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张立新

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期刊论文

A generalized drop-the-loser rule for multi-treatment clinical trials

张立新Ruibo Sun a Siu Hung Cheung b* Li-Xin Zhang c

Journal of Statistical Planning and Inference 137(2007)2011-2023,-0001,():

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摘要/描述

Urn models are popular for response adaptive designs in clinical studies. Among different urn models, Ivanova's drop-the-loser rule is capable of producing superior adaptive treatment allocation schemes. Ivanova [2003.A play-the-winner-type urn model with reduced variability. Metrika 58, 1-13] obtained the asymptotic normality only for two treatments. Recently, Zhang et al. [2007. Generalized drop-the-loser urn for clinical trials with delayed responses. Statist. Sinica, in press] extended the drop-the-loser rule to tackle more general circumstances. However, their discussion is also limited to only two treatments. In this paper, the drop-the-loser rule is generalized to multi-treatment clinical trials, and delayed responses are allowed. Moreover, the rule can be used to target any desired pre-specified allocation proportion. Asymptotic properties, including strong consistency and asymptotic normality, are also established for general multi-treatment cases.

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