Single-Step Multiple Testing Procedures for Controlling General Type I Error Rates, Θ(Fv _n )

Overview Chapter 3 focuses primarily on marginal multiple testing procedures (MTP), that is, procedures based solely on the marginal distributions of the test statistics. While simple, such marginal MTPs can suffer from the following limitations: (i) they can be very conservative, in order to provide Type I error control for general test statistics joint distributions, including the independence case (e.g., FWER-controlling single-step Bonferroni Procedure 3.1); (ii) some provide Type I error control only under certain assumptions concerning the dependence structure of the test statistics (e.g., FWER-controlling step-up Hochberg Procedure 3.13). In contrast, joint multiple testing procedures, such as single-step maxT Procedure 3.5 and minP Procedure 3.6, take into account the dependence structure of the test statistics and are generally more powerful than marginal procedures.