APFIVE How does the chi-square test for independence differ from the chi-square test for homogeneity in terms of their application to categorical data analysis?
The test for independence uses a different chi-square distribution than the test for homogeneity, resulting in different critical values.
The test for independence analyzes continuous variables, while the test for homogeneity is used exclusively for categorical data.
The test for independence examines the relationship between two categorical variables within a single population, while the test for homogeneity compares the distribution of a single categorical variable across multiple populations.
The test for independence requires a larger sample size than the test for homogeneity to achieve the same level of statistical power.
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