Minimum aberration construction results for nonregular two-level fractional factorial designs

Neil A. Butler

Biometrika, 2003, vol. 90, issue 4, 891-898

Abstract: Nonregular two-level fractional factorial designs are designs which cannot be specified in terms of a set of defining contrasts. The aliasing properties of nonregular designs can be compared by using a generalisation of the minimum aberration criterion called minimum G-sub-2-aberration. Until now, the only nontrivial designs that are known to have minimum G-sub-2-aberration are designs for n runs and m >= n - 5 factors. In this paper, a number of construction results are presented which allow minimum G-sub-2-aberration designs to be found for many of the cases with n = 16, 24, 32, 48, 64 and 96 runs and m >= n/2 - 2 factors. Copyright Biometrika Trust 2003, Oxford University Press.

Date: 2003
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