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The MANOVA and GLM procedures compute a multivariate statistic named Hotelling's Trace (sometimes called the Lawley-Hotelling Trace and sometimes the Hotelling-Lawley Trace). Multiplying Hotelling's Trace by (N - L), where N is the sample size across all groups and L is the number of groups, gives a generalized version of Hotelling's T^2. When L=2, the product is Hotelling's two-sample T^2. In practice, T^2 and Hotelling's Trace are transformed to equal values of F with the same degrees of freedom. The Exact F and its significance level for Hotelling's Trace