Enter the statistical power of a test to calculate the probability of a Type 2 error (β). This calculator helps in understanding the relationship between power and Type 2 error in hypothesis testing.
Type 2 Error Probability Formula
The following formula is used to calculate the probability of a Type 2 error (β):
β = 1 - Power
Variables:
- β is the probability of a Type 2 error
- Power is the probability of correctly rejecting a false null hypothesis (1 – β)
To calculate the probability of a Type 2 error, subtract the power of the test from 1.
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 β, and it is inversely related to the power of the test. A high power reduces the likelihood of a Type 2 error.
How to Calculate Type 2 Error Probability?
The following steps outline how to calculate the Type 2 Error Probability.
- First, determine the power of the test (1 – β).
- Next, use the formula β = 1 – Power to calculate the probability of a Type 2 error.
- Finally, enter the power into the calculator above to find the Type 2 error probability.
Example Problem :
Use the following variables as an example problem to test your knowledge.
Power of the test (1 – β) = 0.80
Using the formula, calculate the probability of a Type 2 error (β).
