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	Optimal designs for multiple treatments with unequal variances
	Wang, Yaping ; Ai, Mingyao
	2016
关键词	Optimal treatment allocation D-optimality D-A-optimality Treatment contrast Product design Variance heterogeneity MODELS
英文摘要	The response of a patient in a clinical trial usually depends on both the selected treatment and some latent covariates, while its variance varies across the treatment groups. A general heteroscedastic linear additive model incorporating the treatment effect and the covariate effects is often used in such studies. In this paper, under D- and D-A-optimality criteria, it is shown that the product of an optimal treatment allocation and an optimal design for covariates is also optimal among all possible designs for this linear additive model. Moreover, the optimal treatment allocation is characterized by a unique set of solutions to a system of equations. The connection between D- and D-A-optimal designs is also revealed. Several examples are presented to illustrate the applications of the above results to some selected models. (C) 2015 Elsevier B.V. All rights reserved.; NSFC [11271032, 11331011]; BCMIIS; SCI(E); ARTICLE; myai@math.pku.edu.cn; 175-183; 171
语种	英语
出处	SCI
出版者	JOURNAL OF STATISTICAL PLANNING AND INFERENCE
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438402]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wang, Yaping,Ai, Mingyao. Optimal designs for multiple treatments with unequal variances. 2016-01-01.

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