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Orthogonal Arrays Robust to a Specified Set of Nonnegligible Effects
  • ISSN号：1009-6124
  • 期刊名称：《系统科学与复杂性学报：英文版》
  • 时间：0
  • 分类：O212.6[理学—概率论与数理统计;理学—数学] TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]Department of Mathematics, Southeast University, Nanjing 211189, China, [2]Department of Mathematics,Jiangsu University of Technology, Changzhou 213001, China., [3]Department of Mathematics, Southeast University, Nanjing 211189, China.
  • 相关基金：This research was supported by 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, and Scientific Research Foundation of Graduate School of Southeast University under Grant No. YBJJ1444.
作者： CHEN Xueping[1,2], LIN Jinguan[3]
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, Design of experiment, matrix image, orthogonal array, robust design.
中文摘要：

这份报纸考虑感兴趣的效果不得不对一套 nonnegligible 效果直角的试验性的状况。有混合力量的直角的数组的各种各样的类型为在 ANOVA 高尺寸模型表示估计参数是 A 最佳的，这被显示出。包括相互作用的两个盒子在模型被考虑。在里面特别地，所有主要效果的评价在混合力量是 A 最佳的(2， 2 )3 直角的数组和在 G 1 的所有主要效果和二因素的相互作用的评价？？

英文摘要：

This paper considers experimental situations where the interested effects have to be or- thogonal 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~ x G~ are A-optimal in a mixed strength （2, 2）4 orthogonal array. The properties are also illustrated through a simulation study.

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期刊信息
  • 《系统科学与复杂性学报：英文版》
  • 主管单位:中国科学院
  • 主办单位:中国科学院系统科学研究所
  • 主编：
  • 地址：北京东黄城根北街16号
  • 邮编：100080
  • 邮箱：
  • 电话：010-62541831 62541834
  • 国际标准刊号：ISSN：1009-6124
  • 国内统一刊号：ISSN：11-4543/O1
  • 邮发代号:82-545
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引,美国科学引文索引（扩展库）,英国科学文摘数据库
  • 被引量:125