MINIMUM ABERRATION DESIGNS FOR MIXED FACTORIALS IN TERMS OF COMPLEMENTARY SETS

Rahul Mukerjee · Changbao Wu

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Optimal Experimental Design Methods Advanced Combinatorial Mathematics Coding theory and cryptography

Abstract

Minimum aberration designs are obtained for two types of mixed-level fractional factorial: (i) (s r ) × s n factorial, and (ii) (s r 1 ) × (s r 2 ) × s n factorial, where s is any prime or prime power, and r, r1,r2 and n are positive integers. Projective geometric tools are employed to find the wordlength pattern of a given design in terms of that of its complementary set. Many useful designs are found and tabulated.

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References

1993A Catalogue of Two-Level and Three-Level Fractional Factorial Designs with Small Runs 1996Characterization of minimum aberration $2\sp {n-k}$ designs in terms of their complementary designs 1997Some identities on $q\sp {n-m}$ designs with application to minimum aberration designs 1998Regular fractional factorial designs with minimum aberration and maximum estimation capacity 1993Minimum Aberration Designs with Two-Level and Four-Level Factors 1999Blocking in regular fractional factorials: a projective geometric approach

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