Paper 134-2015 ANOVA_Robust: A SAS ® Macro for Various Robust Approaches to Testing Mean Differences in One-Factor ANOVA Models

Testing the equality of several independent group means is a common statistical problem in social science. The traditional analysis of variance (ANOVA) is one of the most popular methods. However, the ANOVA F test is sensitive to violation of the homogeneity of variance assumption. Several alternative tests have been developed in response to this problem of the F test. These tests include a modification of ANOVA F test based on Structured Means Modeling technique. This paper provides a SAS macro for testing the equality of group means using thirteen different methods including regular ANOVA F test. In addition, this paper provides the results of simulation study to compare the performance of these tests in terms of their Type I error rate and statistical power under different conditions, especially, under the violation of homogeneity variance assumption.