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
Life
QS - Quality & Safety
EELS - Earth, Environmental and Life Sciences
Biomedical Innovation
Biology
Healthy Living
Aliasing
Confounding
Generalized Word-Length Pattern
Orthogonal Array
Strength 2
Aliasing
Confounding
Orthogonal Array
Strength 2
Word length
Optimization
Design
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