A Step-Up Multiple Test Procedure

On Optimality of Stepdown and Stepup Multiple Test Procedures

“…It is gratifying that the results confirm the intuition of the originators of these methods. Even though our assumptions are strong, some stepwise methods can now be viewed as asymptotically optimal, such as the stepup method of Dunnett and Tarnhane [2] . Outside the strong assumptions imposed in this paper, Westfall and Young [ 18] give general resampling methods to approximate the critical values of stepdown procedures, while Troendle [17] addresses the corresponding problem for stepup procedures.…”

“…, 8k X k) , for any 8i E { -1 , 1}. Specifically, for every monotone increasing region .M and 8/h ::: 8i Yi, (2) For example, the condition for (-X 1, ... , -Xk) means that for any monotone decreasing region .M' (the complement of a monotone increasing region), the inequality (1) is reversed; that is, the probability of the event {X E .M'} increases as f) decreases (in each component).…”

“…Stepdown procedures were initiated by Holm [7], while the stepup approach can be found in [2,5,8,14,16]. Background material on stepwise procedures is provided by Hochberg and Tamhane [6] and Westfall and Young [18].…”

Erich Lehmann’s contributions to multiple decision making

“…:::: a with no restrictive conditions. Later, a stepup procedure was introduced for normally-distributed statistics (Dunnett and Tamhane, 1992), and under more general conditions by Hochberg (1988), the latter based on work by Simes (1986). There is a great deal of literature dealing with these methods, as well as a further extension to generalized step-up-down methods , introduced by Tamhane, Liu, and Dunnett (1998).…”

Power Calculations in Clinical Trials With Complex Clinical Objectives

“…The Dunnett procedure tests the m null hypotheses corresponding to the m dose-control contrasts. Dunnett and Tamhane, 1991) and Hochberg procedure (step-up Dunnett procedure, Dunnett and Tamhane, 1992). Both stepwise MTPs are more powerful than the single-step Dunnett procedure.…”