Published by the Foundation for Open Access Statistics Editors-in-chief: Bettina Grün, Torsten Hothorn, Rebecca Killick, Edzer Pebesma, Achim Zeileis    ISSN 1548-7660; CODEN JSSOBK
Authors: Thanh V. Pham, Jeffrey D. Kromrey, Yi-Hsin Chen, Eun Sook Kim, Diep T. Nguyen, Yan Wang
Title: ANOVA_robust: A SAS Macro for Parametric Tests of Mean Differences in One-Factor ANOVA Models
Abstract: 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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Paper: ANOVA_robust: A SAS Macro for Parametric Tests of Mean Differences in One-Factor ANOVA Models     Download PDF (Downloads: 171)
Supplements:
anovarobmacro.sas: SAS source code Download (Downloads: 19; 19KB)
v95c02-replication.zip: Replication materials Download (Downloads: 9; 471KB)

DOI: 10.18637/jss.v095.c02

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Paper: Creative Commons Attribution 3.0 Unported License
Code: GNU General Public License (at least one of version 2 or version 3) or a GPL-compatible license.