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Enumeration and classification of orthogonal arrays

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  • SCHOEN, Eric D.
  • NGUYEN, Man V.M.

Abstract

We specify an algorithm to enumerate a minimum complete set of combinatorially non-isomorphic orthogonal arrays of given strength, run-size, and numbers of factor levels. We consider the classification of arrays according to several criteria of practical interest, differentiated according to the strength of the arrays. We exemplify classification using several series of mixed arrays, and we propose to discard arrays that are inadmissible according to the criteria.

Suggested Citation

  • SCHOEN, Eric D. & NGUYEN, Man V.M., 2007. "Enumeration and classification of orthogonal arrays," Working Papers 2007021, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2007021
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    File URL: https://repository.uantwerpen.be/docman/irua/ac7bd4/bdd541b0.pdf
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    References listed on IDEAS

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    1. C.-S. Cheng & D. M. Steinberg & D. X. Sun, 1999. "Minimum aberration and model robustness for two-level fractional factorial designs," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 61(1), pages 85-93.
    2. H. Evangelaras & C. Koukouvinos & A. M. Dean & C. A. Dingus, 2005. "Projection properties of certain three level orthogonal arrays," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 62(2), pages 241-257, November.
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    Keywords

    Experimental design; Non-isomorphic designs; Estimation capacity; Minimum forbidden subconfiguration; Mixed array;

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