Statistics

Why AutoDunn uses more than one test.

First check all groups. Then find which pairs differ.

First the whole set, then the pairs

Three simple stages explain the result.

Stage 1

Kruskal–Wallis

Checks whether any group differs.

Stage 2

Dunn pair comparisons

Compares groups two at a time.

Stage 3

Adjusted p-values

Adjustments reduce false alarms when many pairs are tested.

A small p-value does not tell the whole story.

A small p-value does not show how large or useful a difference is.

Also check: plots, data quality, group sizes, and real-world meaning.
test results + visuals + real-world context
better interpretation

Ways to adjust p-values

These methods reduce false positives when many pairs are tested.

ApproachGeneral ideaIn simple terms
BonferroniUses a stricter cutoff.Simple and cautious.
Benjamini–Hochberg FDRLimits false discoveries.Useful for many comparisons.
Holm–SidakAdjusts cutoffs step by step.Controls false positives.