Full Statistical Assumption and Robustness Analyses for Two-Way ANOVA

This supplementary document provides comprehensive methodological details supporting the two-way ANOVA results reported in Section 4.2 of the main manuscript. It includes full descriptive statistics by academic discipline and gender, Levene’s tests for homogeneity of variances, Shapiro–Wilk tests for normality, and detailed convergence analyses between parametric and non-parametric post hoc tests. All analyses were conducted in R (v4.3.1) using the packages tidyverse, rstatix, emmeans, PMCMRplus, and lmerTest.