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Educational and Psychological Measurement
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MANOVA Simultaneous Test Procedures: The Power and Robustness of Restricted Multivariate Contrasts

Janet K. Sheehan-Holt

Northern Illinois University

A Monte Carlo study was conducted using SAS-IML to compare the multivariate analysis of variance (MANOVA) simultaneous test procedures (STPs) of 0, 'T, A, and V in terms of power and Type I error under various conditions including violations of MANOVA assumptions. The Type I error rates of moderately restricted contrasts in STPs were robust to violations of MANOVA assumptions such that the actual alpha remained below the nominal alpha. However, the power of the STPs was unacceptably low in moderately restricted contrasts under most conditions. For partially restricted contrasts, the power of the STPs was adequate for {theta} when the noncentrality structure was concentrated. When the noncentrality structure was diffuse, again {theta} had the highest power but decreased to a minimal level as the number of groups or variables increased.

Educational and Psychological Measurement, Vol. 58, No. 6, 861-881 (1998)
DOI: 10.1177/0013164498058006001
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