A TEST OF HOMOGENEITY OF MEAN VECTORS AGAINST MULTIVARIATE ISOTONIC ALTERNATIVES

Abstract

A multivariate generalization of isotonic regression was first studied by Sasabuchi,Inutsuka and Kulatunga[12]. This theory enables the study of a test of homogeneity of mean vectors against ordered alternatives which is the multivariate extension of Bartholomew's test [2],[3] and it is presented in this paper.