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Optimal blocking for general resolution-3 designs

Listed author(s):
  • 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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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
Handle: RePEc:ant:wpaper:2012025
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