Yang, Xiaolong2009-12-042009-12-0420062009-12-04http://hdl.handle.net/1828/1945Robust 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.enAvailable to the World Wide Webrobust statisticsUVic Subject Index::Sciences and Engineering::Mathematics::Mathematical statisticsThesis