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Q准则下的最优double设计 被引量:2

Optimum Double Designs Under the Q Criterion
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摘要 最近,Q准则被用来研究设计在模型未知前提下的投影效率,并用它作为因子筛选准则来筛选最优的设计.本文里,我们将讨论double设计D(d)与其初始设计d的Q准则之间的联系. Recently, the Q criterion has been employed to explore the projection efficiency of a design under model uncertainty and used as one criterion for optimal factor assignments. In this paper, we study the issue of relationship under the Q criterion between a double design D(d) and its original design d.
作者 刘晓华 覃红
出处 《应用数学学报》 CSCD 北大核心 2008年第6期987-992,共6页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10671080) 教育部新世纪优秀人才支持计划(NCET-06-672)资助项目
关键词 double设计 部分因析设计 Q准则 极大模型 double design fractional factorial design Q criterion maximal model
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参考文献11

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同被引文献15

  • 1Booth K H V and Cox D R. Some systematic supersatured designs. Technometrics, 1962, 22: 601-608. 被引量:1
  • 2Box G E P and Hunter J S. The 2k-p fractional factorial designs. Technometrics, 1961, 3: 311-351. 被引量:1
  • 3Tang B and Deng L Y. Minimum G2-aberration for nonregular fractional designs. Ann. Statist., 1999, 27: 1914-1926. 被引量:1
  • 4Xu H and Wu C F J. Generalized minimum aberration for asymmetrical fractional factorial designs. Ann. Statist., 2001, 29: 549-560. 被引量:1
  • 5Tsai P W, Gilmour S G and Mead R. Projective three-level main effects designs robust to model uncertainty. Biometrika, 2000, 87: 467-475. 被引量:1
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  • 9Xu H Q and Cheng C S. A complementary design theory for doubling. Ann. Statist., 2008, 36: 445-457. 被引量:1
  • 10Lei Y J and Qin H. Uniformity in double design. Acta Math. Sci, 2012. 被引量:1

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