Multifactor Nonparametric Rank-Based ANOVA with Post Hoc Tests
Count-balance chi-square diagnostics across factors
Datasets in factorH
factorH functions reference
Syntax and formula patterns
factorH: Multifactor rank-based ANOVA utilities
Levene/Brown-Forsythe test for full-plan cells
Compact descriptive tables (APA-style) with global rank means
Raw normality per subgroup (Shapiro–Wilk) across factor combinations
Plan-level diagnostics for ANOVA/rank-based workflows
Cellwise residual normality (Shapiro–Wilk) from ANOVA models
Global residual normality (Shapiro–Wilk) from ANOVA models
SRH with effect sizes for two-factor designs
Full pipeline: rank-based k-way ANOVA + descriptives + post hocs
K-way SRH on ranks with tie-corrected p-values and rank-based effect s...
Dunn post hoc in a symmetric matrix form (one specified effect)
Dunn post hoc tables (p.adj only) for all effects in a factorial desig...
Simple-effects post hoc (Dunn) with Bonferroni adjustment
Simple-effects post hoc tables for all possible effects (within-scope)
Write full SRH pipeline result to a TSV file
Multifactor nonparametric analysis of variance based on ranks. Builds on the Kruskal-Wallis H test and its 2x2 Scheirer-Ray-Hare extension to handle any factorial designs. Provides effect sizes, Dunn-Bonferroni pairwise-comparison matrices, and simple-effects analyses. Tailored for psychology and the social sciences, with beginner-friendly R syntax and outputs that can be dropped into journal reports. Includes helpers to export tab-separated results and compact tables of descriptive statistics (to APA-style reports).