Kruskal–Wallis
Checks whether any group differs.
First check all groups. Then find which pairs differ.
Three simple stages explain the result.
Checks whether any group differs.
Compares groups two at a time.
Adjustments reduce false alarms when many pairs are tested.
A small p-value does not show how large or useful a difference is.
These methods reduce false positives when many pairs are tested.
| Approach | General idea | In simple terms |
|---|---|---|
| Bonferroni | Uses a stricter cutoff. | Simple and cautious. |
| Benjamini–Hochberg FDR | Limits false discoveries. | Useful for many comparisons. |
| Holm–Sidak | Adjusts cutoffs step by step. | Controls false positives. |