Optimal design with many blocking factors

被引：2
|
作者：
Morgan, JP [1 ]
Bailey, RA
机构：
[1] Old Dominion Univ, Dept Math & Stat, Norfolk, VA 23529 USA
[2] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
来源：
ANNALS OF STATISTICS | 2000年 / 28卷 / 02期
关键词：
block design; optimal design; orthogonality; nested factors; crossed factors;
D O I：
10.1214/aos/1016218230
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：
Designs for sets of experimental units with many blocking factors are studied. It is shown that if the set of blocking factors satisfies a certain simple condition then the information matrix for the design has a simple form. In consequence, a design is optimal if it is optimal with respect to one particular blocking factor and regular with respect to all the rest, in a sense which is made precise in the paper. This encompasses several previous results for optimal designs with more than one blocking factor, and applications to many other situations are given.
引用
收藏
页码：553 / 577
页数：25
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