Please use this identifier to cite or link to this item: https://doi.org/10.1006/jmva.2001.1987
Title: An adaptive design for multi-arm clinical trials
Authors: Bai, Z.D. 
Hu, F. 
Shen, L.
Keywords: Adaptive designs
Asymptotic limits
Clinical trial
Generalized Friedman's urn
Play-the winner
Issue Date: 2002
Citation: Bai, Z.D., Hu, F., Shen, L. (2002). An adaptive design for multi-arm clinical trials. Journal of Multivariate Analysis 81 (1) : 1-18. ScholarBank@NUS Repository. https://doi.org/10.1006/jmva.2001.1987
Abstract: The randomized play-the-winner (RPW) rule is very useful in clinical trials for patient allocation with two treatments. L. J. Wei (1979, Ann. Statist. 7, 291-296) introduces the generalized Friedman's urn (GFU) model to clinical trials of K treatments (as an extension of the RPW). In this paper, we propose a new adaptive design for multi-arm clinical trials. The proposed adaptive design proportionally depends on the success rates of each treatment, so that a treatment which is doing well is more likely to be assigned in future trials than a treatment which is doing poorly. The new design is more reasonable although it is no longer a GFU model. In the paper we show that the new design has some desirable asymptotic properties and that it has wider and easier applications in practice. Some simulations also support this new design. © 2001 Elsevier Science (USA).
Source Title: Journal of Multivariate Analysis
URI: http://scholarbank.nus.edu.sg/handle/10635/104989
ISSN: 0047259X
DOI: 10.1006/jmva.2001.1987
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