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October 2002 Optimal fractional factorial plans for main effects and specified two-factor interactions: a projective geometric approach
Aloke Dey, Chung-Yi Suen
Ann. Statist. 30(5): 1512-1523 (October 2002). DOI: 10.1214/aos/1035844986

Abstract

Finite projective geometry is used to obtain fractional factorial plans for m-level symmetrical factorial experiments, where m is a prime or a prime power. Under a model that includes the mean, all main effects and a specified set of two-factor interactions, the plans are shown to be universally optimal within the class of all plans involving the same number of runs.

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Aloke Dey. Chung-Yi Suen. "Optimal fractional factorial plans for main effects and specified two-factor interactions: a projective geometric approach." Ann. Statist. 30 (5) 1512 - 1523, October 2002. https://doi.org/10.1214/aos/1035844986

Information

Published: October 2002
First available in Project Euclid: 28 October 2002

zbMATH: 1016.62089
MathSciNet: MR1936329
Digital Object Identifier: 10.1214/aos/1035844986

Subjects:
Primary: 62K15

Keywords: finite projective geometry , Galois field , saturated plans , universal optimality

Rights: Copyright © 2002 Institute of Mathematical Statistics

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Vol.30 • No. 5 • October 2002
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