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Selection of Defining Contrasts and Confounded Effects in Two‐Level Experiments

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  • M. F. Franklin
  • R. A. Bailey

Abstract

In factorial experiments the selection of defining contrasts and effects to be confounded with blocks is not always straightforward and plans presented in standard texts are not necessarily suitable. A systematic procedure for selecting suitable defining contrasts has been presented by Greenfield (1976). In this paper we show that Greenfield's algorithm does not always generate the smallest possible fraction, and give a more general procedure which is suitable for selecting defining contrasts and confounded effects.

Suggested Citation

  • M. F. Franklin & R. A. Bailey, 1977. "Selection of Defining Contrasts and Confounded Effects in Two‐Level Experiments," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 26(3), pages 321-326, November.
    • Handle: RePEc:bla:jorssc:v:26:y:1977:i:3:p:321-326
    DOI: 10.2307/2346973
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    Cited by:

    1. L. Rob Verdooren, 2020. "History of the Statistical Design of Agricultural Experiments," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 25(4), pages 457-486, December.
    2. Kobilinsky, André & Monod, Hervé & Bailey, R.A., 2017. "Automatic generation of generalised regular factorial designs," Computational Statistics & Data Analysis, Elsevier, vol. 113(C), pages 311-329.

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