Nonparametric One-Sided Tests in Multivariate Analysis with Medical Applications

Permutation tests are applied to the maximal t statistic in two-sample, completely randomized designs, and in two-sample, matched-pair designs, where the response is a vector and the experimenter is interested in one specific direction in each component. Recommendations for subsampling are also included for cases when the number of permutations required to complete the test is prohibitive. These procedures are then applied to data from two medical trials.