS26 1.789036e-04
332 STARS07 STARS26 1.780943e-04
747 STARS15 STARS33 1.746924e-04
902 STARS18 STARS35 1.717681e-04
1053 STARS21 STARS33 1.699375e-04
54 STARS02 STARS03 1.678418e-04
1780 STARS35 STARS46 1.642236e-04
483 STARS10 STARS24 1.548369e-04
1047 STARS21 STARS27 1.520848e-04
46 STARS01 STARS46 1.503205e-04
243 STARS05 STARS39 1.495011e-04
87 STARS02 STARS36 1.472346e-04
503 STARS10 STARS44 1.441512e-04
1620 STARS32 STARS39 1.398412e-04
698 STARS14 STARS35 1.393149e-04
403 STARS08 STARS46 1.390450e-04
966 STARS19 STARS48 1.373876e-04
126 STARS03 STARS24 1.307698e-04
638 STARS13 STARS26 1.250104e-04
590 STARS12 STARS29 1.151689e-04
19 STARS01 STARS19 1.150536e-04
642 STARS13 STARS30 1.121458e-04
117 STARS03 STARS15 1.081127e-04
901 STARS18 STARS34 1.020986e-04
658 STARS13 STARS46 1.010403e-04
152 STARS03 STARS50 9.742928e-05
794 STARS16 STARS29 9.365727e-05
373 STARS08 STARS16 9.280267e-05
1988 STARS39 STARS50 9.247441e-05
341 STARS07 STARS35 9.194094e-05
1101 STARS22 STARS30 8.811118e-05
761 STARS15 STARS47 8.761434e-05
543 STARS11 STARS33 8.516280e-05
143 STARS03 STARS41 8.504834e-05
2091 STARS41 STARS51 8.388606e-05
596 STARS12 STARS35 8.229280e-05
388 STARS08 STARS31 7.710951e-05
96 STARS02 STARS45 7.500484e-05
92 STARS02 STARS41 7.359147e-05
50 STARS01 STARS50 7.131152e-05
2088 STARS41 STARS48 6.939425e-05
763 STARS15 STARS49 6.930645e-05
789 STARS16 STARS24 6.928701e-05
912 STARS18 STARS45 6.897715e-05
844 STARS17 STARS28 6.854089e-05
430 STARS09 STARS22 6.402481e-05
444 STARS09 STARS36 5.806182e-05
636 STARS13 STARS24 5.673840e-05
610 STARS12 STARS49 5.237753e-05
865 STARS17 STARS49 5.008797e-05
93 STARS02 STARS42 4.631762e-05
1157 STARS23 STARS35 4.584396e-05
1003 STARS20 STARS34 4.580495e-05
744 STARS15 STARS30 4.536735e-05
89 STARS02 STARS38 4.421471e-05
1015 STARS20 STARS46 4.011784e-05
661 STARS13 STARS49 3.550358e-05
1527 STARS30 STARS48 3.542033e-05
587 STARS12 STARS26 3.532224e-05
49 STARS01 STARS49 3.524792e-05
1062 STARS21 STARS42 3.407265e-05
742 STARS15 STARS28 3.393390e-05
600 STARS12 STARS39 2.647439e-05
1162 STARS23 STARS40 2.625123e-05
1515 STARS30 STARS36 2.179658e-05
9 STARS01 STARS09 2.005076e-05
79 STARS02 STARS28 1.994740e-05
806 STARS16 STARS41 1.938222e-05
203 STARS04 STARS50 1.663041e-05
340 STARS07 STARS34 1.282804e-05
81 STARS02 STARS30 1.176938e-05
352 STARS07 STARS46 9.902824e-06
1254 STARS25 STARS30 8.284383e-06
705 STARS14 STARS42 8.130755e-06
605 STARS12 STARS44 8.035605e-06
326 STARS07 STARS20 6.982941e-06
86 STARS02 STARS35 4.368750e-06
$wto$descriptives
mean sd minimum maximum median mad mad3 mad6 95% 99%
0.022 0.041 0.000 0.516 0.006 0.006 0.017 0.035 0.139 0.234
$wto$cut_off
[1] 0.25
$keep_remove
$keep_remove$keep
[1] "STARS03" "STARS06" "STARS08" "STARS09" "STARS32"
$keep_remove$remove
[1] "STARS01" "STARS02" "STARS10" "STARS16" "STARS17" "STARS30"
attr(,"methods")
attr(,"methods")$uva.method
[1] "MBR"
attr(,"methods")$cut.off
[1] 0.25
attr(,"methods")$reduce
[1] TRUE
attr(,"class")
