Kruskal-Wallis Test Calculator

Kruskal-Wallis Test

Kruskal-Wallis Test Calculator

This calculator performs the Kruskal-Wallis H test, which compares three or more independent groups to determine if their population distributions differ.

Null hypothesis: All groups have identical distributions.

About the Kruskal-Wallis Test

The Kruskal-Wallis test is a nonparametric alternative to one-way ANOVA. It's used when your data isn't normally distributed or when you have ordinal data.

How to interpret results:

  • H statistic: The test statistic - higher values indicate greater difference between groups
  • p-value: Probability that the observed differences occurred by chance
  • If p-value ≤ α: Reject null hypothesis (distributions are different)
  • If p-value > α: Fail to reject null hypothesis (no significant difference)

Note: For small sample sizes or many ties, exact methods may be more appropriate.

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