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Two-level designs of strength 3 and up to 48 runs

Listed author(s):
  • SCHOEN, Eric D.
  • MEE, Robert W.
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    This article will help practitioners select strength-3 designs that are useful for screening both main effects and two-factor interactions. We calculated word-length patterns, correlations of four-factor interaction contrast vectors with the intercept, and ranks of the two-factor interaction matrices for all nonequivalent two-level orthogonal arrays of strength 3 and run sizes up to 48. Based on these characteristics, there are a limited number of designs that can be recommended for practical use.

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    Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2012005.

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    Length: 22 pages
    Date of creation: Feb 2012
    Handle: RePEc:ant:wpaper:2012005
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    Prinsstraat 13, B-2000 Antwerpen

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    1. Lin, Dennis K. J. & Draper, Norman R., 1993. "Generating alias relationships for two-level Plackett and Burman designs," Computational Statistics & Data Analysis, Elsevier, vol. 15(2), pages 147-157, February.
    2. Hongquan Xu, 2005. "A catalogue of three-level regular fractional factorial designs," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 62(2), pages 259-281, November.
    3. Butler, Neil A., 2004. "Minimum G2-aberration properties of two-level foldover designs," Statistics & Probability Letters, Elsevier, vol. 67(2), pages 121-132, April.
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