On the efficiency of some supplemented (α1, α2, ..., αR)-resolvable block designs

被引:0
|
作者
Kachlicka, D [1 ]
Mejza, I [1 ]
机构
[1] Acad Agr Poznan, Dept Math & Stat Methods, PL-60637 Poznan, Poland
关键词
(alpha(1); alpha(2); .; alpha(R))-resolvability; efficiency balance; general balance; multistratum analysis; nested block design; orthogonal block structure; partial efficiency balance; supplemented block design;
D O I
10.1016/S0167-7152(02)00064-0
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
Statistical properties of designs with two kinds of treatments: basic and supplementary, are examined. The basic treatments are arranged randomly in an (alpha(1), alpha(2), . . . , alpha(R))-resolvable block design. This basic design is orthogonally supplemented by some orthogonal addition of the supplementary treatments. Mixed linear models of observations following two- or three-step randomizations are considered. The final design under these models is generally balanced and that allows obtaining its stratum efficiency factors for both cases. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
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页码:291 / 299
页数:9
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