Procedures for Comparing Samples with Multiple Endpoints

Citations Over TimeTop 10% of 1984 papers

Abstract

Five procedures are considered for the comparison of two or more multivariate samples. These procedures include a newly proposed nonparametric rank-sum test and a generalized least squares test. Also considered are the following tests: ordinary least squares, Hotelling's T2, and a Bonferroni per-experiment error-rate approach. Applications are envisaged in which each variable represents a qualitatively different measure of response to treatment. The null hypothesis of no treatment difference is tested with power directed towards alternatives in which at least one treatment is uniformly better than the others. In all simulations the nonparametric procedure provided relatively good power and accurate control over the size of the test, and is recommended for general use. Alternatively, the generalized least squares procedure may also be useful with normally distributed data in moderate or large samples. A convenient expression for this procedure is obtained and its asymptotic relative efficiency with respect to the ordinary least squares test is evaluated.

Related Papers

• → A fixed sequence Bonferroni procedure for testing multiple endpoints(2003)154 cited
• → Power and Type I Error Control for Univariate Comparisons in Multivariate Two-Group Designs(2015)37 cited
• → Examining the Probabilities of Type I Error for Unadjusted All Pairwise Comparisons and Bonferroni Adjustment Approaches in Hypothesis Testing for Proportions(2014)4 cited
• → The Importance of Type II Error in Hypothesis Testing(2023)2 cited
• ERRORS IN HYPOTHESIS TESTING: AN OVERVIEW(2020)