When to use chi-square goodness of fit?
Understand the Problem
The question is asking when it is appropriate to use the chi-square goodness of fit test, which is a statistical test used to determine whether a sample distribution matches an expected distribution.
Answer
To test the distribution of a single categorical variable.
Use a chi-square goodness of fit test when you have one categorical variable and want to test a hypothesis about its distribution.
Answer for screen readers
Use a chi-square goodness of fit test when you have one categorical variable and want to test a hypothesis about its distribution.
More Information
The chi-square goodness of fit test compares the observed data with an expected distribution, often used in hypothesis testing for distributions such as normal, binomial, or Poisson.
Tips
A common mistake is confusing the chi-square goodness of fit test with the chi-square test of independence. Ensure you're using the correct test based on whether you have one or two categorical variables.
Sources
- Chi-Square Goodness of Fit Test | Introduction to Statistics - JMP - jmp.com
- Chi-Square (Χ²) Tests | Types, Formula & Examples - Scribbr - scribbr.com
- 11.2 - Goodness of Fit Test - STAT ONLINE - online.stat.psu.edu
