Abstract
Hierarchically ordered objectives often occur in clinical trials. Many multiple testing adjustment methods have been proposed to control family-wise error rates while taking into account the logical relations among the null hypotheses. However, most of them disregard the correlation among the endpoints within the same family and assume the hypotheses with each family are equally weighted. This paper proposes a gatekeeping procedure based on Xie’s weighted multiple testing correction for correlated tests (Xie, Stat Med 31(4):341–352, 2012). Simulations have shown that it has power advantages compared to those non-parametric methods (which do not depend on the joint distribution of the endpoints). An example is given to illustrate the proposed method and show how it can be used in complex clinical trials.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Bauer P, Röhmel J, Maurer W, Hothorn L (1998) Testing strategies in multi-dose experiments including active control. Stat Med 17(18):2133–2146
Benjamini Y, Hochberg Y (1995) Controlling the false discovery rate: a practical and powerful approach to multiple testing. J R Stat Soc Ser B (Methodolog) 289–300
Benjamini Y, Yekutieli D (2001) The control of the false discovery rate in multiple testing under dependency. Ann Stat 1165–1188
Dmitrienko A, Offen WW, Westfall PH (2003) Gatekeeping strategies for clinical trials that do not require all primary effects to be significant. Stat Med 22(15):2387–2400
Dmitrienko A, Tamhane AC (2011) Mixtures of multiple testing procedures for gatekeeping applications in clinical trials. Stat Med 30(13):1473–1488
Dmitrienko A, Tamhane AC, Wiens BL (2008) General multistage gatekeeping procedures. Biom J 50(5):667–677
Dmitrienko A, Wiens BL, Tamhane AC, Wang X (2007) Tree-structured gatekeeping tests in clinical trials with hierarchically ordered multiple objectives. Stat Med 26(12):2465–2478
Genz A, Bretz F, Miwa T, Mi X, Leisch F, Scheipl F, Hothorn T (2009) mvtnorm: multivariate normal and t-distributions. R package version 0.9–8. http://CRAN.R-project.org/package=mvtnorm
Maurer W, Hothorn L, Lehmacher W (1995) Multiple comparisons in drug clinical trials and preclinical assays: a-priori ordered hypotheses. Biometrie in der chemisch-pharmazeutischen Industrie 6:3–18
Team RC (2013) A language and environment for statistical computing. R foundation for statistical computing, Vienna
Westfall PH, Krishen A (2001) Optimally weighted, fixed sequence and gatekeeper multiple testing procedures. J Stat Plan Inference 99(1):25–40
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer Science+Business Media Singapore
About this chapter
Cite this chapter
Ghulam, E., Wang, K., Xie, C. (2016). The Mixture Gatekeeping Procedure Based on Weighted Multiple Testing Correction for Correlated Tests. In: Chen, DG., Chen, J., Lu, X., Yi, G., Yu, H. (eds) Advanced Statistical Methods in Data Science. ICSA Book Series in Statistics. Springer, Singapore. https://doi.org/10.1007/978-981-10-2594-5_1
Download citation
DOI: https://doi.org/10.1007/978-981-10-2594-5_1
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-2593-8
Online ISBN: 978-981-10-2594-5
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)