52 lines
1.2 KiB
Markdown
52 lines
1.2 KiB
Markdown
---
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name: meta-analysis
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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."
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allowed-tools: Read, Write, Bash
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version: 1.0.0
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---
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# Meta-Analysis Skill
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## Purpose
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Quantitatively synthesize results across multiple studies.
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## Meta-Analysis Steps
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**1. Extract Effect Sizes**
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- Convert to common metric (d, OR, RR)
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- Calculate standard errors
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**2. Choose Model**
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- Fixed-effect: Assumes single true effect
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- Random-effects: Allows heterogeneity
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**3. Pool Results**
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- Weight studies (inverse variance)
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- Calculate summary effect
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- 95% confidence interval
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**4. Assess Heterogeneity**
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- I² statistic (0-100%)
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- 0-40%: Low heterogeneity
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- 40-75%: Moderate
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- 75-100%: High
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- Q test (statistical significance)
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**5. Investigate Heterogeneity**
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- Subgroup analysis
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- Meta-regression
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- Sensitivity analysis
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**6. Publication Bias**
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- Funnel plot
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- Egger's test
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- Trim-and-fill
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## Reporting
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**Example:**
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"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."
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---
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**Version:** 1.0.0
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