Roy's Union-Intersection Test for One –Way Multivariate Repeated Measurements Analysis of Variance Model

Abstract

This research is devoted to the study the Roy's Union-Intersection Test in One -Way Multivariate repeated measurements analysis of variance model (MRM MANOVA), which contains one between-units factor (Group with q levels) incorporating one random effect, one within-units factor (Time with p levels) . The test statistics of various hypotheses on between-unites factor ,within-units factor and the interaction between them are given . As practical research , a study has been taken to diagnostics and isolation for kinds of bacteria which complain with tissue cultivation for the dates and the study of frustrate affection for three kinds of extractor plant , which are called Rhus coriaria and Cinnamomum zeylanicum , the excretes of adhesive for the Bswellia sp. plant and by using four kinds of solvent and three different condense. An experimental has been made for getting measurement for the best reacting extractor plant with the solvent by using different affection on frustrate core .