论文标题
为不同的Scheffé型号构建$ k-$最佳设计
Constructing $K-$optimal designs for different Scheffé models
论文作者
论文摘要
为了避免在回归分析中进行多重共线性，Ye和Zhou（2013）提出了$ k-$最佳标准。到目前为止，最受欢迎的模型用于建模混合物实验的响应是Scheffé模型。但是，没有关于为混合模型构建$ k- $最佳设计的报道。该论文为一阶和二阶Scheffé型号构建了$ k-$最佳设计。获得了一阶和二阶Scheffé模型的分析解决方案。给出了一系列的数值结果和示例来说明理论。
To avoid multicollinearity in regression analysis, Ye and Zhou(2013) proposed $K-$optimality criterion. By far the most popular models for modeling the response of a mixture experiment are the Scheffé models. However, there have been no reports about constructing $K-$optimal designs for mixture models. The paper constructs $K-$optimal designs for first-order and second-order Scheffé models. The analytical solutions for first-order and second-order Scheffé models are obtained. A series of numerical results and examples are given to illustrate the theory.
