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Optimal blocking for general resolution-3 designs

Author

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

Abstract

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.

Suggested Citation

  • 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.
    • Handle: RePEc:ant:wpaper:2012025
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    File URL: https://repository.uantwerpen.be/docman/irua/06f361/1dfa3349.pdf
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    Citations

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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. 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.

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