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skills/meta-analysis/SKILL.md

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+---
+name: meta-analysis
+description: "Conduct quantitative synthesis through meta-analysis. Use when: (1) Combining effect sizes across studies, (2) Systematic review synthesis, (3) Calculating summary effects, (4) Assessing heterogeneity."
+allowed-tools: Read, Write, Bash
+version: 1.0.0
+---
+
+# Meta-Analysis Skill
+
+## Purpose
+Quantitatively synthesize results across multiple studies.
+
+## Meta-Analysis Steps
+
+**1. Extract Effect Sizes**
+- Convert to common metric (d, OR, RR)
+- Calculate standard errors
+
+**2. Choose Model**
+- Fixed-effect: Assumes single true effect
+- Random-effects: Allows heterogeneity
+
+**3. Pool Results**
+- Weight studies (inverse variance)
+- Calculate summary effect
+- 95% confidence interval
+
+**4. Assess Heterogeneity**
+- I² statistic (0-100%)
+  - 0-40%: Low heterogeneity
+  - 40-75%: Moderate
+  - 75-100%: High
+- Q test (statistical significance)
+
+**5. Investigate Heterogeneity**
+- Subgroup analysis
+- Meta-regression
+- Sensitivity analysis
+
+**6. Publication Bias**
+- Funnel plot
+- Egger's test
+- Trim-and-fill
+
+## Reporting
+
+**Example:**
+"Meta-analysis of 15 RCTs (N=1,234) showed a moderate effect, g=0.52, 95% CI[0.38, 0.66], p<.001. Heterogeneity was moderate, I²=58%, suggesting variability in effects."
+
+---
+**Version:** 1.0.0