Extensions of D-optimal Minimal Designs for Symmetric Mixture Models.
Extensions of D-optimal Minimal Designs for Symmetric Mixture Models.
复制标题
对称混合模型的 D 最优最小设计的扩展。
DOI：
10.1080/03610926.2014.988258
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Chervoneva,Inna
中科院分区：
文献类型：
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作者：
Li,Yanyan;Raghavarao,Damaraju;Chervoneva,Inna
混合物实验的目的是探索混合物组分的最佳混合，这将在成品中提供所需的响应特性。D-最优极小设计已被考虑用于各种混料模型，包括Scheffé的线性、二次和三次模型。通常，这些D最优设计的支持度最低，因为它们的设计点与参数数一样多。因此，它们缺乏执行失拟（LOF）测试的自由度。此外，D-最优极小设计中的大多数设计点位于边界上：设计单形的顶点、边或面。在这篇文章中，扩展的D-最优最小设计开发的一般混料模型，以允许额外的内部点在设计空间中，使整个响应面的预测。提出了一种新的对称混合模型多内点添加策略。我们比较了所提出的设计与康奈尔两个10点设计的LOF测试通过模拟。
The purpose of mixture experiments is to explore the optimum blends of mixture components, which will provide the desirable response characteristics in finished products. D-optimal minimal designs have been considered for a variety of mixture models, including Scheffé's linear, quadratic, and cubic models. Usually, these D-optimal designs are minimally supported since they have just as many design points as the number of parameters. Thus, they lack the degrees of freedom to perform the lack-of-fit (LOF) tests. Also, the majority of the design points in D-optimal minimal designs are on the boundary: vertices, edges, or faces of the design simplex. In this article, extensions of the D-optimal minimal designs are developed for a general mixture model to allow additional interior points in the design space to enable prediction of the entire response surface. Also a new strategy for adding multiple interior points for symmetric mixture models is proposed. We compare the proposed designs with Cornell two 10-point designs for the LOF test by simulations.