The Annals of Statistics
- Ann. Statist.
- Volume 37, Number 6A (2009), 3600-3615.
Some results on 2n−m designs of resolution IV with (weak) minimum aberration
It is known that all resolution IV regular 2n−m designs of run size N=2n−m where 5N/16<n<N/2 must be projections of the maximal even design with N/2 factors and, therefore, are even designs. This paper derives a general and explicit relationship between the wordlength pattern of any even 2n−m design and that of its complement in the maximal even design. Using these identities, we identify some (weak) minimum aberration 2n−m designs of resolution IV and the structures of their complementary designs. Based on these results, several families of minimum aberration 2n−m designs of resolution IV are constructed.
Ann. Statist., Volume 37, Number 6A (2009), 3600-3615.
First available in Project Euclid: 17 August 2009
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Primary: 62K15: Factorial designs
Chen, Hegang H.; Cheng, Ching-Shui. Some results on 2 n − m designs of resolution IV with (weak) minimum aberration. Ann. Statist. 37 (2009), no. 6A, 3600--3615. doi:10.1214/08-AOS670. https://projecteuclid.org/euclid.aos/1250515398