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Orthogonal blocking arrangements for 24-run and 28-run two-level designs

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  • SCHOEN, Eric D.
  • VO-THANH, Nha
  • GOOS, Peter

Abstract

Much research has been done recently concerning 24-run two-level designs involving 3–23 factors and 28-run two-level designs involving 3–27 factors. The focus of this research was on completely randomized screening designs, and led to lists of recommended designs for each number of factors. For the recommended designs, the aliasing between main effects and two-factor interaction effects is either nonexisting or very limited, and, subject to this, the aliasing among two-factor interaction effects is minimized. It is, however, unclear which 24-run and 28-run designs are best when complete randomization is infeasible and the designs have to be arranged in blocks. In this paper, we address this issue and present the best arrangements of 24-run designs in 3, 4 or 6 blocks, and the best arrangements of 28-run designs in 7 blocks.

Suggested Citation

  • SCHOEN, Eric D. & VO-THANH, Nha & GOOS, Peter, 2016. "Orthogonal blocking arrangements for 24-run and 28-run two-level designs," Working Papers 2016002, University of Antwerp, Faculty of Business and Economics.
    • Handle: RePEc:ant:wpaper:2016002
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    File URL: https://repository.uantwerpen.be/docman/irua/e9fc12/131869.pdf
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    References listed on IDEAS

    as
    1. P. Angelopoulos & H. Evangelaras & C. Koukouvinos & E. Lappas, 2007. "An effective step-down algorithm for the construction and the identification of nonisomorphic orthogonal arrays," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 66(2), pages 139-149, September.
    2. SCHOEN, Eric D. & SARTONO, Bagus & GOOS, Peter, 2012. "Optimal blocking for general resolution-3 designs," Working Papers 2012025, University of Antwerp, Faculty of Business and Economics.
    3. 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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