二阶可加混料模型的R-最优设计  

R-Optimal Designs for an Additive Quadratic Mixture Model

作　　者：赵洪雅[1] 关颖男[1] 韩大伟[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2001年第2期222-225,共4页Journal of Northeastern University(Natural Science)

基　　金：辽宁省科学技术基金资助项目! (972 2 0 0 )

摘　　要：阐明了依据线性回归模型参数联合估计的矩形置信区域所提出的一类具有崭新应用价值的最优设计准则R 最优设计准则 ,介绍了该准则的等价定理和性质·同时针对 (q - 1)维正规单纯形上的二阶可加混料模型 ,证明了其参数估计的R 最优设计柱点为单纯形的顶点和边界中心点 ;随着 q的增加 。A new class of optimality criteria i.e. R optimality criterion was described depending on a joint confidence rectangle for the parameter estimation. And its equivalence theorem and invariance property were given. This allows an easy calculation of optimal designs on many linearly transformed design spaces. An additive quadratic mixture model was chosen as an example for the R optimal designs. In the R optimal designs,support points are vertices of the simplex S q-1 and other support points shift gradually from barycentres of depth 1 to depth 2 as q increases.

关 键 词：二阶可混料模型 R-最优设计 线性回归模型 参数联合估计 矩形置信区域 设计准则 

分 类 号：O212.1[理学—概率论与数理统计]