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D-最优设计的稳健准则比较

Comparison of robust criteria for D-optimal designs.

作者信息

Foo Lee Kien, McGree James, Eccleston John, Duffull Stephen

机构信息

School of Pharmacy, University of Otago, Dunedin, New Zealand.

出版信息

J Biopharm Stat. 2012;22(6):1193-205. doi: 10.1080/10543406.2011.580484.

Abstract

This study compared the performance of a local and three robust optimality criteria in terms of the standard error for a one-parameter and a two-parameter nonlinear model with uncertainty in the parameter values. The designs were also compared in conditions where there was misspecification in the prior parameter distribution. The impact of different correlation between parameters on the optimal design was examined in the two-parameter model. The designs and standard errors were solved analytically whenever possible and numerically otherwise.

摘要

本研究比较了一种局部最优性准则和三种稳健最优性准则在单参数和双参数非线性模型参数值存在不确定性时的标准误差表现。在先前参数分布存在错误设定的情况下,还对这些设计进行了比较。在双参数模型中,研究了参数之间不同相关性对最优设计的影响。只要有可能,就通过解析法求解设计和标准误差,否则通过数值法求解。

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