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二水平正交饱和设计的统计分析：零效应搜索法 被引量：7

Statistical analysis of 2-level orthogonal saturated designs: the procedure of searching zero effects
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摘要 分析正交饱和设计的困难在于,由于没有剩余的自由度用于误差方差的估计,所以一般的方差分析方法不再适用.基于次序统计量期望的一个相关性质,本文提出了一种确定零效应个数的方法一零效应搜索法.这样就能够给出误差方差的估计,进而确定模型的显著因子或显著效应. The difficulty of analyzing orthogonal saturated designs is that there are no degrees of freedom to estimate the error variance, so that the ordinary ANOVA is no more available. The paper proposes a new method to identify the number of the effect parameters which is equal to zero, namely the Procedure of Searching Zero Effects. This proposed method is based on the mean of the order statistics. Consequently, the error variance is estimated and the active effects are identified
作者 张晓琴 张应山 茆诗松
机构地区 华东师范大学统计系
出处 《华东师范大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第1期51-59,共9页 Journal of East China Normal University(Natural Science)
关键词 正交饱和设计 次序统计量 零效应 显著效应 orthogonal saturated designs order statistics zero effects active effects
分类号 O212.1 [理学—概率论与数理统计]
  • 相关文献

参考文献10

  • 1ABOUKALAM M A F, AL-SHIHA A A, A robust analysis for unreplicated factorial experiments[J]. Computational Statistics & Data Analysis, 2001, 36(1): 31-46.
  • 2BERK K N, PICARD R R. Significance tests for saturated orthogonal arrays[J]. J Quality Technology, 1991, 23: 79-89.
  • 3CHEN Y. On the analysis of unreplicated factorial designs[D]. Dortmund, German: University of Dortmund, 2003.
  • 4DONG F. On the identification of active contrasts in unreplicated fractional factorials[J]. Statist Sinica, 1993, 3(1): 209-217.
  • 5HAALAND P D, O'CONNELL M A. Inference for effect-saturated fractional factorials[J]. Technometrics, 1995, 37; 82-93.
  • 6LENTH R V. Quick and easy analysis of unreplicated factorials[J]. Technometrics, 1989, 31: 469-473.
  • 7VOSS D T. Generalized modulus-ratio test for analysis of factorial designs with zero degrees of freedom for error[J]. Comm Statist Theory Methods, 1988, 17: 3345-3359.
  • 8WILK M B, GNANADESIKAN R, FREENY A E. Estimation of error variance from smallest ordered contrasts[J]. J Amer Statist Assoc, 1963, 58: 152-160.
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同被引文献27

  • 1张晓琴.正交饱和设计的统计分析[J].应用概率统计,2007,23(1):91-101. 被引量：3
  • 2Aboukalam, M.A.F. and Al-Shiha, A.A., A robust analysis for unreplicated factorial experiments, Computational Statistics &Data Analysis, 36(1)(2001), 31-46.
  • 3Berk, K.N. and Picard, R.R., Significance tests for saturated orthogonal arrays, J. Quality Technology, 23(1991), 79-89.
  • 4Chen, Y., On the analysis of unreplicated factorial designs, doctoral thesis, Department of Statistics of the University of Dortmund, Germang, (http://eldorado.uni-dortmund.de:S080/FB5/1s2/forschung/ 2003/Chen), 2003.
  • 5Dong, F., On the identification of active contrasts in unreplicated fractional factorials, Statist. Sinica, 1(3)(1993), 209-217.
  • 6Ha~land, P.D. and O'Connell, M.A., Inference for effect-saturated fractional factorials, Technometrics, 37(1995), 82-93.
  • 7Lenth, R.V., Quick and easy analysis of unreplicated factorials, Technometrics, 31(1989), 469-473.
  • 8Voss, D.T., Generalized modulus-ratio test for analysis of factorial designs with zero degrees of free- dom for error, Comm. Statist. Theory Methods, 17(1988), 3345-3359.
  • 9Voss, D.T. and Wang, W., On adaptive testing in orthogonal saturated designs, Statist. Sinica, 16(2006), 227-234.
  • 10Wang, W. and Voss, D.T., Control of error rates in adaptive analysis of orthogonal saturated designs, Ann. Statist., 29(2001), 1058-1065.

引证文献7

二级引证文献9

华东师范大学学报（自然科学版）
2008年 第1期

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