Kruskal-Wallis test calculator

Calculate tie-corrected Kruskal–Wallis H and degrees of freedom with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use tie-corrected Kruskal–Wallis H and degrees of freedom to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Independent groups JSON
[[1,3,4],[5,7,8],[2,6,9]]
Tie-corrected Kruskal–Wallis H
3.466667
Degrees of freedom
2
Asymptotic upper-tail p value
0.176694

Try another scenario

Independent groups JSON
[[2,3,4],[5,7,8],[2,6,9]]
Tie-corrected Kruskal–Wallis H
3.114846
Degrees of freedom
2
Asymptotic upper-tail p value
0.210678
Calculation method

Calculation method

Tie-corrected Kruskal–Wallis H

Ranks pooled, H=12/(N(N+1))sum(Rj²/nj)-3(N+1), divided by tie correction.

Degrees of freedom

Ranks pooled, H=12/(N(N+1))sum(Rj²/nj)-3(N+1), divided by tie correction.

Asymptotic upper-tail p value

Ranks pooled, H=12/(N(N+1))sum(Rj²/nj)-3(N+1), divided by tie correction.

Symbols and units
a
Independent groups JSON

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Calculation steps and notation

sum(list) adds all entries in the list.

Assumptions & limits

Assumptions & limits

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Ranks pooled, H=12/(N(N+1))sum(Rj²/nj)-3(N+1), divided by tie correction.
Are these inputs private?

These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.

Further reading

Method reference ↗

Background reading; this does not imply endorsement or independent review of SumFizz.

Share this page
Share this calculator

Leave unchecked to share the page without your entered values.