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February 2008 A complementary design theory for doubling
Hongquan Xu, Ching-Shui Cheng
Ann. Statist. 36(1): 445-457 (February 2008). DOI: 10.1214/009005360700000712

Abstract

Chen and Cheng [Ann. Statist. 34 (2006) 546–558] discussed the method of doubling for constructing two-level fractional factorial designs. They showed that for 9N/32≤n≤5N/16, all minimum aberration designs with N runs and n factors are projections of the maximal design with 5N/16 factors which is constructed by repeatedly doubling the 25−1 design defined by I=ABCDE. This paper develops a general complementary design theory for doubling. For any design obtained by repeated doubling, general identities are established to link the wordlength patterns of each pair of complementary projection designs. A rule is developed for choosing minimum aberration projection designs from the maximal design with 5N/16 factors. It is further shown that for 17N/64≤n≤5N/16, all minimum aberration designs with N runs and n factors are projections of the maximal design with N runs and 5N/16 factors.

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Hongquan Xu. Ching-Shui Cheng. "A complementary design theory for doubling." Ann. Statist. 36 (1) 445 - 457, February 2008. https://doi.org/10.1214/009005360700000712

Information

Published: February 2008
First available in Project Euclid: 1 February 2008

zbMATH: 1132.62059
MathSciNet: MR2387979
Digital Object Identifier: 10.1214/009005360700000712

Subjects:
Primary: 62K15

Keywords: Maximal design , minimum aberration , Pless power moment identity , wordlength pattern

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.36 • No. 1 • February 2008
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