The construction of exact D optimum wxperimental designs with application to blocking response surface designs

The construction of exact D optimum wxperimental designs with application to blocking response surface designs
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精确 D 最佳实验设计的构建及其应用于阻塞响应面设计

DOI:
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发表时间:
1989
期刊:
影响因子:
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通讯作者:
A. Donev
A. Donev
中科院分区:
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文献类型:
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作者:
A. Atkinson;A. Donev

文献摘要

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摘要研究了同时存在定性因素和定量因素时最优设计的性质。精确设计的构造算法进行了描述,这是普遍适用的。当定性因素代表块变量的情况下,给予特殊的待遇,一个修改后的算法提供了机会,将实验分为指定大小的块。实例给出的二阶模型中的定量因素分为两个或三个不同大小的块。使用的调整算法,以改善从候选点列表中产生的设计证明。
SUMMARY The properties of optimum designs are investigated when there are both qualitative and quantitative factors. Algorithms for the construction of exact designs are described, which are of general applicability. The case when the qualitative factors represent blocking variables is given special treatment; a modified algorithm provides the opportunity to divide the experimental trials into blocks of specified sizes. Examples are given of second-order models in the quantitative factors divided into two or three blocks of a variety of sizes. Use of the adjustment algorithm to improve such designs generated from a list of candidate points is demonstrated.