D-最优设计的改进单纯形构造法  

Modified Simplex Algorithm of D-Optimal Designs

作　　者：陈良生[1] 李志勇[1] 朱伟勇[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2002年第10期919-922,共4页Journal of Northeastern University(Natural Science)

基　　金：教育部博士学科点专项科研基金资助项目 ( 2 0 0 0 14 512 ) ;国家自然科学基金资助项目 ( 6 9974 0 0 8)

摘　　要：详细地研究了D 最优设计的数值构造法以及对称算法理论 ,对Evans的单纯形搜索来构造D 最优设计的方法进行了改进·应用改进的Fibonacci技巧来求新增设计点 ,考虑其对称性 ,引入负测度 ,采取双循环多点迭代的方法来构造多分量对数项混料模型的D 最优设计 ,提出了D 最优设计的改进单纯形构造法·并运用这种新方法构造了多分量对数项混料模型以及高阶对数项混料模型的DOn the basis of Evans's simplex algorithm, the negative measure was introduced to delete unnecessary design point. The modified Fibonacci sequence theory was used to search for the best point in one direction. To improve the approach speed, the multi circulation method and symmetric theory were given to add or delete multiple design points at one time. A new computer algorithm for generating D optimal design was put forward by using the modified simplex iteration. In the design of multi component mixture regression mode, the logarithmic term was used to deal with the 0 edge problem. Some of the D optimal designs of multi component mixture regression models with logarithmic term results from this new algorithm.

关 键 词：D-最优设计 单纯形构造法 对数项 混料模型 测度 对称性 统计学 

分 类 号：C8[社会学—统计学]