A-optimal Minimax Design Criterion for Two-level Fractional Factorial Designs

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dc.contributor.author Yin, Yue
dc.date.accessioned 2013-08-29T22:26:45Z
dc.date.available 2013-08-29T22:26:45Z
dc.date.copyright 2013 en_US
dc.date.issued 2013-08-29
dc.identifier.uri http://hdl.handle.net/1828/4865
dc.description.abstract In this thesis we introduce and study an A-optimal minimax design criterion for two-level fractional factorial designs, which can be used to estimate a linear model with main effects and some interactions. The resulting designs are called A-optimal minimax designs, and they are robust against the misspecification of the terms in the linear model. They are also efficient, and often they are the same as A-optimal and D-optimal designs. Various theoretical results about A-optimal minimax designs are derived. A couple of search algorithms including a simulated annealing algorithm are discussed to search for optimal designs, and many interesting examples are presented in the thesis. en_US
dc.language English eng
dc.language.iso en en_US
dc.subject Optimal design en_US
dc.subject Requirement set en_US
dc.subject Model misspecification en_US
dc.subject Annealing algorithm en_US
dc.subject Robust design en_US
dc.title A-optimal Minimax Design Criterion for Two-level Fractional Factorial Designs en_US
dc.type Thesis en_US
dc.contributor.supervisor Zhou, Julie
dc.degree.department Dept. of Mathematics and Statistics en_US
dc.degree.level Master of Science M.Sc. en_US
dc.rights.temp Available to the World Wide Web en_US
dc.description.scholarlevel Graduate en_US
dc.description.proquestcode 0463 en_US

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