In the univariate case, we extend the results of two-sample hypothesis testing of the means using the t-test to more than two random variables using analysis of variance (ANOVA). In the multivariate case we will now extend the results of two-sample hypothesis testing of the means using Hotelling’s T2 test to more than two random vectors using multivariate analysis of variance (MANOVA).
ANOVA is an analysis that deals with only one dependent variable. MANOVA extends ANOVA when multiple dependent variables need to be analyzed. It is especially useful when these dependent variables are correlated.
- Basic Concepts of MANOVA
- Real Statistics Functions and Data Analysis Tools
- Effect Size
- Follow up using ANOVA
- Follow up using Contrasts