D-OPTIMALITY OF THE DUAL OF BIB DESIGNS

被引：0
|
作者：
POHL, GM [1 ]
机构：
[1] UNIV ILLINOIS,DEPT MATH STAT & COMP SCI,CHICAGO,IL 60680
来源：
STATISTICS & PROBABILITY LETTERS | 1992年 / 14卷 / 03期
关键词：
D-OPTIMALITY; BIB DESIGNS; DUAL DESIGNS; 2-FACTOR DESIGNS;
D O I：
10.1016/0167-7152(92)90022-W
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：
BIB designs are shown to be D-optimal for the joint estimation of treatment contrasts and block contrasts over the class of all connected designs with v treatments in b blocks and a total of n observations. As a result, the dual of any BIB design is seen to be D-optimal for the estimation of treatment contrasts alone over the class of all connected designs with v treatments in b blocks of size k.
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页码：201 / 203
页数：3
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