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	OPTIMAL DESIGNS FOR THE PROPORTIONAL INTERFERENCE MODEL
	Li, Kang ; Zheng, Wei ; Ai, Mingyao
	2015
关键词	Approximate design theory equivalence theorem interference model optimal design proportional model NEIGHBOR-BALANCED DESIGNS OPTIMAL CROSSOVER DESIGNS UNIVERSALLY OPTIMAL DESIGNS CORRELATED OBSERVATIONS COMPETITION ADJUSTMENT TRIALS
英文摘要	The interference model has been widely used and studied in block experiments where the treatment for a particular plot has effects on its neighbor plots. In this paper, we study optimal circular designs for the proportional interference model, in which the neighbor effects of a treatment are proportional to its direct effect. Kiefer's equivalence theorems for estimating both the direct and total treatment effects are developed with respect to the criteria of A, D, E and T. Parallel studies are carried out for the undirectional model, where the neighbor effects do not depend on whether they are from the left or right. Moreover, the connection between optimal designs for the directional and undiretional models is built. Importantly, one can easily develop a computer program for finding optimal designs based on these theorems.; NSFC [11271032, 11331011]; BCMIIS; LMEQF; SCI(E); ARTICLE; likang1115@163.com; weizheng@iupui.edu; myai@pku.edu.cn; 4; 1596-1616; 43
语种	英语
出处	SCI
出版者	ANNALS OF STATISTICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/417878]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Kang,Zheng, Wei,Ai, Mingyao. OPTIMAL DESIGNS FOR THE PROPORTIONAL INTERFERENCE MODEL. 2015-01-01.

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