To explain:Why the test for homogeneity follows the same procedures as the test for independence.

Chi-square tests
asked 2021-02-01
To explain:Why the test for homogeneity follows the same procedures as the test for independence.

Answers (1)

The procedures for the chi-square test for homogeneity are identical to those for a chi-square test for independence. The data differs for the two tests. Tests for independence are used to determine whether there is a significant relationship between two categorical variables from a single population. A single population is segmented based on the value of two variables. Hence, there will be a column variable and a row variable.
A chi-square test for the homogeneity of proportions can be used to compare the population proportions from two or more independent samples, it determines whether the frequency counts are distributed identically across different populations.
Thus, the test for homogeneity follows the same procedures as the test for independence because the assumptions for performing the chi-square test for independence and chi-square test for homogeneity are the same.
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