Optimal blocking for general resolution-3 designs

Eric D. Schoen, Bagus Sartono and Peter Goos ()

Working Papers from University of Antwerp, Faculty of Business and Economics

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.

Keywords: Aliasing; Confounding; Generalized word-length pattern; Orthogonal array; Strength 2 (search for similar items in EconPapers)
Pages: 34 pages
Date: 2012-11
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:ant:wpaper:2012025

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