Robustness, Power and Interpretability of Pairwise Tests of Discriminant Functions in MANOVA

Authors

Philip H. Ramsey, Queens College of CUNY, FlushingFollow
Patricia P. Ramsey, Fordham University
Priscila Hachimine, Graduate Center of the City University of New YorkFollow
Nancy Andiloro, Graduate Center of the City University of New YorkFollow

Abstract

Limiting follow-up hypotheses to be tested can reduce problems relating to the control of Type I and Type II errors in multivariate analysis of variance (MANOVA). Such limitations can also improve the interpretability of results. The importance of sample size, shape of population distribution, within-group correlations and heterogeneity of variances are demonstrated. The protected greatest characteristic root (GCR) procedure is shown to work well for small, group size, N (≤ 10). The unprotected GCR is shown to work well for larger N.

DOI

10.22237/jmasm/1320120060