Quick guide
How to use this calculator
- Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
- Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
- Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.
Calculation method
How the kruskal–wallis test calculator works
H=[12/(N(N+1))]Σ(Ri²/ni)−3(N+1), corrected for ties.
A significant result indicates some stochastic group difference, not which pairs differ.
Worked example
Kruskal–Wallis Test example
Three groups entered on separate lines are ranked together before group rank sums are compared.
H=[12/(N(N+1))]Σ(Ri²/ni)−3(N+1), corrected for ties.
Supported inputs
Precision and limits
Model and design
Groups must be independent with ordinal or numeric observations; median language requires comparable distribution shapes.
Input scope
Category lists accept up to 10,000 nonblank observations and render up to 200 distinct labels. Matching trims outer whitespace but remains case-sensitive; no numeric ordering or distance is inferred.
Interpretation
A significant result indicates some stochastic group difference, not which pairs differ.
Decision boundary
The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.
Privacy
Entered values and calculated results stay in this browser and are not sent to an analytics service.
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