6.5.2 The Kruskal-Wallis Test

The Kruskal-Wallis test extends the logic of the Mann-Whitney U test to more than two independent groups, serving as the non-parametric analogue of one-way...

The Kruskal-Wallis test extends the logic of the Mann-Whitney U test to more than two independent groups, serving as the non-parametric analogue of one-way ANOVA. A significant Kruskal-Wallis result indicates that at least one group's rank distribution differs from the others, and must be followed by an appropriate post-hoc test — most commonly Dunn's test with Bonferroni correction — to identify which specific pairs of groups differ, exactly paralleling the logic of ANOVA post-hoc testing described above.