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- Title
Minimum aberration and model robustness for two-level fractional factorial designs.
- Authors
Cheng, C.-S.; Steinberg, D. M.; Sun, D. X.
- Abstract
The performance of minimum aberration two-level fractional factorial designs is studied under two criteria of model robustness. Simple sufficient conditions for a design to dominate another design with respect to each of these two criteria are derived. It is also shown that a minimum aberration design of resolution III or higher maximizes the number of two-factor interactions which are not aliases of main effects and, subject to that condition, minimizes the sum of squares of the sizes of alias sets of two-factor interactions. This roughly says that minimum aberration designs tend to make the sizes of the alias sets very uniform. It follows that minimum aberration is a good surrogate for the two criteria of model robustness that are studied here. Examples are given to show that minimum aberration designs are indeed highly efficient.
- Subjects
FACTORIALS; ROBUST control
- Publication
Journal of the Royal Statistical Society: Series B (Statistical Methodology), 1999, Vol 61, Issue 1, p85
- ISSN
1369-7412
- Publication type
Article
- DOI
10.1111/1467-9868.00164