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Generalised minimum aberration construction results for symmetrical orthogonal arrays

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  • Neil A. Butler

Abstract

Generalised minimum aberration is a recently-established design criterion for the whole class of orthogonal arrays and fractional factorial designs. The criterion is, as its name suggests, a generalisation of minimum aberration for regular designs and of minimum G-sub-2-aberration for twolevel designs. The aim of the criterion is to find designs which minimise in a certain sense the aliasing between main effects and interactions. In this paper, theoretical results are developed for finding symmetrical orthogonal arrays with generalised minimum aberration for more than two factor levels. Copyright 2005, Oxford University Press.

Suggested Citation

  • Neil A. Butler, 2005. "Generalised minimum aberration construction results for symmetrical orthogonal arrays," Biometrika, Biometrika Trust, vol. 92(2), pages 485-491, June.
  • Handle: RePEc:oup:biomet:v:92:y:2005:i:2:p:485-491
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    File URL: http://hdl.handle.net/10.1093/biomet/92.2.485
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    Cited by:

    1. Bochuan Jiang & Yaping Wang & Mingyao Ai, 2022. "Search for minimum aberration designs with uniformity," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 74(2), pages 271-287, April.
    2. Yong-Dao Zhou & Hongquan Xu, 2014. "Space-Filling Fractional Factorial Designs," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 109(507), pages 1134-1144, September.

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