An R Introduction to Statistics

Type II Error

  In hypothesis testing, a type II error is due to a failure of rejecting an invalid null hypothesis. The probability of avoiding a type II error is called the power of the hypothesis test, and is denoted by the quantity 1 - β .

In the following tutorials, we demonstrate how to compute the power of a hypothesis test based on scenarios from our previous discussions on hypothesis testing. The approach is based on a parametric estimate of the region where the null hypothesis would not be rejected. The probability of a type II error is then derived based on a hypothetical true value.