Print Email Facebook Twitter Optimal blocking for general resolution-3 designs Title Optimal blocking for general resolution-3 designs Author Schoen, E.D. Sartono, B. Goos, P. Publication year 2013 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. Subject LifeQS - Quality & SafetyEELS - Earth, Environmental and Life SciencesBiomedical InnovationBiologyHealthy LivingAliasingConfoundingGeneralized Word-Length PatternOrthogonal ArrayStrength 2AliasingConfoundingOrthogonal ArrayStrength 2Word lengthOptimizationDesign To reference this document use: http://resolver.tudelft.nl/uuid:ec918af7-7804-4d6a-8292-f105ba12f502 TNO identifier 474202 ISSN 0022-4065 Source Journal of Quality Technology, 45 (2), 166-187 Document type article Files To receive the publication files, please send an e-mail request to TNO Library.