OPTIMAL DESIGNS FOR BINARY RESPONSE EXPERIMENTS WITH TWO DESIGN VARIABLES
OPTIMAL DESIGNS FOR BINARY RESPONSE EXPERIMENTS WITH TWO DESIGN VARIABLES
复制标题
具有两个设计变量的二元响应实验的优化设计
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
R. Sitter
中科院分区：
文献类型：
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作者：
R. Sitter
研究了具有两个设计变量的二元响应试验的d-最优设计和c-最优设计。结果表明，在两个设计变量和一个有界的设计空间中，存在至多有四个或六个对称布置的支撑点的D-最优设计，有时可以通过使用非对称加权来进一步减少支撑点的数目。对于c-最优性，我们确定支撑点由1、2或3个点组成。所需的数值工作量不同于一个设计变量的情况。
D-optimal and c-optimal designs for binary response experiments with two design variables are considered. It is shown that with two design variables and a bounded design space, there exists a D-optimal design which has at most four or six symmetrically arranged support points, from which further reduction in the number of support points may sometimes be accomplished by using an asymmetric weighting. For c-optimality we identify when the support consists of 1, 2 or 3 points. The amount of numerical work required does not di er from the one design variable case.