[1] "UVA"Output 13 shows results of the UVA analysis on the STARS dataset. The results are categorized into different levels of redundancy. Firstly, variable pairs with wTO greater than 0.30 indicate large-to-very large redundancy, such as between STARS03 and STARS16 with a wTO of 0.516. Similarly, pairs with wTO above 0.25 suggest moderate-to-large redundancy, including STARS30 and STARS32 at 0.340. Further, pairs with wTO exceeding 0.20 indicate small-to-moderate redundancy, such as STARS19 and STARS23 with a wTO of 0.230. Additionally, the analysis identifies which variables were retained and which were removed. Variables such as STARS03, STARS06, and STARS32 were retained because they either have lower wTO values with others, while variables like STARS01, STARS02, and STARS10 were removed because they have high wTO values with others, indicating they are redundant compared to variables in the keep list.
To examine the data set after removing or processing the identified redundant variables, we can use the following codes:
head(stars_uva$reduced_data, 3) #call for the first three rows of the reduced dataset STARS03 STARS04 STARS05 STARS06 STARS07 STARS08 STARS09 STARS11 STARS12
[1,] 2 4 2 2 2 4 2 2 3
[2,] 4 5 5 3 5 5 2 4 5
[3,] 4 4 4 4 4 4 1 4 4
STARS13 STARS14 STARS15 STARS18 STARS19 STARS20 STARS21 STARS22 STARS23
[1,] 3 2 3 3 2 2 3 2 2
[2,] 5 4 5 4 4 4 5 5 4
[3,] 4 4 4 4 4 4 3 3 4
STARS24 STARS25 STARS26 STARS27 STARS28 STARS29 STARS31 STARS32 STARS33
[1,] 3 2 4 4 4 4 2 2 3
[2,] 5 5 4 4 4 5 3 5 5
[3,] 4 4 4 4 4 4 4 4 4
STARS34 STARS35 STARS36 STARS37 STARS38 STARS39 STARS40 STARS41 STARS42
[1,] 4 4 2 4 3 2 4 4 3
[2,] 4 4 5 5 5 4 5 4 4
[3,] 4 4 4 4 4 4 4 2 4
STARS43 STARS44 STARS45 STARS46 STARS47 STARS48 STARS49 STARS50 STARS51
[1,] 2 2 3 2 2 3 3 4 3
[2,] 5 5 2 4 4 2 4 5 4
[3,] 4 4 4 4 4 4 4 4 4To assess whether the removal of redundant variables improves the model fit, we can compare the CFA fit between the network structure of the original and the reduced STARS dataset. This can be accomplished as follows:
#Perform EGA with the original STARS dataset
stars_ega <- EGA(data = df_stars)
stars_ega_cfa <- EGAnet::CFA(ega.obj = stars_ega, estimator = "WLSMV",
plot.CFA = FALSE,
data = df_stars)
stars_fitMeasure <- lavaan::fitMeasures(stars_ega_cfa$fit, fit.measures = c("chisq", "df", "pvalue", "cfi", "tli", "rmsea", "srmr"))
#Perform EGA with the reduced STARS dataset
stars_reduced_ega <- EGA(data = stars_uva$reduced_data)
stars_reduced_ega_cfa <- EGAnet::CFA(ega.obj = stars_reduced_ega, estimator = "WLSMV",
plot.CFA = FALSE,
data = stars_uva$reduced_data)
stars_uva_fitMeasure <- lavaan::fitMeasures(stars_reduced_ega_cfa$fit, fit.measures = c("chisq", "df", "pvalue", "cfi", "tli", "rmsea", "srmr"))Output 14. Model Fit Indices of the Original and the Reduced STARS Dataset
#compare fit
stars_fitMeasure chisq df pvalue cfi tli rmsea srmr
3329.504 1209.000 0.000 0.978 0.977 0.093 0.092 stars_uva_fitMeasure chisq df pvalue cfi tli rmsea srmr
1774.707 935.000 0.000 0.989 0.989 0.067 0.075 Output 14 shows model fit indices of the network structure of both reduced and original STARS dataset, as produced by the EGA method. Both models show a statistically significant fit (p < 0.001), which could be due to a large number of sample sizes. The original model has a CFI of 0.978 and a TLI of 0.977, both of which suggest a good fit as they are close to 1. However, the RMSEA of 0.093 (between 0.08 and 0.1 = marginal fit) and the SRMR of 0.092 (> 0.08 = poor fit) are relatively high, suggesting some model misfit.
