MATH 10041 Chapter Notes - Chapter 10: Dependent And Independent Variables, Contingency Table
8 Apr 2019
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10. 2: chi-square tests for associations between categorical variables. Homogeneity: if we test the association, based on two independent samples, between the grouping variable and the categorical response variable, the test is called homogeneity. Independence: if we base the test on one sample. The p-value is the probability of getting a value as large as or larger than the observed chi-square statistic, using the chi-square distribution: how is it used, to compare distributions of two categorical variables. *there are two tests to determine whether two categorical variables are associated. For two or more samples and one categorical response variable, we use a test of homogeneity. For one sample and two categorical response variables, we use a test of independence. *for a 2-by-2 contingency table of counts, a two-proportion z-test with a two- sided alternative is equivalent to a test of homogeneity.
