where the correction in [15] is used for the empirical cumulative distribution. The binary network derived by the p-values of the randomization significance test is called P-VALUE-R. The correction of FDR is applied also to the p-values of the randomization tests and this method for constructing binary networks is called FDR-R. The p-values from the parametric test and the randomization test, and also the corrections with FDR, are defined for the significance of both rji(τ) or ϕji(τ) at a predefined α =0.05.
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The reduction of correlation with the ED is observed in many episodes but not all. Representative results for the average degree on binary networks given by the method FDR-R and the rji(0) are shown in Figure 4 for the 10 episodes with TMS (preED, preTMS, postTMS) and the 10 episodes without TMS (preED, ED). In the majority of cases, TMS tends to change correlation towards the average level of correlation at the preED state, which corresponds to about 4 degrees per node on average. For the 10 episodes without TMS, we observe that in all but three episodes the average degree gets smaller during ED, and this decrease is also observed when TMS is present (comparing preED and preTMS). It is notable that the level of preED is not the same across episodes, which justifies the use of paired comparisons (preED-ED, preED-preTMS and preED-postTMS).
The average degree on binary networks given by the method FDR-R and rji(0) for the 10 episodes with TMS (the three values at each episode correspond to preED, preTMS and postTMS) in (a) and the 10 episodes without TMS (the two values correspond to preED and ED) in (b).
The p-values of the paired t-test and the AUROC values computed on the average degree for the paired comparisons preED-preTMS and preED-postTMS for the 10 episodes with TMS and preED-ED for the 10 episodes without TMS for the method constructing binary networks, cross-correlation rji(τ) and partial cross-correlation ϕji(τ) for τ = 0 and τ = 1.
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