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Model identification using 27 runs three level orthogonal arrays

Author

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  • P. Angelopoulos
  • H. Evangelaras
  • C. Koukouvinos

Abstract

In this paper we examine all the combinatorial non-isomorphic OA(27, q, 3, t), with 3≤q≤13 three level quantitative factors, with respect to model identification, estimation capacity and efficiency. We use the popular D-efficiency criterion to evaluate the ability of each design considered in estimating the parameters of a second-order model with adequate efficiency. The prior selection of the 'middle' level of factors plays an important role in the results.

Suggested Citation

  • P. Angelopoulos & H. Evangelaras & C. Koukouvinos, 2009. "Model identification using 27 runs three level orthogonal arrays," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(1), pages 33-38.
    • Handle: RePEc:taf:japsta:v:36:y:2009:i:1:p:33-38
    DOI: 10.1080/02664760802382509
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    References listed on IDEAS

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    1. 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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    Cited by:

    1. Vasilis Chasiotis & Stavros A. Chatzopoulos & Stratis Kounias & Nikos Farmakis, 2021. "On the optimality of orthogonal and balanced arrays with $$N\equiv 0$$ N ≡ 0 $$(\text {mod}$$ ( mod 9) runs," Statistical Papers, Springer, vol. 62(4), pages 1965-1980, August.
    2. A. M. Elsawah & Kai-Tai Fang & Xiao Ke, 2021. "New recommended designs for screening either qualitative or quantitative factors," Statistical Papers, Springer, vol. 62(1), pages 267-307, February.

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