A-optimal diallel crosses for test versus control comparisons

A-optimal diallel crosses for test versus control comparisons
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DOI:
10.1080/02664760600679726
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发表时间:
2006-07-01
影响因子:
1.5
通讯作者:
Kageyama, Sanpei
Kageyama, Sanpei
中科院分区:
数学4区
文献类型:
--
作者:
Das, Ashish;Gupta, Sudhir;Kageyama, Sanpei

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研究了用于控制与测试比较的块设计的A型钻头设计。得出了充分的设计的足够条件。定义了S-0类型的设计,并且表征了A-最佳类型S-0设计。还给出了S-0型设计的A效率的下限。使用下限到A效率,显示S-0型设计可产生有效的设计,用于测试与控制比较。
A-optimality of block designs for control versus test comparisons in diallel crosses is investigated. A sufficient condition for designs to be A-optimal is derived. Type S-0 designs are defined and A-optimal type S-0 designs are characterized. A lower bound to the A-efficiency of type S-0 designs is also given. Using the lower bound to A-efficiency, type S-0 designs are shown to yield efficient designs for test versus control comparisons.