样条函数模型及其A-最优设计  

Spline Function Models and Their Application in the A-Optimal Design

作　　者：韩大伟[1] 关颖男[1] 赵洪雅[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1期105-107,共3页Journal of Northeastern University(Natural Science)

基　　金：辽宁省科学技术基金资助项目! (972 0 0 0 )

摘　　要：对于一些混料试验 ,在整个的单纯形试验区域 ,不同子区域中响应变量Y的特性有明显不同 ,引入样条函数T1(x1-α) ,得到分段多项式模型 ,在整个试验区域用一个多项式模型来表示 ,只用一个试验设计 ,就能估计出模型的所有系数·讨论了在实际中经常用到的两类不同的二阶分块混料模型 ,给出整个试验区域的A -最优设计以及它们测度的解析解 。In some mixture experiments,the property of the response variable ‘Y’is obviously different in the different subregion,it must use different models in the different subregion. So in the whole simplex experimental region,it must use a lot of models and designs. By introducing a spline function T 1(x 1-α ),only one mixture model and one design is used in the whole simplex experimental region. Two different sorts of quadratic segented mixture experimental models are used in this article. Their A optimal designs and their analytic solutions are given.

关 键 词：混料设计 A-最优性 样条函数模型 

分 类 号：TQ027[化学工程]