Robust designs for the one-way random effects model using Q-estimators
| dc.contributor.author | Yang, Xiaolong | |
| dc.contributor.supervisor | Zhou, Julie | |
| dc.date.accessioned | 2009-12-04T20:28:36Z | |
| dc.date.available | 2009-12-04T20:28:36Z | |
| dc.date.copyright | 2006 | en |
| dc.date.issued | 2009-12-04T20:28:36Z | |
| dc.degree.department | Department of Mathematics and Statistics | |
| dc.degree.level | Master of Science M.Sc. | en |
| dc.description.abstract | Robust statistics is an extension of classical parametric statistics, which provides a safeguard against gross errors in experiments. Effectively, robustness properties of Uhlig's Q-estimators are examined and compared with that. of Rocke's Ai-estimators. In particular, the finite-sample implosion and explosion breakdown points are inves-tigated and introduced into constructing robust designs for the one-way random effects model. Optimal robust designs based on Uhlig's Q-estimation are similar to the ones based on Rocke's M-estimation. Ultimately. robust estimation procedures would provide steady and reliable estimates of model parameters in case of the occurrence of outliers. | en |
| dc.identifier.uri | http://hdl.handle.net/1828/1945 | |
| dc.language | English | eng |
| dc.language.iso | en | en |
| dc.rights | Available to the World Wide Web | en |
| dc.subject | robust statistics | en |
| dc.subject.lcsh | UVic Subject Index::Sciences and Engineering::Mathematics::Mathematical statistics | en |
| dc.title | Robust designs for the one-way random effects model using Q-estimators | en |
| dc.type | Thesis | en |