| 多响应混料模型的D-和A-最优设计 |
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| 引用本文： | 金红娣,岳荣先.多响应混料模型的D-和A-最优设计[J].上海师范大学学报(自然科学版),2008,37(2):124-130. |
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| 作者姓名： | 金红娣 岳荣先 |
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| 作者单位： | 上海师范大学,数理信息学院,上海,200234 |
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| 基金项目： | This work was partially supported by NSFC grant(10671129);the Special Funds for Doctoral Authori-ties of Education Ministry(20060270002). |
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| 摘 要： | 考虑多响应模型E（Yi（X））=η（X）=fi^T（X）βi（i=1，2），其中两个响应分别为Seheffe一阶和二阶模型．主要研究一类支撑点为各顶点X←→（1，0，…，0）和各棱中心X←→（1/2，1/2，0，…，0）的设计，根据D-和A-最优设计准则得到最优设计测度ri^＊和r2^＊最后给出最优设计效率的一些数值结果，说明D-和A-最优设计在模型参数估计方面差别不大．
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| 关 键 词： | 多响应 混料试验 D-和A-最优设计 设计效率 |
| 文章编号： | 1000-5137(2008)02-0124-07 |
| 修稿时间： | 2007年10月22 |
D- and A-optimal designs for mixture experiments with multiresponse models |
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| JIN Hong-di,YUE Rong-xian.D- and A-optimal designs for mixture experiments with multiresponse models[J].Journal of Shanghai Normal University(Natural Sciences),2008,37(2):124-130. |
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| Authors: | JIN Hong-di YUE Rong-xian |
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| Institution: | ( College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China) |
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| Abstract: | The muhiresponse models E( Yi (X)) = ηi(X) = fiT (X)βi ( i = 1,2) are considered, where η1, and η2 are the Scheffé's linear model and quadratic model, respectively.D- and A-optimal designs are investigated in this paper. More precisely, we restrict ourselves to a particular type of designζ* whose support points are X(→)(1,0,…,0)and X(→)(1/2,1/2,0,…,0),and obtain the weights r*1 and r*2 according to the D- and A-optimal design criteria. The numerical results about the efficiencies of these optimal designs show that D- and A-optimal designs do not differ too much in some mixture experiments. |
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| Keywords: | multiresponse experiments with mixtures D-and A-optimal designs efficiency of design |
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