Power of a statistical test

The power of a test is the probability that the test rejects the null hypothesis when a specific alternative hypothesis is true. It measures how well a test detects an effect that really exists.

\mathrm{power} = P\left(\text{reject } H_0 \mid H_1 \text{ is true}\right)

What the symbols mean

probability
null hypothesis
alternative hypothesis

About this formula

  • FieldStatistics
  • TopicHypothesis testing
  • LevelUniversity
  • Also calledstatistical power, power of a hypothesis test, power formula, type II error complement, 1 minus beta, probability of correctly rejecting false null
  • SourceWikidata Q1199823

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