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The Scientific World Journal
Volume 2015, Article ID 163234, 9 pages
http://dx.doi.org/10.1155/2015/163234
Research Article

Results for Two-Level Designs with General Minimum Lower-Order Confounding

1School of Mathematical Sciences, Xinjiang University, Urumqi 830046, China
2KLAS and School of Mathematics, Northeast Normal University, Changchun 130024, China
3LPMC and School of Mathematical Sciences, Nankai University, Tianjin 300071, China

Received 2 June 2014; Accepted 19 November 2014

Academic Editor: Haijun Jiang

Copyright © 2015 Zhi Ming Li and Run Chu Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. R. C. Zhang, P. Li, S. L. Zhao, and M. Y. Ai, “A general minimum lower-order confounding criterion for two-level regular designs,” Statistica Sinica, vol. 18, no. 4, pp. 1689–1705, 2008. View at Google Scholar · View at MathSciNet · View at Scopus
  2. G. E. P. Box and J. S. Hunter, “The 2k-p fractional factorial designs part I and II,” Technometrics, vol. 3, pp. 311–458, 1961. View at Google Scholar
  3. A. Fries and W. G. Hunter, “Minimum aberration 2k-p designs,” Technometrics, vol. 22, no. 4, pp. 601–608, 1980. View at Publisher · View at Google Scholar · View at MathSciNet
  4. C. F. J. Wu and Y. Chen, “A graph-aided method for planning two-level experiments when certain interactions are important,” Technometrics, vol. 34, pp. 162–175, 1992. View at Publisher · View at Google Scholar
  5. D. X. Sun, Estimation capacity and related topics in experimental designs [Ph. D. thesis], University of Waterloo, Waterloo, Canada, 1993.
  6. R. C. Zhang and Y. Cheng, “General minimum lower order confounding designs: an overview and a construction theory,” Journal of Statistical Planning and Inference, vol. 140, no. 7, pp. 1719–1730, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. J. W. Hu and R. C. Zhang, “Some results on two-level regular designs with general minimum lower-order confounding,” Journal of Statistical Planning and Inference, vol. 141, no. 5, pp. 1774–1782, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. J. Chen and M. Q. Liu, “Some theory for constructing general minimum lower order confounding designs,” Statistica Sinica, vol. 21, no. 4, pp. 1541–1555, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. Y. Cheng and R. C. Zhang, “On construction of general minimum lower order confounding 2n-m designs with N/4+1n9N/32,” Journal of Statistical Planning and Inference, vol. 140, pp. 2384–2394, 2010. View at Google Scholar
  10. P. F. Li, S. L. Zhao, and R. C. Zhang, “A theory on constructing 2n-m designs with general minimum lower order confounding,” Statistica Sinica, vol. 21, no. 4, pp. 1571–1589, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. R. Mukerjee and C. F. J. Wu, A Modern Theory of Factorial Designs, Springer, New York, NY, USA, 2006. View at MathSciNet