一些二元剂量反应模型的局部最优设计。
Locally optimal designs for some binary dose-response models.
作者信息
Zhai Yi, Fang Zhide
机构信息
School of Information, Qilu University of Technology, Jinan, Shandong, China.
Biostatistics Program, School of Public Health, Louisiana State University Health Sciences Center, New Orleans, USA.
出版信息
Can J Stat. 2018 Jun;46(2):336-354. doi: 10.1002/cjs.11355. Epub 2018 Apr 27.
In this paper, 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 -, -, and -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.
在本文中，我们考虑了为具有二元结果的非线性剂量反应模型寻找局部最优设计的问题。应用切比雪夫系统理论和其他代数工具，我们表明，三种二元剂量反应模型的局部最优、最优和最优设计在有限的封闭设计区间内具有最小支撑。文中给出了获得此类设计的方法及示例。此外，还讨论了这些设计的效率。
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