Power comparisons are provided for three permutation tests and the Bartlett
-Nanda-Pillai trace test in completely randomized experimental designs with
correlated multivariate dependent variables. Five bivariate distributions,
five levels of correlation, equal and unequal sample sizes, two variations
of location shifts, and two types of commensuration are considered in the
power analyses. With very felt exceptions, the power of the Bartlett-Nanda-
Pillai trace test is found to be less than the corresponding power for at l
east one of the permutation tests.