Research Workbench

Kruskal–Wallis group comparison

Compare three or more independent groups using pooled ranks.

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Enter 3–20 groups with at least two values each; overall maximum is 500. P-values use a tie-adjusted chi-square approximation.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Tie-corrected H
5.3532028
Degrees of freedom
2
Asymptotic p
0.068796568
Minimum group size
4

How to interpret the output

The omnibus statistic compares group rank sums. It is not generally a test of medians unless distribution shapes are comparable. Small groups and heavy ties can require permutation inference; pairwise follow-up needs its own multiplicity plan.

Method reference

Source checked 2026-11-06. Read the reproducible calculator validation report.