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Tukeys Honest Significant Difference (HSD) is a multiple comparison method based on the studentized range distribution.
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 …
11
votes
Accepted
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:
…
4
votes
Accepted
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 …