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Chunk #31 — MATERIALS AND METHODS — Statistical Analysis

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Cross-frequency phase-amplitude coupling in repetitive movements in patients with Parkinson's disease.
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All analyses were performed in the brain regions contralateral to the hand that the subject used to perform the movement tasks. We mainly applied ANOVA tests to examine the main and interaction effects of the analysis factors. Since our data were not always Gaussian distributed and of equal variance, we applied a nonparametric ANOVA provided by the ARTool package (Aligned Rank Transform for nonparametric factorial ANOVAs) on R (36). This package applies the aligned rank transform to the responses of each main or interaction effect in the designed model and then runs a factorial ANOVA (type III Wald F tests with Kenward–Roger degrees of freedom) on the transformed data. For post hoc tests, we applied a nonparametric Wilcoxon rank-sum test for between-group comparisons and Wilcoxon signed-rank test for within-group comparisons across conditions and movement transitions. We performed post hoc tests after significant ANOVA effects were found. Detailed information on the selection of post-hoc tests is specified in the relevant Result sections. Moreover, we computed Spearman correlations between PAC, PSD, performance parameters, and clinical severity scores. The false discovery rate (FDR) correction was applied in multiple tests to avoid type I errors in null hypothesis testing.