Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects

查看全文 作　　者：CHEN [1,2]Xueping;LIN [1]Jinguan

机构地区：[1]Department of Mathematics,Southeast University,Nanjing 211189,China;[2]Department of Mathematics,Jiangsu University of Technology,Changzhou 213001,China

出　　处：《Journal of Systems Science & Complexity》索引2016年第29卷第2期,共11页

基　　金：the National Natural Science Foundation of China under Grant Nos.11171065,11301073;the Natural Science Foundation of Jiangsu under Grant No.BK20141326;the Research Fund for the Doctoral Program of Higher Education of China under Grant No.20120092110021;Scientific Research Foundation of Graduate School of Southeast University under Grant No.YBJJ1444 摘　　要：This paper considers experimental situations where the interested effects have to be orthogonal to a set of nonnegligible effects.It is shown that various types of orthogonal arrays with mixed strength are A-optimal for estimating the parameters in ANOVA high dimension model representation.Both cases including interactions or not are considered in the model.In particularly,the estimations of all main effects are A-optimal in a mixed strength(2,2)_3 orthogonal array and the estimations of all main effects and two-factor interactions in G_1×G_2 are A-optimal in a mixed strength(2,2)_4 orthogonal array.The properties are also illustrated through a simulation study. 关键词：正交阵列鲁棒性参数估计混合强度模型表示相互作用交互作用高维

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Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects

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