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meta-analysis-guide

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Conduct systematic meta-analyses with effect size pooling and heterogeneity

skills/analysis/statistics/meta-analysis-guide/SKILL.md

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# Meta-Analysis Guide

A skill for conducting rigorous meta-analyses: computing and pooling effect sizes, assessing heterogeneity, evaluating publication bias, and generating forest plots. Follows Cochrane Handbook and PRISMA guidelines.

## Effect Size Computation

### Common Effect Size Measures

| Measure | Use Case | Formula | Interpretation |
|---------|----------|---------|----------------|
| Cohen's d | Mean difference (2 groups) | (M1 - M2) / S_pooled | 0.2 small, 0.5 medium, 0.8 large |
| Hedges' g | d with small-sample correction | d * J(df) | Preferred over d for small N |
| Pearson r | Correlation | r | 0.1 small, 0.3 medium, 0.5 large |
| Odds Ratio | Binary outcomes | (a*d)/(b*c) | 1 = no effect |