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两水平部分因析设计的最小低阶效应混杂准则(英文)

Minimum E-aberration Criterion for 2-level Fractional Factorial Designs
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摘要 根据效应分层原理,低阶效应比高阶效应更重要.在这种情况下,以别名集的结构为基础,提出了最小低阶效应混杂准则对2n-m设计进行排序.研究了新准则与其它最优性准则,即最大分辨度、最小低阶混杂、纯净效应和最大估计容量准则的联系.给出了具有16和32个水平组合的最小低阶效应混杂设计. The lower order effects are more important than the higher order effects according to the effect hierarchy principle.Under such circumstances,minimum E-aberration (MEA) criterion based on the structures of the alias sets is suggested to rank 2n-m designs.Relations between this new criterion and other optimality criteria,i.e.,the maximum resolution,minimum aberration,clear effects and maximum estimation capacity criteria,are studied.MEA designs with 16 and 32 runs are tabulated.
作者 赵胜利 刘霞
出处 《曲阜师范大学学报(自然科学版)》 CAS 2010年第4期1-8,共8页 Journal of Qufu Normal University(Natural Science)
基金 supported by the NNSF of China(10826059,10901092) the NSF of Shandong Province of China (Q2007A05) the China Postdoctoral Science Foundation(20090451292)
关键词 分辨度 最小低阶混杂 纯净 广义别名型 估计容量 Resolution minimum aberration clear generalized aliasing pattern estimation capacity
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参考文献12

  • 1Box G E P,Hunter J S.The 2k-p fractional factorial designs[J].Technometrics,1961,3:311-351,449-458.
  • 2Fries A,Hunter W G.Minimum aberration 2k-p designs[J].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[J].Technometrics,1992,34:162-175.
  • 4Cheng C S,Mukerjee R.Regular fractional factorial designs with minimum aberration and maximum estimation capacity[J].Ann Statist,1998,26:2289-2300.
  • 5Cheng C S,Steinberg D M,Sun,D X.Minimum aberration and model robustness for two-level factorial designs[J].J Roy Statist Soc Ser B,1999,61:85-93.
  • 6Mukerjee R,Wu C F J.A modern theory of factorial designs[M].Springer Series in Statistics,Springer Science+Business Media Inc,New York,2006.
  • 7Ai M Y,Zhang R C.Multistratum fractional factorial split-plot designs with minimum aberration and maximum estimation capacity[J].Statist Probab Lett,2004,69:161-170.
  • 8Zhang R C,Park D K.Optimal blocking of two-level fractional factorial designs[J].J Statist Plann Inference,2000,91:107-121.
  • 9Zhu Y,Zeng P.On the coset pattern matrices and minimum M-aberration of 2n-p designs[J].Statist Sinica,2005,15:717-730.
  • 10Chen H,Hedayat A S.2n-m designs with resolution Ⅲ and Ⅳ containing clear two-factor interactions[J].J Statist Plann Inference,1998,75:147-158.

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