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Optimal blocking for general resolution-3 designs


  • SCHOEN, Eric D.
  • SARTONO, Bagus
  • GOOS, Peter


This paper presents a general method for finding optimal blocking arrangements of pure-level and mixed-level orthogonal designs of resolution 3. The method requires enumeration of all non-isomorphic `parent designs' that include the treatment factors as well as the future blocking factor. For all these designs, word-length frequency vectors expressing the aliasing between main effects and two-factor interactions as well as the aliasing among two-factor interactions are calculated. The same is done for all projections into `child designs' obtained by dropping any possible blocking factor. The word-length frequency vectors of the parent and child designs then allow the selection of blocking arrangements that are optimal with respect to five criteria appropriate for blocking resolution-3 orthogonal designs. We provide optimal blocking arrangements for orthogonal pure-level and mixed-level designs of 12, 16, 18, 20 and 27 runs.

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  • SCHOEN, Eric D. & SARTONO, Bagus & GOOS, Peter, 2012. "Optimal blocking for general resolution-3 designs," Working Papers 2012025, University of Antwerp, Faculty of Applied Economics.
  • Handle: RePEc:ant:wpaper:2012025

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    References listed on IDEAS

    1. 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. 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 Applied Economics.
    2. VO-THANH, Nha & GOOS, Peter & SCHOEN, Eric D., 2016. "Integer programming approaches to find row-column arrangements of two-level orthogonal experimental designs," Working Papers 2016010, University of Antwerp, Faculty of Applied Economics.

    More about this item


    Aliasing; Confounding; Generalized word-length pattern; Orthogonal array; Strength 2;

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