对数项及倒数项混料模型的XVERT法

XVERT Algorithm for Mixture Models with Logarithmic Terms and Inverse Terms

在 Snee和 Marquardt 的 XVERT 法基础上对 Draper和John的倒数项混料模型及朱伟勇和胡晨江的对数项混料模型的试验设计用计算机进行了证明与构造。其中给出了构造试验点的新方法,并对倒数项及对数项的线性混料模型的七点及八点设计,分别计算了 T_r[M^(-1)(ξ)],|M^(-1)(ξ)|与G效。

Based on the Snee's and Marquardt's XVERT algorithm, the experimentaldesigns of mixture models with Draper's and Joho's inverse terms and withZhu Weiyong's and Hu Chenjiang's Logarithmic terms are further proved andconstructed by computer. A new method is developed to construct experimentpoints,and the T_r[M^(-1)(ξ)], |M^(-1)(ξ)| and G--efficiency are computed,respectively,for the designs of both seven points and eight points of those linear mixturemodels with inverse terms and logarithm terms.