期刊
BIOMETRIKA
卷 96, 期 1, 页码 83-93出版社
OXFORD UNIV PRESS
DOI: 10.1093/biomet/asn066
关键词
Alias set; Estimation capacity; Information capacity; Minimum aberration; Model robustness; Word length pattern
资金
- Ching-Shui Cheng's research
- U. S. National Science Foundation
- National Science Council of Taiwan
We propose a general and unified approach to the selection of regular fractional factorial designs, which can be applied to experiments that are unblocked, blocked or have a split-plot structure. Our criterion is derived as a good surrogate for the model-robustness criterion of information capacity. In the case of random block effects, it takes the ratio of intra- and interblock variances into account. In most of the cases we have examined, there exist designs that are optimal for all values of that ratio. Examples of optimal designs that depend on the ratio are provided. We also demonstrate that our criterion can further discriminate designs that cannot be distinguished by the existing minimum-aberration criteria.
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