Covariate-adjusted response-adaptive designs for generalized linear models
Publication in refereed journal


香港中文大学研究人员 ( 现职)

张绍洪教授 (统计学系)

陈伟森教授 (金融学系)

全文

数位物件识别号 (DOI) http://dx.doi.org/10.1016/j.jspi.2014.02.006

引用次数
Web of Sciencehttp://aims.cuhk.edu.hk/converis/portal/Publication/1WOS source URL

其它资讯

摘要Response-adaptive designs have been shown to be useful in reducing the expected number of patients receiving inferior treatments in clinical trials. Zhang et al. (2007) developed a framework for covariate-adjusted response-adaptive designs that can be applied to the class of generalized linear models, providing treatment allocation strategies and estimation methods. However, their results are based on a full model in which all treatment-by-covariate interactions are present. Without relevant distribution theorems on the estimation of parameters in a reduced model, the testing of hypotheses regarding main effects, covariate effects, or their intersections is impossible with their framework. In this paper, we address this deficiency and develop the necessary theoretical properties to conduct hypothesis testing. The theorems that we develop are applicable to generalized linear models. To assist with the comprehension of our proposed framework, we apply it to the logistic regression model for illustrative purposes. We also discuss a procedure for producing asymptotic expected failure rates and treatment proportions, an area neglected in previous covariate-adjusted response-adaptive design research. A simulation study is also presented to reveal the operational characteristics of the framework, including the treatment allocations, failure rates, and test power for various covariate-adjusted response-adaptive designs. (C) 20http://aims.cuhk.edu.hk/converis/portal/Publication/14 Elsevier B.V. All rights reserved.

着者Cheung SH, Zhang LX, Hu FF, Chan WS
期刊名称Journal of Statistical Planning and Inference
出版年份20http://aims.cuhk.edu.hk/converis/portal/Publication/14
月份6
日期http://aims.cuhk.edu.hk/converis/portal/Publication/1
卷号http://aims.cuhk.edu.hk/converis/portal/Publication/149
出版社Elsevier
页次http://aims.cuhk.edu.hk/converis/portal/Publication/152 - http://aims.cuhk.edu.hk/converis/portal/Publication/16http://aims.cuhk.edu.hk/converis/portal/Publication/1
国际标準期刊号0378-3758
电子国际标準期刊号http://aims.cuhk.edu.hk/converis/portal/Publication/1873-http://aims.cuhk.edu.hk/converis/portal/Publication/1http://aims.cuhk.edu.hk/converis/portal/Publication/17http://aims.cuhk.edu.hk/converis/portal/Publication/1
语言英式英语

关键词Asymptotic normality; Clinical trials; Logistic regression; Personalized medicine; Power; Total failures
Web of Science 学科类别Mathematics; Statistics & Probability; STATISTICS & PROBABILITY