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

Author

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

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.

Suggested Citation

  • SCHOEN, Eric D. & MEE, Robert W., 2012. "Two-level designs of strength 3 and up to 48 runs," Working Papers 2012005, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2012005
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    File URL: https://repository.uantwerpen.be/docman/irua/43d053/bb1e9f78.pdf
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    References listed on IDEAS

    as
    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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    Cited by:

    1. Nha Vo-Thanh & Peter Goos & Eric D. Schoen, 2020. "Integer programming approaches to find row–column arrangements of two-level orthogonal experimental designs," IISE Transactions, Taylor & Francis Journals, vol. 52(7), pages 780-796, July.
    2. VÁZQUEZ-ALCOCER, Alan & SCHOEN, Eric D. & GOOS, Peter, 2018. "A mixed integer optimization approach for model selection in screening experiments," Working Papers 2018007, University of Antwerp, Faculty of Business and Economics.
    3. SARTONO, Bagus & GOOS, Peter & SCHOEN, Eric D., 2012. "Orthogonal blocking of regular and non-regular strength-3 designs," Working Papers 2012026, University of Antwerp, Faculty of Business and Economics.
    4. EENDEBAK, Pieter T. & SCHOEN, Eric D., 2015. "Two-level designs to estimate all main effects and two-factor interactions," Working Papers 2015019, University of Antwerp, Faculty of Business and Economics.
    5. VÁZQUEZ-ALCOCER, Alan & GOOS, Peter & SCHOEN, Eric D., 2016. "Two-level designs constructed by concatenating orthogonal arrays of strenght three," Working Papers 2016011, University of Antwerp, Faculty of Business and Economics.
    6. SCHOEN, Eric D. & VO-THANH, Nha & GOOS, Peter, 2015. "Two-level orthogonal designs in 24 and 28 runs," Working Papers 2015016, University of Antwerp, Faculty of Business and Economics.

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