Mathematics – Statistics Theory
Scientific paper
2006-10-17
The Annals of Statistics, Vol. 35(2007):1166-1182
Mathematics
Statistics Theory
Scientific paper
10.1214/009053606000001424
Response-adaptive designs have been extensively studied and used in clinical trials. However, there is a lack of a comprehensive study of response-adaptive designs that include covariates, despite their importance in clinical experiments. Because the allocation scheme and the estimation of parameters are affected by both the responses and the covariates, covariate-adjusted response-adaptive (CARA) designs are very complex to formulate. In this paper, we overcome the technical hurdles and lay out a framework for general CARA designs for the allocation of subjects to $K (\geq 2)$ treatments. The asymptotic properties are studied under certain widely satisfied conditions. The proposed CARA designs can be applied to generalized linear models. Two important special cases, the linear model and the logistic regression model, are considered in detail.
Chan Wai Sum
Cheung Siu Hung
Hu Feifang
Zhang Li-Xin
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