In multivariate analysis of variance the canonical variates of one effect may be correlated with the canonical variates of another effect. When the two effects are an interaction and a main effect this correlation interferes with the interpretation of the main effect. When the two effects are both main effects the interpretation of the common canonical variates could provide interesting insights into the data. This paper discusses a procedure by which one effect can be examined independent of the significant canonical variates of another effect. (Author)