Skip to main content
Log in

Inequivalent projections of Hadamard matrices of orders 16 and 20

  • Published:
Metrika Aims and scope Submit manuscript

Abstract

Screening designs are useful for situations where a large number of factors (q) is examined but only few (k) of these are expected to be important. It is of practical interest for a given k to know all the inequivalent projections of the design into the k dimensions.

In this paper we give all the inequivalent projections of inequivalent Hadamard matrices of orders 16 and 20 into k = 3, 4 and 5 dimensions, as well as their frequencies.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Box GEP, Hunter JS (1961) The 2k-p fractional factorial designs. Technometrics 27:173–180

    Google Scholar 

  2. Box GEP, Hunter WG, Hunter JS (1978) Statistics for experimenters. Wiley, New York

    MATH  Google Scholar 

  3. Goh D, Street DJ (1998) Projective properties of small Hadamard matrices and fractional factorial designs. J. Combin. Math. Combin. Comput. 28:141–148

    MATH  MathSciNet  Google Scholar 

  4. Hall M Jr. (1961) Hadamard matrices of order 16. J. P. L. Research Summary, No. 36-10, 1:21–26

    Google Scholar 

  5. Hall M Jr. (1965) Hadamard matrices of order 20. J. P. L. Technical Report, No. 32-761

    Google Scholar 

  6. Lin DKJ, Draper NR (1992) Projection properties of Plackett and Burman designs. Technometrics 34:423–428

    Google Scholar 

  7. Lin DKJ, Draper NR (1995) Screening properties of certain two-level designs. Metrika 42:99–118

    Article  MATH  Google Scholar 

  8. Plackett RL, Burman JP (1946) The design of optimum multifactorial experiments. Biometrika 33:305–325

    Article  MATH  MathSciNet  Google Scholar 

  9. Wang JC, Wu CFJ (1995) A hidden projection property of Plackett-Burman and related designs. Statistica Sinica 5:235–250

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Evangelaras, H., Georgiou, S. & Koukouvinos, C. Inequivalent projections of Hadamard matrices of orders 16 and 20. Metrika 57, 29–35 (2003). https://doi.org/10.1007/s001840100180

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s001840100180

Key words

AMS Subject Classification

Navigation