A test for homogeneity evaluates whether different populations have the same distribution of a categorical variable. It is a type of chi-square test used to compare the frequencies of categories across multiple groups.
5 Must Know Facts For Your Next Test
The null hypothesis states that all populations have the same distribution of the categorical variable.
It requires categorical data from two or more independent samples or populations.
The test statistic follows the chi-square distribution with degrees of freedom calculated as $(r-1)(c-1)$, where $r$ is the number of rows and $c$ is the number of columns in the contingency table.
A significant result indicates that at least one population has a different distribution compared to others.
Expected frequencies should be sufficiently large (generally at least 5) to ensure validity.