Moreover, given the normal distribution of the variables, the relationships between the six dimensions of the PGWBI (anxiety, depression, positive well-being, self-control, general health, and vitality) were examined using Pearson’s correlation coefficients and interpreted as weak (r = 0.1–0.3), moderate (r = 0.3–0.5), or strong (r > 0.5) [46 ]. The strength and direction of the correlations were analyzed to identify significant associations between dimensions and corresponding p-values were calculated. A significance level of p < 0.05 was used for all statistical tests.
In addition, a psychometric network analysis was performed using JASP (Version 0.19.0) [47 ] to disentangle the relationships among the six dimensions of the PGWBI. The analysis was performed using a Gaussian Graphical Model (GGM) with pairwise partial correlations representing the edges (relationships) between nodes (PGWBI dimensions) [48 ]. To minimize the presence of spurious connections, the network model was estimated using the Graphical Least Absolute Shrinkage and Selection Operator (GLASSO) regularization algorithm [49 (link),50 (link),51 (link)].
This approach constrains low correlation values to zero, resulting in a sparse network, by eliminating likely spurious connections. The GLASSO algorithm employs a tuning parameter (λ) to control the sparsity of the network, where higher λ values lead to greater sparsity [49 (link),50 (link),52 ]. Then, the Extended Bayesian Information Criterion (EBIC) was employed as a model-selection criterion to identify and retrieve the most optimal network structure. A γ hyperparameter was set to 0.5 to balance sensitivity and specificity in edge detection [53 (link)].
This EBIC–GLASSO approach has been recognized for its effectiveness in accurately reconstructing true network structures [54 (link),55 (link)] in cases where the network is inherently sparse (i.e., contains relatively few connections). This method also demonstrates high specificity, effectively preventing the estimation of non-existent edges, though its sensitivity (i.e., accuracy in detecting existing connections) can vary.
Furthermore, the stability of the network model was assessed [56 (link)] using the correlation stability coefficient (CS-coefficient). CS-coefficient values higher or equal to 0.5 indicate optimal stability and values higher than 0.25 indicate moderate stability [56 (link),57 (link)].
In addition, centrality measures were computed, including strength, closeness, betweenness, and expected influence. Strength centrality indicates the number of edges (relationships) connected to a node. Closeness centrality measures the proximity of a node to all other nodes, reflecting its level of accessibility within the network. Betweenness centrality measures interactions between nodes, depending on the other nodes that lie on the same path [58 (link),59 (link),60 (link),61 (link),62 (link)]. Last, expected influence accounts for the sum of all positive and negative connections of a node, providing insight into its overall impact on the network.