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Holm, S. A simple sequentially rejective multiple test procedure.
A stagewise rejective multiple test procedure based on a modified Bonferroni test.
Dunnett and Tamhane [Dunnett, C.W., Tamhane, A.C., 1992. A step-up multiple test procedure. J. Amer. Statist. Assoc. 87, 162 170.] proposed a step-up procedure for comparing k treatments with a control and showed that the step-up procedure is more powerful than its counterpart single step and step-down procedures.
This paper addresses the problem of power and sample size calculation for a stepwise multiple test procedure (SD2PC) proposed in Tamhane et al. [2001. Multiple test procedures for identifying the maximum safe dose. J. Amer. Statist. Assoc. 96, 835 843] to identify the maximum safe dose of a compound.
If non-inferiority of linagliptin for the primary outcome is demonstrated, then its superiority for both the primary outcome and the key secondary outcome will be investigated with a sequentially rejective multiple test procedure.
The multiple test procedure was not taken into account either in the study methodology or the results section of the publication, and the chosen statistical procedure enables no confirmatory proof of efficacy for any of the three endpoints.
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Yekutieli, D. & Benjamini, Y. Resampling-based false discovery rate controlling multiple test procedures for correlated test statistics.
The stopping rule is based on multiple test procedures.
Additionally, stopping criteria based on multiple test procedures are implemented.
Many common multiple test procedures satisfy (1), see Hommel et al. (2007) for examples.
Many proposed multiple test procedures in the literature can be expressed with the methods described in this paper.
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