标题： 伪贝叶斯最优设计用于拟合分数多项式响应面模型 显示英文标题

标题： Pseudo-Bayesian Optimal Designs for Fitting Fractional Polynomial Response Surface Models

摘要： 分式多项式模型在响应面研究中可能很有用。 随着统计软件中非线性模型拟合例程的可用性，它们正被越来越多地使用。 然而，如同所有实验一样，设计应选择使得模型参数尽可能高效地估计。 此类模型的设计选择涉及已知的非线性模型的设计困难，但\cite{gilmour_trinca_2012b}提出了一种能够生成精确设计的方法，该方法利用了当今可用的计算设施。 在本文中，我们使用这种方法为几个分式多项式模型找到贝叶斯最优精确设计。 最优设计与响应面问题中的各种标准设计进行了比较。 显示英文摘要

摘要： Fractional polynomial models are potentially useful for response surfaces investigations. With the availability of routines for fitting nonlinear models in statistical packages they are increasingly being used. However, as in all experiments the design should be chosen such that the model parameters are estimated as efficiently as possible. The design choice for such models involves the known nonlinear models' design difficulties but \cite{gilmour_trinca_2012b} proposed a methodology capable of producing exact designs that makes use of the computing facilities available today. In this paper, we use this methodology to find Bayesian optimal exact designs for several fractional polynomial models. The optimum designs are compared to various standard designs in response surface problems.