Please use this identifier to cite or link to this item: https://doi.org/10.1111/j.0006-341X.2004.00194.x
Title: Multiple testing to establish superiority/equivalence of a new treatment compared with k standard treatments for unbalanced designs
Authors: Kwong, K.S. 
Cheung, S.H.
Chan, W.S.
Keywords: Coherence property
Equivalent efficacy
Familywise error rate
Multivariate t-distribution
Issue Date: Jun-2004
Citation: Kwong, K.S., Cheung, S.H., Chan, W.S. (2004-06). Multiple testing to establish superiority/equivalence of a new treatment compared with k standard treatments for unbalanced designs. Biometrics 60 (2) : 491-498. ScholarBank@NUS Repository. https://doi.org/10.1111/j.0006-341X.2004.00194.x
Abstract: In clinical studies, multiple superiority/equivalence testing procedures can be applied to classify a new treatment as superior, equivalent (same therapeutic effect), or inferior to each set of standard treatments. Previous stepwise approaches (Dunnett and Tamhane, 1997, Statistics in Medicine 16, 2489-2506; Kwong, 2001, Journal of Statistical Planning and Inference 97, 359-366) are only appropriate for balanced designs. Unfortunately, the construction of similar tests for unbalanced designs is far more complex, with two major difficulties: (i) the ordering of test statistics for superiority may not be the same as the ordering of test statistics for equivalence; and (ii) the correlation structure of the test statistics is not equi-correlated but product-correlated. In this article, we seek to develop a two-stage testing procedure for unbalanced designs, which are very popular in clinical experiments. This procedure is a combination of step-up and single-step testing procedures, while the familywise error rate is proved to be controlled at a designated level. Furthermore, a simulation study is conducted to compare the average powers of the proposed procedure to those of the single-step procedure. In addition, a clinical example is provided to illustrate the application of the new procedure.
Source Title: Biometrics
URI: http://scholarbank.nus.edu.sg/handle/10635/105229
ISSN: 0006341X
DOI: 10.1111/j.0006-341X.2004.00194.x
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