Multivariate Analysis One-Sample Likelihood Ratio Tests for Mixed Data

We revisit a hypothesis-testing problem recently investigated by de Leon andCarriere (2000). Specifically, we obtain exact likelihood ratio tests of one-samplelocation hypotheses for multivariate mixed data modeled according to the generallocation model (Olkin and Tate, 1961). The tests generalize those previouslyproposed by de Leon and Carriere (2000) for the case of mixed bivariate data.Optimal properties of the tests are briefly studied. Simulations show that the testsare reasonably powerful in detecting differences between the true and hypothesizedpopulations. We illustrate the tests with a few examples, including one concerningdata on academic achievement.