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Based on Algorithm 1 from Section 2, we give in the following a similar algorithm that accounts for the weighted Bonferroni tests, thus leading to the sequentially rejective multiple test procedures described in Bretz et al. (2009): Algorithm 2 (Weighted Bonferroni Test) Select a j∈ I such that p j ≤ w j (I α and reject H j ; otherwise stop.
The stopping rule is based on multiple test procedures.
Additionally, stopping criteria based on multiple test procedures are implemented.
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.
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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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.
Holm correction was then applied to multiple test procedure.
If multiple tests in multigroup comparison were necessary, we used the Bonferroni Holm sequential rejective multiple test procedure [ 20].
bPermutation p-values that are not significant according to the Holm multiple test procedure [ 38] are not presented.
For any specific multiple test procedure defined by a given graph, the consonance condition can be checked.
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