χ2 Test for Homogeneity

Definition

The χ2 test for homogeneity is a statistical test used to determine if the distribution of frequencies in different categories is the same across multiple populations or groups. It compares observed frequencies with expected frequencies under the assumption of homogeneity.

Related terms

Expected Frequencies: In the context of the χ2 test for homogeneity, expected frequencies are calculated based on assumptions of equal proportions or distributions across categories.

Goodness-of-Fit Test: A goodness-of-fit test is used to assess whether an observed frequency distribution fits an expected theoretical distribution.

Alternative Hypothesis (Ha): The alternative hypothesis states that there is a significant difference in the distribution of frequencies across categories being tested with the χ2 test for homogeneity.