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Optimal blocking for general resolution-3 designs

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

    This paper presents a general method for nding 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 e ects 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 ve 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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    File URL: https://www.uantwerpen.be/images/uantwerpen/container1244/files/TEW%20-%20Onderzoek/Working%20Papers/RPS/2012/RPS-2012-025.pdf
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    Bibliographic Info

    Paper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2012025.

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    Length: 34 pages
    Date of creation: Nov 2012
    Date of revision:
    Handle: RePEc:ant:wpaper:2012025

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    Web page: https://www.uantwerp.be/en/faculties/applied-economic-sciences/
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    Related research

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

    This paper has been announced in the following NEP Reports:

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