Analyzing Multivariate Repeated Measures Designs: A Comparison of Two Approximate Degrees of Freedom Procedures

Multivariate Behavioral Research
Lisa M LixH J Keselman

Abstract

The approximate degrees of freedom Welch-James (WJ) and Brown-Forsythe (BF) procedures for testing within-subjects effects in multivariate groups by trials repeated measures designs were investigated under departures from covariance homogeneity and normality. Empirical Type I error and power rates were obtained for least-squares estimators and robust estimators based on trimming/Winsorization. The BF and WJ procedures with least-squares estimators produced comparable Type I error rates for the main effect. For the interaction, the former could become conservative, while the latter was liberal when sample sizes were small. When robust estimators were adopted, the WJ test generally controlled the error rate while the BF test was conservative. Both procedures had similar power for the main effect test, while the WJ procedure was more powerful for tests of the interaction when covariances were heterogeneous.

References

Dec 8, 2000·The British Journal of Mathematical and Statistical Psychology·H J KeselmanR R Wilcox
Dec 1, 1992·Journal of the American Statistical Association·Keith E MullerCraig T Ramey
Oct 1, 1994·Multivariate Behavioral Research·J Algina
Jul 1, 2002·Multivariate Behavioral Research·H J KeselmanRhonda K Kowalchuk

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Citations

Oct 23, 2015·Behavior Research Methods·Roser BonoRafael Alarcón
Apr 1, 2005·Multivariate Behavioral Research·Guillermo Vallejo, Pablo Livacic-Rojas
Dec 1, 2006·Multivariate Behavioral Research·Guillermo Vallejo, Manuel Ato
Oct 14, 2011·Behavior Research Methods·Guillermo Vallejo, Manuel Ato
Jan 10, 2020·The Journal of Psychology·Sadia JahanzebTasneem Fatima
Jun 15, 2007·American Journal of Physical Anthropology·Ian Gilligan, David Bulbeck
Aug 4, 2019·Environmental Monitoring and Assessment·Jhane Rose P EncarguezVan Ryan Kristopher R Galarpe
Oct 15, 2009·Journal of Clinical Neurology·Jae Woo KimHee Young Jo
Sep 12, 2009·European Journal of Cardiovascular Prevention and Rehabilitation : Official Journal of the European Society of Cardiology, Working Groups on Epidemiology & Prevention and Cardiac Rehabilitation and Exercise Physiology·Evangelia KouidiAsterios Deligiannis
Jan 1, 2015·American Journal on Intellectual and Developmental Disabilities·Raphaele Tsao Gerald Bussy
Dec 6, 2012·Health Marketing Quarterly·Michael J DotsonJoseph A Cazier
Sep 30, 2017·Frontiers in Psychology·Roser BonoJuana Gómez-Benito

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