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Sample size calculation and statistical power analysis guide

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

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# Power Analysis Guide

Calculate appropriate sample sizes for your study using power analysis, understand effect sizes, and avoid underpowered or wastefully overpowered designs.

## Core Concepts

### The Four Parameters of Power Analysis

Every power analysis involves four interrelated quantities. Fix any three to solve for the fourth:

| Parameter | Symbol | Definition | Typical Value |
|-----------|--------|-----------|---------------|
| **Effect size** | d, r, f, etc. | Magnitude of the phenomenon you expect to detect | Varies by field |
| **Significance level** (alpha) | alpha | Probability of Type I error (false positive) | 0.05 |
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