Definition:Power of Test

Definition

Let $\delta$ be a hypothesis test.

The power of $\delta$ is the probability of rejecting the null hypothesis when it is false.

Hence the power of $\delta$ is $1 - \beta$, where $\beta$ is the probability of a type $\text {II}$ error.

Also see

• Results about hypothesis testing can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): hypothesis testing
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hypothesis testing