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Statistical Power

Power of hypothesis tests

📊Statistical Power Calculator

0.2=small, 0.5=medium, 0.8=large

Statistical power (1−β) is the probability of correctly detecting a true effect. Power of 0.80 (80%) is the conventional minimum — a 20% chance of missing a real effect (Type II error).

  1. 1Power increases with: larger n, larger effect size, higher α
  2. 2Plan sample size to achieve 80% power before collecting data
  3. 3Power = Φ(|d|√(n/2) − z_α)
d=0.5 · n=50/group · α=0.05=Power ≈ 70% — underpoweredNeed ~64/group for 80% power

Fun Fact

A 2013 analysis found median statistical power in neuroscience studies was only 8–31% — meaning most studies were far too small to reliably detect the effects they were testing.

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