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Original Articles

Blocked Two-Level Regular Designs With General Minimum Lower Order Confounding

, &
Pages 46-65 | Received 28 Feb 2013, Accepted 22 Apr 2013, Published online: 23 Dec 2013

References

  • Bisgaard , S. 1994 . A note on the definition of resolution for blocked designs . Technometrics , 36 : 308 – 311 .
  • Chen , B. J. , Li , P. F. , Liu , M. Q. and Zhang , R. C. 2006 . Some results on blocked regular two-level fractional factorial designs with clear effects . J. Stat. Plan. Inference , 136 : 4436 – 4449 .
  • Chen , H. and Cheng , C.-S. 1999 . Theory of optimal blocking of designs . Ann. Stat. , 27 : 1948 – 1973 .
  • Cheng , C.-S. and Mukerjee , R. 2001 . Blocked regular fractional factorial designs with maximum estimation capacity . Ann. Stat. , 29 : 530 – 548 .
  • Cheng , C.-S. and Tang , B. 2005 . A general theory of minimum aberration and its applications . Ann. Stat. , 33 : 944 – 958 .
  • Cheng , S. W. and Wu , C. F. J. 2002 . Choice of optimal blocking schemes in two-level and three-level designs . Technometrics , 44 : 269 – 277 .
  • Cheng , Y. and Zhang , R. C. 2010 . On construction of general minimum lower order confounding designs with . J. Stat. Plan. Inference , 140 : 2384 – 2394 .
  • Hu , J. W. and Zhang , R. C. 2011 . Some results on two-level regular designs with general minimum lower order confounding . J. Stat. Plan. Inference , 141 : 1774 – 1782 .
  • Hu , J. W. and Zhang , R. C. 2012 . Minimum sufficient confounding information among main effects and two-factor interactions . Stat. Sinica , 22 : 869 – 884 .
  • Li , P. F. , Zhao , S. L. and Zhang , R. C. 2011 . A theory on constructing designs with general minimum lower order confounding . Stat. Sinica , 21 : 1571 – 1589 .
  • Mukerjee , R. and Wu , C. F. J. 1999 . Blocking in regular fractional factorials: A projective geometric approach . Ann. Stat. , 27 : 1256 – 1271 .
  • Sitter , R. R. , Chen , J. and Feder , M. 1997 . Fractional resolution and minimum aberration in blocked designs . Technometrics , 39 : 382 – 390 .
  • Sun , D. X. , Wu , C. F. J. and Chen , Y. Y. 1997 . Optimal blocking schemes for and designs . Technometrics , 39 : 298 – 307 .
  • Wu , C. F. J. and Hamada , M. 2000 . Experiments: Planning, analysis and parameter design optimization , New York , NY : Wiley .
  • Xu , H. 2006 . Blocked regular fractional factorial designs with minimum aberration . Ann. Stat. , 34 : 2534 – 2553 .
  • Xu , H. and Lau , S. 2006 . Minimum aberration blocking schemes for two- and three-level fractional factorial designs . J. Stat. Plan. Inference , 136 : 4088 – 4118 .
  • Zhang , R. C. and Cheng , Y. 2010 . General minimum lower order confounding designs: An overview and a construction theory . J. Stat. Plan. Inference , 140 : 1719 – 1730 .
  • Zhang , R. C. , Li , P. and Wei , J. L. 2011 . Optimal blocking for two-level regular designs with multi block variables . J. Stat. Theor. Pract. , 5 ( 1 ) : 161 – 178 .
  • Zhang , R. C. , Li , P. , Zhao , S. L. and Ai , M. Y. 2008 . A general minimum lower-order confounding criterion for two-level regular designs . Stat. Sinica , 18 : 1689 – 1705 .
  • Zhang , R. C. and Mukerjee , R. 2009a . Characterization of general minimum lower order confounding via complementary sets . Stat. Sinica , 19 : 363 – 375 .
  • Zhang , R. C. and Mukerjee , R. 2009b . General minimum lower order confounding in block designs using complementary sets . Stat. Sinica , 19 : 1787 – 1802 .
  • Zhang , R. C. and Park , D. K. 2000 . Optimal blocking of two-level fractional factorial designs . J. Stat. Plan. Inference , 91 : 107 – 121 .

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