Repeated Measures Interaction Test with Aligned Ranks

Multivariate Behavioral Research
Rhonda K KowalchukJames Algina

Abstract

The Welch-James (WJ) and the Huynh Improved General Approximation (IGA) tests for interaction were examined with respect to Type I error in a between- by within-subjects repeated measures design when data were non-normal, non-spherical and heterogeneous, particularly when group sizes were unequal. The tests were computed with aligned ranks and compared to the use of least squares and robust estimators (i.e., trimmed means and Winsorized variances/covariances). Critical values were either obtained theoretically or through a bootstrapping method. The IGA and WJ procedures based on aligned ranks always provided a valid test of a repeated measures interaction effect when group sizes were equal and covariance matrices across groups were homogeneous. On the other hand, the use of aligned ranks did not provide a valid test for a repeated measures interaction when covariance matrices were non-spherical with unequal variances across the levels of the repeated measures factor combined with unequal covariance matrices across the grouping factor. The IGA and WJ procedures based on robust estimators provided a valid test of the interaction across investigated conditions, however under a heavy-tailed distribution, the IGA and WJ procedures b...Continue Reading

References

May 3, 2000·Statistics in Medicine·D J Catellier, K E Muller
Jul 15, 2000·The British Journal of Mathematical and Statistical Psychology·H J KeselmanR J Boik
Dec 8, 2000·The British Journal of Mathematical and Statistical Psychology·H J KeselmanR R Wilcox
Jun 8, 2001·The British Journal of Mathematical and Statistical Psychology·H J KeselmanR K Kowalchuk
Oct 1, 1994·Multivariate Behavioral Research·J Algina
Jul 1, 2002·Multivariate Behavioral Research·H J KeselmanRhonda K Kowalchuk

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Citations

Apr 1, 2005·Multivariate Behavioral Research·Guillermo Vallejo, Pablo Livacic-Rojas
Dec 1, 2006·Multivariate Behavioral Research·Guillermo Vallejo, Manuel Ato
Aug 29, 2006·Computer Methods and Programs in Biomedicine·Guillermo VallejoNélida M Conejo
May 7, 2020·Brain : a Journal of Neurology·Caroline TscherpelChristian Grefkes
Jun 17, 2010·Critical Care Nursing Quarterly·Lene SymesRon Cornelis Hoogeveen

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