A-optimal Minimax Design Criterion for Two-level Fractional Factorial Designs
| dc.contributor.author | Yin, Yue | |
| dc.contributor.supervisor | Zhou, Julie | |
| 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.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Master of Science M.Sc. | en_US |
| 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.description.proquestcode | 0463 | en_US |
| dc.description.proquestemail | yinyue@uvic.ca | en_US |
| dc.description.scholarlevel | Graduate | en_US |
| dc.identifier.uri | http://hdl.handle.net/1828/4865 | |
| dc.language | English | eng |
| dc.language.iso | en | en_US |
| dc.rights.temp | Available to the World Wide Web | 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 |