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Dunn's test is a non-parametric pairwise multiple comparisons procedure based on rank sums, often used as a *post hoc* procedure following rejection of a Kruskal–Wallis test. As such, it is a non-parametric analog to multiple pairwise *t* tests following rejection of an ANOVA null hypothesis.

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Dunn test and specific comparisons

You could use dunn.test() to calculate the unadjusted p-values (you have to provide a method before it will perform adjustments for multiplicity, otherwise the p-values are unadjusted and so not penal …
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