Computer Programs for Robust Analyses in Multifactor Analysis of Variance Designs

Abstract

Robust analyses of multifactor analysis of variance data may be secured even when assumptions are violated, by use of a set of five programs. ANOVR produces means, the summary table, group variances, the variance-covariance matrix on repeated measures, and tests most assumptions. FOLUP tests any set of pairwise contrasts of means, while COMCON tests any set of complex contrasts. Both latter programs permit solutions using heterogeneous group variances, or using a heterogeneous variance-covariance matrix from repeated measures, as well as conventional solutions using mean squares from the summary table. ANOVR produces the Box-Geisser-Greenhouse index when there is just one repeated measure factor, while PVCVRL will produce corresponding indices when there are two or more such factors. BARTKI produces output that generates the robust and flexible Bartlett and Kendall test for homogeneity of variances. Intelligent use of the set of programs frees the user from most assumptions of AOV.