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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.

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SKILL.md

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