Optimal blocking for general resolution-3 designs
AbstractThis 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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Bibliographic InfoPaper provided by University of Antwerp, Faculty of Applied Economics in its series Working Papers with number 2012025.
Length: 34 pages
Date of creation: Nov 2012
Date of revision:
Aliasing; Confounding; Generalized word-length pattern; Orthogonal array; Strength 2;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-11-24 (All new papers)
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