Type 2 Error Probability Calculator

Calculate Type 2 Error Probability

Formula

To calculate the Type 2 Error Probability (β):

\[ \beta = 1 - \text{Power} \]

Where:

What is a Type 2 Error?

A Type 2 error occurs in hypothesis testing when a false null hypothesis is not rejected. This means that the test fails to detect an effect or difference that actually exists. The probability of a Type 2 error is denoted by \(\beta\), and it is inversely related to the power of the test. A high power reduces the likelihood of a Type 2 error.

Example Calculation 1

Let's assume the following value:

Using the formula:

\[ \beta = 1 - 0.8 = 0.2 \]

The Type 2 Error Probability is 0.2.

Example Calculation 2

Let's assume the following value:

Using the formula:

\[ \beta = 1 - 0.9 = 0.1 \]

The Type 2 Error Probability is 0.1.