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Is it possible to use the Kruskal-Wallis test for two factors and their interaction (i.e., two way ANOVA: Y~a*b)? And which post-hoc test is possible to use after the Kruskal-Wallis test?

Nick Cox
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Giorgia
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    Regarding post-hoc tests, the Mann-Whitney U-test is a natural choice following a Kruskal-Wallis test. In R, this can be conducted with ?wilcox.test. You may (or may not) want to use an alpha adjustment (eg, Bonferroni correction) to address the multiple comparisons issue. – gung - Reinstate Monica Jun 27 '14 at 17:50
  • Kruskal-Wallis is only one-way; several post hocs designed for Kruskal-Wallis include Dunn, Conover-Iman and Dwass-Steel-Critchlow-Fligner. – Glen_b Jul 05 '15 at 08:58

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