Graphical approaches for multiple comparison procedures using weighted Bonferroni, Simes, or parametric tests

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Bretz, F.; Posch, M.; Glimm, E.; Klinglmueller, F.; Maurer, W.; Rohmeyer, K.: Graphical approaches for multiple comparison procedures using weighted Bonferroni, Simes, or parametric tests. In: Biometrical Journal 53 (2011), Nr. 6, S. 894-913. DOI: https://doi.org/10.1002/bimj.201000239

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Abstract: 
The confirmatory analysis of pre-specified multiple hypotheses has become common in pivotal clinical trials. In the recent past multiple test procedures have been developed that reflect the relative importance of different study objectives, such as fixed sequence, fallback, and gatekeeping procedures. In addition, graphical approaches have been proposed that facilitate the visualization and communication of Bonferroni-based closed test procedures for common multiple test problems, such as comparing several treatments with a control, assessing the benefit of a new drug for more than one endpoint, combined non-inferiority and superiority testing, or testing a treatment at different dose levels in an overall and a subpopulation. In this paper, we focus on extended graphical approaches by dissociating the underlying weighting strategy from the employed test procedure. This allows one to first derive suitable weighting strategies that reflect the given study objectives and subsequently apply appropriate test procedures, such as weighted Bonferroni tests, weighted parametric tests accounting for the correlation between the test statistics, or weighted Simes tests. We illustrate the extended graphical approaches with several examples. In addition, we describe briefly the gMCP package in R, which implements some of the methods described in this paper.
License of this version: CC BY-NC 2.5 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2011
Appears in Collections:Naturwissenschaftliche Fakultät

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2 image of flag of United States United States 28 26.17%
3 image of flag of China China 11 10.28%
4 image of flag of Netherlands Netherlands 5 4.67%
5 image of flag of South Africa South Africa 3 2.80%
6 image of flag of No geo information available No geo information available 3 2.80%
7 image of flag of Russian Federation Russian Federation 2 1.87%
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10 image of flag of Korea, Republic of Korea, Republic of 1 0.93%
    other countries 7 6.54%

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