Skip to main content
Log in

An interchange algorithm for four factor orthogonal main effect plans

  • Published:
Statistics and Computing Aims and scope Submit manuscript

Abstract

In this paper we give a construction for four factor orthogonal main effect plans (OMEPs) and an interchange algorithm to give four factor OMEPs with various different numbers of repeated runs.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Similar content being viewed by others

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Addelman, S. (1961) Irregular fractions of the 2n factorial ex-periments. Technometrics, 3, 479–96.

    Google Scholar 

  • Addelman, S. (1962) Orthogonal main-effect plans for asymmet-rical factorial experiments. Technometrics, 4, 21–46.

    Google Scholar 

  • Burgess, L. (1997) Orthogonal main effect plans and an extension to resolution V. PhD thesis submitted to University of New South Wales.

  • Burgess, L., Kreher, D. L. and Street, D. J. (1997) Small or-thogonal main effect plans with four factors. School of Mathematical Sciences, University of Technology, Sydney. Research Report, 97–1.

    Google Scholar 

  • Burgess, L. and Street, D. J. (1994) Algorithms for constructing orthogonal main effect plans. Utilitas Mathematica, 46, 33–48.

    Google Scholar 

  • Dey, A. (1985) Orthogonal Fractional Factorial Designs, New Delhi: Wiley Eastern Limited.

    Google Scholar 

  • Gallant, R. P. and Colbourn, C. J. (1998) Tight 4-factor or-thogonal main effect plans. Discrete Mathematics, 184, 101–10.

    Google Scholar 

  • Jacroux, M. (1992) A note on the determination of minimal or-thogonal main effect plans. Technometrics, 34, 92–96.

    Google Scholar 

  • Pigeon, J. G. and McAllister, P. R. (1989) A note on partially replicated orthogonal main-effect plans. Technometrics, 31, 249–51.

    Google Scholar 

  • Plackett, R. L. (1946) Some generalizations in the multifactorial design. Biometrika, 33, 328–32.

    Google Scholar 

  • Street, D. J. (1994) Constructions for orthogonal main effect plans. Utilitas Mathematica, 45, 115–23.

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Burgess, L., Street, D.J. An interchange algorithm for four factor orthogonal main effect plans. Statistics and Computing 9, 171–177 (1999). https://doi.org/10.1023/A:1008909728147

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1008909728147

Navigation