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Biometrika 2005 92(2):485-491; doi:10.1093/biomet/92.2.485
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© 2005 Biometrika Trust

Miscellanea

Generalised minimum aberration construction results for symmetrical orthogonal arrays

Neil A. Butler

School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, U.K. neil.butler{at}nottingham.ac.uk

Generalised minimum aberration is a recently-established design criterion for the whole class of orthogonal arrays and fractional factorial designs. The criterion is, as its name suggests, a generalisation of minimum aberration for regular designs and of minimum G2-aberration for twolevel designs. The aim of the criterion is to find designs which minimise in a certain sense the aliasing between main effects and interactions. In this paper, theoretical results are developed for finding symmetrical orthogonal arrays with generalised minimum aberration for more than two factor levels.

Key Words: Asymmetrical array; Complementary design; Distance distribution; Fractional factorial; Nonregular design; Word-length pattern

Received April 2004. Revised September 2004.


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