Statistics Toolbox

Multivariate Analysis of Variance (MANOVA)

We reviewed the analysis of variance technique in One-Way Analysis of Variance (ANOVA). With this technique we can take a set of grouped data and determine whether the mean of a variable differs significantly between groups. Often we have multiple variables, and we are interested in determining whether the entire set of means is different from one group to the next. There is a multivariate version of analysis of variance that can address that problem, as illustrated in the following example.

Hotelling's T2 (Fourth Output)

Example: Multivariate Analysis of Variance