Chapter 6: Comparing Several Multivariate Pop. Means

Question 1

What are the degrees of freedom for each component of the MANOVA table?

Answer 1

Treatment: g-1, residual: (sum over all g populations) n_l - g, total: (sum over all g populations) n_l -1.

For residual and total: first sum n_l over all g populations, then subtract by g or 1. g/1 is not indexed by l.

Question 2

What test statistic (univariate case) can Wilk’s lambda be compared to?

Answer 2

The F-statistic (no treatment effects).