A-OPTIMAL INCOMPLETE BLOCK-DESIGNS WITH UNEQUAL BLOCK SIZES FOR COMPARING TEST TREATMENTS WITH A CONTROL

被引:5
|
作者
ANGELIS, L [1 ]
MOYSSIADIS, C [1 ]
机构
[1] ARISTOTELIAN UNIV SALONIKA,DEPT MATH,GR-54006 SALONIKA,GREECE
关键词
CONTROL-TEST TREATMENT COMPARISONS; A-OPTIMALITY; BTIB AND GDTD(M+1) DESIGNS;
D O I
10.1016/0378-3758(91)90072-M
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
A-optimal designs for comparing v test treatments with a control in b blocks of unequal sizes are considered. A new class of designs is defined, namely the BTIUB designs, which can be considered as an extension of the BTIB designs of Bechhofer and Tamhane in the case of blocks with unequal sizes. Some conditions for the existence and construction of BTIUB designs are given. Finally an algorithm for the construction of A-optimal BTIUB designs is developed and it is applied in the case of two block sizes. Tables of some A-optimal BTIUB designs are given.
引用
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页码:353 / 368
页数:16
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