Optimal designs for nearest-neighbor analysis

被引:6
|
作者
Chai, FS
Majumdar, D
机构
[1] Acad Sinica, Inst Stat Sci, Taipei, Taiwan
[2] Univ Illinois, Dept Math Stat & Comp Sci M C 249, Chicago, IL 60607 USA
关键词
linear variance model; semibalanced array; universal optimality; correlated observations;
D O I
10.1016/S0378-3758(99)00155-X
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
For field trials of v varieties in blocks of size k, in the presence of a random trend, data may be analyzed by the nearest-neighbor method based on first differences. The variance components model for this analysis is the linear variance (LV) model. Optimal designs for the case k less than or equal to v were given by Martin et al. (J. Statist Plann. Inference 34 (1993) 433-450) and the case v < k less than or equal to 2v by Martin (1998). In this paper, for the general case of any k and v we show that a universally optimal design can be constructed from a semibalanced array if the varieties within blocks are arranged in a particular order. The order does not depend on the magnitudes of the variance components. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:265 / 275
页数:11
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