MULTIPLE COMPARISONS IN THE GMANOVA MODEL WITH COVARIANCE STRUCTURES

Abstract

Simultaneous confidence intervals for multiple comparisons in a generalized multivariate analysis of variance model with covariance structures are discussed. We consider the model with positive definite, serial, and uniform covariance structures. The simultaneous confidence intervals using the modified second approximation procedure are given. In related discussion, asymptotic expansions for the joint probability of bivariate Hotelling T²-type variates are derived under the model with the covariance structures.