What are the relationships among the dependent variables? What are the relationships among analysis of variance and design of experiments pdf independent variables?

The diagonal entries are the same kinds of sums of squares that appear in univariate ANOVA. The off-diagonal entries are corresponding sums of products. MANOVA’s power is affected by the correlations of the dependent variables and by the effect sizes associated with those variables. For example, when there are two groups and two dependent variables, MANOVA’s power is lowest when the correlation equals the ratio of the smaller to the larger standardized effect size. Applied multivariate statistics for the social sciences.