In this article, we consider the problem of seeking locally optimal designs for nonlinear dose‐response models with binary outcomes. Applying the theory of Tchebycheff Systems and other algebraic tools, we show that the locally D‐, A‐, and c‐optimal designs for three binary dose‐response models are minimally supported in finite, closed design intervals. The methods to obtain such designs are presented along with examples. The efficiencies of these designs are also discussed. The Canadian Journal of Statistics 46: 336–354; 2018 © 2018 Statistical Society of Canada

中文翻译：

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一些二进制剂量响应模型的局部最优设计。

在本文中，我们考虑了为具有二进制结果的非线性剂量反应模型寻求局部最优设计的问题。应用Tchebycheff系统和其他代数工具的理论，我们表明，在有限的封闭设计区间内，对三个二进制剂量响应模型的局部D-，A-和c-最佳设计的支持最少。结合示例介绍了获得此类设计的方法。还讨论了这些设计的效率。加拿大统计杂志46：336–354；2018©2018加拿大统计学会