Power calculation Definition and 55 Threads

The power of a binary hypothesis test is denoted by "(1−β)" and is the probability of a "true positive" conditional on a positive outcome. It is the probability that the test correctly rejects the null hypothesis (




H

0




{\displaystyle H_{0}}
) when a specific alternative hypothesis (




H

1




{\displaystyle H_{1}}
) is true. The statistical power ranges from 0 to 1, and as statistical power increases, the size of "β" - the probability of making a type II error by wrongly failing to reject the null hypothesis - decreases.

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