Regression and Nonparametric Tests\Test for Homogeneity
- Page ID
- 64241
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Test for Homogeneity Summary: This module describes how the chi-square distribution can be used to test for homogeneity. The Goodness of Fit test can be used to decide whether a population fits a given distribution, but the Goodness of Fit test will not suffice to compare whether two populations follow the same unknown distribution. A different test, called the Test for Homogeneity, can be used to make a conclusion about whether two populations have the same distribution. To calculate the test statistic for a test for homogeneity, follow the same procedure as with the \(\chi^{2}\) test for independence. Here is a summary of the Test for Homogeneity: Hypotheses H0: The distributions of the two populations are the same. Test Statistic Uses a \(\chi^{2}\) statistic. It is computed in the same way as the test for independence. Requirements All values in the table must be greater than or equal to 5. Common Uses Comparing two populations. For example: men vs women, before vs. after, east vs. west. The variable is categorical with more than two possible response values.
Summary of a \(\chi^{2}\)-Tests You have seen the a \(\chi^{2}\) test statistic used in three different circumstances. Below is a summary that will help you decide which \(\chi^{2}\) test is the appropriate one to use.
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