Title
Optimum blocking for general resolution-3 designs Optimum blocking for general resolution-3 designs
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Milwaukee, Wis. ,
Subject
Economics
Mathematics
Source (journal)
Journal of quality technology. - Milwaukee, Wis.
Volume/pages
45(2013) :2 , p. 166-187
ISSN
0022-4065
ISI
000316647400004
Carrier
E
Target language
English (eng)
Affiliation
University of Antwerp
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 nonisomorphic 'full designs' that include the treatment factors as well as the blocking factor. For all these designs, generalized word counts 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 treatment designs obtained by dropping any possible blocking factor. The generalized word counts of the full design and treatment 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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