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nonparametric-tests-guide

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Apply Mann-Whitney, Kruskal-Wallis, and other nonparametric methods

skills/analysis/statistics/nonparametric-tests-guide/SKILL.md

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# Nonparametric Tests Guide

A skill for selecting and applying nonparametric statistical tests when data violate parametric assumptions. Covers rank-based tests for group comparisons, correlation, and paired data, with implementation examples and guidance on reporting.

## When to Use Nonparametric Tests

### Decision Criteria

```
Use nonparametric tests when:
  - Data are ordinal (Likert scales, rankings)
  - Distribution is clearly non-normal (heavy skew, outliers)
  - Sample size is very small (n < 15-20 per group)
  - Homogeneity of variance is violated
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