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dc.contributor.authorMukerjee, Rahul
dc.contributor.authorTang, Boxin
dc.descriptionMukerjee, Rahul, Indian Institute of Management Calcutta, Joka, Diamond Harbour Road, Kolkata 700 104, India; Tang, Boxin, Department of Statistics and Actuarial Science, Simon Fraser University, Burnaby, BC V5A 1S6, Canada
dc.descriptionISSN/ISBN - 00905364
dc.descriptionDOI - 10.1214/13-AOS1160
dc.description.abstractQuaternary code (QC) designs form an attractive class of nonregular factorial fractions. We develop a complementary set theory for characterizing optimal QC designs that are highly fractionated in the sense of accommodating a large number of factors. This is in contrast to existing theoretical results which work only for a relatively small number of factors. While the use of imaginary numbers to represent the Gray map associated with QC designs facilitates the derivation, establishing a link with foldovers of regular fractions helps in presenting our results in a neat form. � Institute of Mathematical Statistics, 2013.
dc.publisherAnnals of Statistics
dc.subjectGray map
dc.subjectHighly fractionated design
dc.subjectMinimum aberration
dc.subjectMinimum moment aberration
dc.titleA complementary set theory for quaternary code designs
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