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

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  • SCHOEN, Eric D.
  • MEE, Robert W.
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    Abstract

    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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    File URL: https://www.uantwerpen.be/images/uantwerpen/container1244/files/TEW%20-%20Onderzoek/Working%20Papers/RPS/2012/RPS-2012-005.pdf
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    Bibliographic Info

    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
    Date of revision:
    Handle: RePEc:ant:wpaper:2012005

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    Postal: Prinsstraat 13, B-2000 Antwerpen
    Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/
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    Related research

    Keywords: Orthogonal array; Resolution IV; Nonregular designs;

    This paper has been announced in the following NEP Reports:

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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, 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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