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December 1996 $2\sp {n-l}$ designs with weak minimum aberration
Hegang Chen, A. S. Hedayat
Ann. Statist. 24(6): 2536-2548 (December 1996). DOI: 10.1214/aos/1032181167


Since not all $2^{n-1}$ fractional factorial designs with maximum resolution are equally good, Fries and Hunter introduced the minimum aberration criterion for selecting good $2^{n-1}$ fractional factorial designs with the same resolution. We modify the concept of minimum aberration and define weak minimum aberration and show the usefulness of this new design concept. Using some techniques from finite geometry, we construct $2^{n-1}$ fractional factorial designs of resolution III with weak minimum aberration. Further, several families of $2^{n-1}$ fractional factorial designs of resolution III and IV with minimum aberration are obtained.


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Hegang Chen. A. S. Hedayat. "$2\sp {n-l}$ designs with weak minimum aberration." Ann. Statist. 24 (6) 2536 - 2548, December 1996.


Published: December 1996
First available in Project Euclid: 16 September 2002

zbMATH: 0867.62066
MathSciNet: MR1425966
Digital Object Identifier: 10.1214/aos/1032181167

Primary: 62K15
Secondary: 62K05

Keywords: Fractional factorial design , minimum aberration design , regular fraction , resolution , wordlength pattern

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 6 • December 1996
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