A GEOMETRIC APPROACH TO COMPARE VARIABLES IN A REGRESSION-MODEL

Authors
Citation
J. Bring, A GEOMETRIC APPROACH TO COMPARE VARIABLES IN A REGRESSION-MODEL, The American statistician, 50(1), 1996, pp. 57-62
Citations number
23
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
ISSN journal
00031305
Volume
50
Issue
1
Year of publication
1996
Pages
57 - 62
Database
ISI
SICI code
0003-1305(1996)50:1<57:AGATCV>2.0.ZU;2-X
Abstract
Geometry is a very useful tool for illustrating regression analysis. D espite its merits the geometric approach is seldom used. One reason fo r this might be that there are very few applications at an elementary level. This article gives a brief introduction to the geometric approa ch in regression analysis, and then geometry is used to shed some ligh t on the problem of comparing the ''importance'' of the independent va riables in a multiple regression model. Even though no final answer of how to assess variable importance is given, it is still useful to ill ustrate the different measures geometrically to gain a better understa nding of their properties.