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Tukeys Honest Significant Difference (HSD) is a multiple comparison method based on the studentized range distribution.

11 votes
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When to correct p-values in multiple comparisons?

Answer to question 1 You need to adjust for multiple comparisons if you care about the probability at which you will make a Type I error. A simple combination of metaphor/thought experiment may help: …
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4 votes
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One of my groups (out of 3) doesn't have normal distribution, while a One-way Anova showed u...

If the assumption of normality for one-way ANOVA does not hold, you can turn to a nonparametric analog to the one-way ANOVA: the Kruskal-Wallis test. Just as the assumption of normality underlying the …
Alexis's user avatar
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14 votes

Are pairwise Wilcoxon tests a valid non-parametric alternative to Tukey's HSD test?

No, it is not a valid nonparametric alternative. The rank sum test (either original Wilcoxon flavor, or New Improved Mann-Whitney $U$ varieties): ignore the rankings used by the Kruskal-Wallis test …
Alexis's user avatar
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