Minimax design criterion for fractional factorial designs

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dc.contributor.authorYin, Yue
dc.contributor.authorZhou, Julie
dc.date.accessioned2016-06-28T19:49:09Z
dc.date.available2016-06-28T19:49:09Z
dc.date.copyright2014en_US
dc.date.issued2015-08
dc.description.abstractAn A-optimal minimax design criterion is proposed to construct fractional factorial designs, which extends the study of the D-optimal minimax design criterion in Lin and Zhou (2013). The resulting A-optimal and D-optimal minimax designs minimize, respectively, the maximum trace and determinant of the mean squared error matrix of the least squares estimator (LSE) of the effects in the linear model. When there is a misspecification of the effects in the model, the LSE is biased and the minimax designs have some control over the bias. Various design properties are investigated for two-level and mixed-level fractional factorial designs. In addition, the relationships among A-optimal, D-optimal, E-optimal, A-optimal minimax and D-optimal minimax designs are explored.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research work is supported by Discovery Grants from the Natural Science and Engineering Research Council of Canada.en_US
dc.identifier.citationYin, Y., & Zhou, J. (2015). Minimax design criterion for fractional factorial designs. Annals of the Institute of Statistical Mathematics, 67(4), 673-685.en_US
dc.identifier.urihttp://dx.doi.org/10.1007/s10463-014-0470-0
dc.identifier.urihttp://hdl.handle.net/1828/7376
dc.language.isoenen_US
dc.publisherAnnals of the Institute of Statistical Mathematicsen_US
dc.subjectA-optimal design
dc.subjectD-optimal design
dc.subjectfactorial design
dc.subjectmodel misspecification
dc.subjectrequirement set
dc.subjectrobust design
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleMinimax design criterion for fractional factorial designsen_US
dc.typePostprinten_US

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