The Kruskal-Wallis H test is the nonparametric equivalent of the two-way within-groups ANOVA.

Name: The Kruskal-Wallis H test is the nonparametric equivalent of the two-way within-groups ANOVA.
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The Kruskal-Wallis H test is the nonparametric equivalent of the one-way ANOVA, not the two-way within-groups ANOVA. It is used when the assumptions of the one-way ANOVA are not met, particularly when the data are not normally distributed.

The Kruskal-Wallis H Test Is the Nonparametric Equivalent of the Two-Way