Journal
ANNALS OF STATISTICS
Volume 40, Issue 2, Pages 891-907Publisher
INST MATHEMATICAL STATISTICS
DOI: 10.1214/12-AOS987
Keywords
Discrepancy; generalized minimum aberration; generalized word-length pattern; geometrical isomorphism; uniform minimum aberration design
Categories
Funding
- NNSF of China [10801104]
- China Scholarship Council
- NSF [DMS-08-06137, 11-06854]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1106854] Funding Source: National Science Foundation
Ask authors/readers for more resources
The minimum aberration criterion has been frequently used in the selection of fractional factorial designs with nominal factors. For designs with quantitative factors, however, level permutation of factors could alter their geometrical structures and statistical properties. In this paper uniformity is used to further distinguish fractional factorial designs, besides the minimum aberration criterion. We show that minimum aberration designs have low discrepancies on average. An efficient method for constructing uniform minimum aberration designs is proposed and optimal designs with 27 and 81 runs are obtained for practical use. These designs have good uniformity and are effective for studying quantitative factors.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available