Maximin efficient design of experiment for exponential regression models
Maximin efficient design of experiment for exponential regression models
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DOI：
10.1016/j.jspi.2005.06.006
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发表时间：
2006-12-01
影响因子：
0.9
通讯作者：
Pepelyshev, Andrey
中科院分区：
文献类型：
--
作者：
Dette, Holger;Martinez Lopez, Ignacio;Pepelyshev, Andrey
本文给出了几种指数衰减模型的稳健有效设计。这些模型广泛用于化学、药代动力学或微生物学。我们提出了一个最大最小的方法，它确定了最优设计，使最小的D-效率（在一定范围内）成为最大的。如果优化是在最小支撑设计类中进行的，则可以得到解析解。在一般情况下，最优设计相对于极大极小准则必须确定数值和这些设计的一些性质也进行了研究。我们还通过重新分析文献中的数据示例来说明我们的方法的好处。(c)2005 Elsevier B. V.保留所有权利。
In this paper robust and efficient designs are derived for several exponential decay models. These models are widely used in chemistry, pharmacokinetics or microbiology. We propose a maximin approach, which determines the optimal design such that a minimum of the D-efficiencies (taken over a certain range) becomes maximal. Analytic solutions are derived if optimization is performed in the class of minimal supported designs. In general the optimal designs with respect to the maximin criterion have to be determined numerically and some properties of these designs are also studied. We also illustrate the benefits of our approach by reanalysing a data example from the literature. (c) 2005 Elsevier B.V. All rights reserved.