| Topic： |
Visualization of Evidence in Regression Via the QR Decomposition |
| Speaker： |
Prof. W. John Braun (Professor and Head, Computer Science, Mathematics, Physics and Statistics Irving K. Barber School of Arts and Sciences University of British Columbia – Okanagan, CANADA) |
| Time： |
2015/4/27 (Mon.) PM 2:20 - 3:10 (Tea Time: PM 3:10 - 3:30, Room 821) |
| Place： |
GENⅢ 834 |
| Abstract： |
Graphical ANOVA is a simple and effective tool for visualizing evidence of differences between treatment means for data coming from factorial experiments. The purpose of the present article is to propose an analogous method for the visualization of the significance of regression, using the QR decomposition. Two graphical tests are proposed and compared with the classical F-test, by simulation. It is found that when the number of candidate predictors is small relative to the sample size, the classical test has slightly higher power than the graphical tests. When the number of predictors is large, the graphical tests remain powerful while the classical F-test exhibits poor power properties. |
