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Kruskal-Wallis In Minutes

Compare distributions across 3+ groups without normality assumption. Free.

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Numeric

Running kruskal-wallis non-parametric group comparison analysis...

Running kruskal-wallis non-parametric group comparison analysis...

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How it works

Non-parametric alternative to ANOVA — tests whether distributions differ across 3+ groups without assuming normality. Uses ranks instead of raw values, making it robust to outliers and skewed data.

Use this when you have 3+ groups and the data is ordinal, skewed, or violates ANOVA's normality assumption.

If your data is roughly normal, use ANOVA (more powerful). If you have only 2 groups, use Mann-Whitney.

Built for: Researcher, biostatistician, quality analyst, social scientist

Typical data source: Numeric measurements across 3+ groups where normality may not hold

researchhealthcareeducationquality

What data do you need?

Measurement data across groups

score (numeric) group (categorical)
72 Treatment A
85 Treatment B
68 Control

Minimum 15 rows · Best with 50-1000 observations

What's in the report?

Non-parametric alternative to one-way ANOVA -- tests whether rank distributions differ across 3 or more groups without requiring normality assumptions. Includes Dunn post-hoc pairwise tests with Bonferroni correction. Ideal for ordinal data, small samples, or heavily skewed distributions.

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Kruskal-Wallis Test Results

H statistic, p-value, and epsilon-squared effect size

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Group Medians Comparison

Median values with interquartile range per group

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Distribution Analysis

Outcome distributions per group

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Dunn Post-Hoc Comparisons

Pairwise group comparisons with Bonferroni correction

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Rank Distribution

Rank positions per group

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Group Descriptive Statistics

Sample size, median, and mean rank per group

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AI Insights

Plain-English interpretation — what the numbers mean, what's significant, and what to do next.

Related tools

Need something simpler? Mann Whitney — Only 2 groups

Need more power? Anova — Data meets normality assumptions

Similar: Anova

Questions?

See our FAQ for details on pricing, data privacy, and how the analysis works. Every report includes a Methodology section showing the statistical test, assumptions checked, and diagnostics run.

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