On the other hand, the reduced model has a CFI of 0.989 and a TLI of 0.989, both of which suggest a relatively better fit than the original model. Additionally, the RMSEA of 0.067 (between 0.08 and 0.08 = acceptable fit) and the SRMR of 0.075 (< 0.08 = good fit) are lower, indicating a better fit to the data with less approximation error and better residuals. Overall, the reduced model demonstrates a superior fit compared to the original model, as evidenced by higher CFI and TLI values and lower RMSEA and SRMR values.
4 Concluding Remarks
In the learning analytics environment, understanding the various variables that reflect students’ learning as an interconnected system is essential. This chapter discusses the advanced application of the network psychometrics approach to understand such a complex system by visualizing them with the EGA method, as well as assessing the robustness of such structures with metrics such as dimension stability, CFA metrics, and TEFI. In other words, the advanced applications of psychological networks through EGA offer a robust framework for understanding the complex relationships between variables in educational assessments.
These demonstrated techniques allow researchers to identify key variables and their interactions, assess the stability and integrity of these systems, and monitor changes at different units of assessment (i.e., population, group, and individual). These methods yield insights into educational data, facilitating more informed decision-making and strategy development to enhance student learning outcomes.
The practical applications of these methods are diverse. Our SAS and SPOT analysis revealed highly stable dimensions of the instruments; these results can be used to inform the interpretations and uses of the instrument according to the discovered statistical evidence [28]. For example, the SPOT instrument can be used to guide faculty development programs or inform targeted mentoring programs based on specific dimensions like teaching effectiveness and student engagement, rather than using general approaches.
Our Dynamic EGA results demonstrated how network analysis can inform personalized interventions at different levels. At the group level, we found distinct learning patterns: Group 1 showed a more stable two-community structure, suggesting the effectiveness of streamlined interventions focusing on strong connections between basic concepts. In contrast, Group 2’s three-community structure indicates the need for more nuanced, multi-phase learning approaches as the connection between dimensions are relatively weaker. Similar approaches can also be adopted to design a person-specific approach to intervention as informed by the individual-level results.
Furthermore, our UVA findings demonstrate how network analysis can optimize curriculum design by identifying and addressing redundancies in assessment strategies. For example, when redundancy is detected between similar assessment metrics like homework completion and assignment timeliness, educators can focus on the more predictive measure, enhancing assessment efficiency while maintaining effectiveness.
In summary, these advanced techniques serve as powerful tools in the field of learning analytics by offering more effective methods for educational measurement, which can inform and improve teaching strategies in modern education. The combination of robust statistical analysis with practical applications enables educators to make data-driven decisions while maintaining pedagogical flexibility and responsiveness to individual student needs.
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