ANOVA_robust: A SAS Macro for Parametric Tests of Mean Differences in One-Factor ANOVA Models

Thanh V. Pham, Jeffrey D. Kromrey, Yi-Hsin Chen, Eun Sook Kim, Diep T. Nguyen, Yan Wang

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Testing the equality of several independent group means is a common statistical practice in the social sciences. The traditional analysis of variance (ANOVA) is one of the most popular methods. However, the ANOVA F test is sensitive to violations of the homogeneity of variance assumption. Many alternative tests have been developed in response to this problem of the F test. These tests include some modifications of the ANOVA F test and others based on the structured means modeling technique. This paper provides a SAS macro for testing the equality of group means using thirteen methods including the regular ANOVA F test. In addition, this paper summarizes the results of a simulation study that compares the performance of these tests in terms of their Type I error rate under different conditions, especially under violations of the homogeneity of variance assumption.

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