Title Optimal blocking for general resolution-3 designsOptimal blocking for general resolution-3 designs Author Schoen, Eric D. Sartono, Bagus Goos, Peter Faculty/Department Faculty of Applied Economics Research group Engineering Management Publication type report Publication Antwerp :University of Antwerp, 2012[*]2012 Subject Economics Source (series) Research paper / UA, Faculty of Applied Economics ; 2012:025 Volume/pages 32 p. 1 Carrier E Target language English (eng) Affiliation University of Antwerp 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 eects 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. Full text (open access) https://repository.uantwerpen.be/docman/irua/06f361/1dfa3349.pdf Handle