Locally D-optimal Designs for Binary Responses in the Presence of Factorial Effects

Locally D-optimal Designs for Binary Responses in the Presence of Factorial Effects
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DOI:
10.1007/s42519-020-0085-0
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发表时间:
2020-02
影响因子:
0.6
通讯作者:
Zhongsheng Wang;J. Stufken
Zhongsheng Wang;J. Stufken
中科院分区:
--
文献类型:
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作者:
Zhongsheng Wang;J. Stufken

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研究一类广义线性模型(GLMs)的d -最优设计问题。特别地,我们研究了具有阶乘效应和一个连续协变量的glm。析因效应包括主效应和相互作用,连续协变量的设计区域可以是不受限制的。利用等效定理建立了该设计的局部d最优性,并通过静电放电实验对结果进行了验证。
We consider the problem of finding D-optimal designs for certain generalized linear models (GLMs). In particular, we study GLMs with factorial effects and one continuous covariate. The factorial effects include both main effects and interactions, and the design region for the continuous covariate can be unrestricted. The local D-optimality of the proposed design is established through the equivalence theorem, and the results are illustrated with an electrostatic discharge (ESD) experiment.