| Q和Q_B准则在Double设计中的应用 |
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| 引用本文： | 张裕,鲁倩,覃红.Q和Q_B准则在Double设计中的应用[J].应用数学,2008(Z1). |
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| 作者姓名： | 张裕 鲁倩 覃红 |
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| 作者单位： | 华中师范大学数学与统计学院;武汉理工大学理学院; |
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| 基金项目： | 国家自然科学基金资助项目(10671080) |
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| 摘 要： | 一阶回归模型通常用来从众多因子当中筛选出效应显著的因子,而Q和QB准则能够比较简单地从众多合格的拟合子模型中找出最优设计.因此本文主要探讨了极大模型为一阶回归模型时,初始设计d分别与Double设计d dd-d,完全反转设计d-d,设计dd11-dd22之间的关系,以及它们在Q和QB准则下的最优性关系.
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| 关 键 词： | Double设计 Q和QB准则 Hadamard矩阵 极大模型 |
Application of Q and QB Criteria in Double Designs |
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| ZHANG Yu,LU Qian,QIN Hong.Application of Q and QB Criteria in Double Designs[J].Mathematica Applicata,2008(Z1). |
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| Authors: | ZHANG Yu LU Qian QIN Hong |
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| Institution: | 1.School of Mathematics and Statistics;Huazhong Normal University;Wuhan 430079;China;2.School of Science;Wuhan University of Technology;Wuhan 430070;China |
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| Abstract: | First order maximal model is usually used for screening a few important main effects from a large number of potential factors.Q and QB criteria can find the optimal design under many eligible model uncertainty.This paper aims to explore the optimal relationship of Q and QB criteria between original design and its double design under first order maximal model. |
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| Keywords: | Double design Q criteria QB criteria Hadamard matrix Maximal model |
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