Skip to main content
SpringerLink
Log in

Design efficiency for minimum projection uniformity designs with two levels

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

The objective of this paper is to study the issue of design efficiency for minimum projection uniformity designs. The results show that for orthogonal arrays with strength two, the minimum projection uniformity criterion is a good surrogate for the design efficiency criterion proposed by Cheng, Deng and Tang (2002).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. Fries and W. G. Hunter, Minimum aberration 2k−p designs, Technometrics, 1980, 22: 601–608.

    Article  MathSciNet  MATH  Google Scholar 

  2. B. Tang and L. Y. Deng, Minimum G 2-aberration for nonregular fractional designs, Ann. Statist., 1999, 27: 1914–1926.

    Article  MathSciNet  MATH  Google Scholar 

  3. H. Xu and C. F. J. Wu, Generalized minimum aberration for asymmetrical fractional factorial designs, Ann. Statist., 2001, 29: 549–560.

    Article  MathSciNet  MATH  Google Scholar 

  4. K. T. Fang and H. Qin, Uniformity pattern and related criteria for two-level factorials, Science in China Ser. A, 2005, 48: 1–11.

    Article  MathSciNet  MATH  Google Scholar 

  5. S. L. Zhang and H. Qin, Minimum projection uniformity criterion and its application, Statistics & Probability Letters, 2006, 76: 634–640.

    Article  MathSciNet  MATH  Google Scholar 

  6. C. S. Cheng, D. M. Steinberg, and D. X. Sun, Minimum aberration and model robustness for two-level fractional factorial designs, J. R. Statist. Soc. B, 1999, 61: 85–93.

    Article  MathSciNet  MATH  Google Scholar 

  7. C. S. Cheng, L. Y. Deng, and B. Tang, Generalized minimum aberration and design efficiency for nonregular fractional factorial designs, Statist. Sinica, 2002, 12: 991–100.

    MathSciNet  MATH  Google Scholar 

  8. A. Mandal and R. Mukerjee, Design efficiency under model uncertainty for nonregular fractions of general factorials, Statist. Sinica, 2005, 15, 697–707.

    MathSciNet  MATH  Google Scholar 

  9. K. T. Fang and Y. Wang, Number-Theoretic Methods in Statistics, Chapman and Hall., London, 1994.

    MATH  Google Scholar 

  10. B. Tang, Theory of J-characteristics for fractional factorial designs and projection justification of minimum G 2-aberration, Biometrika, 2001, 88: 401–407.

    Article  MathSciNet  MATH  Google Scholar 

  11. M. J. Hall, Hadamard matrix of order 20, Jet Propulsion Laboratory, Technical Report 1, 1965: 32–76.

Download references

Author information

Authors and Affiliations

  1. Department of Statistics, Central China Normal University, Wuhan, 430079, China

    Hong Qin & Na Zou

  2. Department of Mathematics, Beijing Jiaotong University, Beijing, 100044, China

    Shangli Zhang

Authors
  1. Hong Qin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Na Zou
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Shangli Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hong Qin.

Additional information

This research is supported by the National Natural Science Foundation of China under Grant No.10671080, NCET under Grant No. 06-672, SRFDP under Grant No. 20090144110002 and the Innovation Program Funded by Central China Normal University.

This paper was recommended for publication by Editor Guohua ZOU.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Qin, H., Zou, N. & Zhang, S. Design efficiency for minimum projection uniformity designs with two levels. J Syst Sci Complex 24, 761–768 (2011). https://doi.org/10.1007/s11424-011-8081-9

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-011-8081-9

Key words

Search

Navigation