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2^((n_1+n_2)-(k_1+k_2))部分因析裂区设计中纯净两因子交互效应的最大数目的界 被引量：3

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摘要 部分因析裂区(FFSP)设计因其特殊结构而具有重要的研究价值．一个FFSP设计中有两类因子:全区(WP)因子和子区(SP)因子,它们可以组成3种两因子交互效应:WP两因子交互效应,WS两因子效应和SP两因子交互效应．本文在纯净效应准则下考虑分辨度Ⅲ和Ⅳ的FFSP设计,得到了FFSP设计中纯净WP两因子交互效应及WS两因子交互效应的最大数目的上、下界,给出了该数目达到下界的FFSP设计的构造方法,并进一步考察了这些构造方法的实际效果．
作者 訾雪旻 张润楚 刘民千
机构地区 南开大学数学科学学院统计学系及核心数学与组合数学教育部重点实验室
出处 《中国科学（A辑）》 CSCD 北大核心 2006年第12期1389-1403,共15页 Science in China(Series A)
基金 国家自然科学基金(批准号:10671099 10571093) 高等学校博士学科点专项科研基金(批准号:20050055038) 南开大学科技创新基金和陈省身数学研究所访问学者计划资助项目
关键词 部分因析设计 裂区 纯净效应准则 分辨度
分类号 O152 [理学—基础数学]
  • 相关文献

参考文献24

  • 1Box G E P,Hunter J S.The 2^k-p fractional factorial designs.Technometrics,1961,3:311-351,449-458
  • 2Fries A,Hunter W G.Minimum aberration 2^k-p designs.Technometrics,1980,22:601-608
  • 3Wu C F J,Chen Y.A graph-aided method for planning two-level experiments when certain interactions are important.Technometrics,1992,34:162-175
  • 4Chen J,Sun D X,Wu C F J.A catalogue of two-level and three-level fractional factorial designs with small runs Internat.Statist Rev,1993,61:131-145
  • 5Chen H,Hedayat A S.2^n-m designs with resolution Ⅲ or Ⅳ containing clear two-factor interactions.J Statist Plann Inference,1998,75:147-158
  • 6Tang B,Ma F,Ingran D,et al.Bounds on the maximum numbers of clear two factor interactions for 2^m-p designs of resolution Ⅲ and Ⅳ.Canad J Statist,2002,30:127-136
  • 7Wu H,Wu C F J.Clear two-factor interactions and minimum aberration.Ann Statist,2002,30:1496-1511
  • 8Ai M Y,Zhang R C.s^n-m designs containing clear main effects or clear two-factor interactions.Statist Probab Lett,2004,69:151-160
  • 9Ke W,Tang B,Wu H.Compromise plans with clear two-factor interactions.Statist Sinica,2005,15:709-715
  • 10杨贵军,刘民千,张润楚.2_(IV)^(m-p)设计的弱最小低阶混杂与最多纯净两因子交互效应[J].中国科学（A辑）,2005,35(9):1071-1080. 被引量：5

二级参考文献56

  • 1艾明要,何书元.部分因析裂区设计最优分区组的理论[J].中国科学（A辑）,2005,35(3):265-272. 被引量：2
  • 2Fries A, Hunter W G. Minimum aberration 2^k-p designs. Technometrics, 1980, 26:225-232.
  • 3Chen J, Sun D X, Wu C F J. A catalogue of two-level and three-level fractional factorial designs with small runs. Internat Statist Rev, 1993, 61 ( 1 ): 131 - 145.
  • 4Tang B, Wu C F J. Characterization of minimum aberration 2^n-k designs in terms of their complementary designs. Ann Statist, 1996, 25:1176-1188.
  • 5Suen C Y, Chen H, Wu C F J. Some identities on q^n-m designs with application to minimum aberrations.Ann Statist, 1997, 25(3): 1176-1188.
  • 6Wu C F J, Zhang R C. Minimum aberration designs with two-level and four-level factors. Biometrika,1993, 80(1): 203-209.
  • 7Wu C F J, Zhang R C, Wang R G, Construction of asymmetrical orthogonal arrays of the type OA(8^k,(s^r 1)^n 1 ... (s^r t)^n t ). Statist Sinica, 1992, 2:203-219.
  • 8Zhang R C, Shao Q. Minimum aberration (s^2)s^n-k designs. Statist Sinica, 2001, 11:213-223.
  • 9Mukerjee R, Wu C F J. Minimum aberration designs for mixed Factorials in terms of complementary sets,Statist Sinica, 2001, 11 : 225-239.
  • 10Ai M Y. Zhang R C. Characterization of minimum aberration mixed factorials in terms of consulting designs, Statist Papers, 2004, 46(2): 157-171.

共引文献5

同被引文献39

  • 1杨贵军,刘民千,张润楚.2_(IV)^(m-p)设计的弱最小低阶混杂与最多纯净两因子交互效应[J].中国科学（A辑）,2005,35(9):1071-1080. 被引量：5
  • 2Yingshan ZHANG,Weiguo LI,Shisong MAO,Zhongguo ZHENG.A SIMPLE METHOD FOR CONSTRUCTING ORTHOGONAL ARRAYS BY THE KRONECKER SUM[J].Journal of Systems Science & Complexity,2006,19(2):266-273. 被引量：8
  • 3赵胜利,张润楚,刘民千.含有纯净两因子交互作用成分的4^m2^n设计的某些结果[J].中国科学（A辑）,2007,37(3):323-340. 被引量：3
  • 4庞善起,张应山.正交表的乘法[J].数学物理学报（A辑）,2007,27(3):568-576. 被引量：5
  • 5Ai M Y, Zhang R C. Characterization of minimum aberration mixed factorials in terms of consulting designs. Statist Papers, 2005, 46(2): 157-171.
  • 6Wu C F J, Chen Y. A graph-aided method for planning two-level experiments when certain interactions are important. Technometrics, 1992, 34:162-175.
  • 7Tang B, Ma F, Ingram D, Wang H. Bounds on the maximum number of clear two-factor interactions for2^m-p designs of resolution Ⅲ and Ⅳ. Canad J Statist, 2002, 30:127-136.
  • 8Chen H, Hedayat A S. 2^n-m designs with resolution Ⅲ qr Ⅳ containing clear two-factor interactions. J Statist Plann Inference, 1998, 75:147-158.
  • 9Wu H, Wu C F J. Clear two-factor interactions and minimum aberration. Ann Statist, 2002, 30:1496-1511.
  • 10Ai M Y, Zhang R C. s^n-m designs containing clear main effects or clear two-factor interactions. Statist Probab Lett, 2004, 69:151-160.

引证文献3

二级引证文献5

中国科学（A辑）
2006年 第12期

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