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Component selection norms for principal components regression
Authors:R Carter Hill  Thomas B Fomby  S R Johnson
Institution:1. University of Georgia , Athens, Georgia;2. Southern Methodist University , Dallas, Texas
Abstract:Multicollinearity or near exact linear dependence among the vectors of regressor variables in a multiple linear regression analysis can have important effects on the quality of least squares parameter estimates. One frequently suggested approach for these problems is principal components regression. This paper investigates alternative variable selection procedures and their implications for such an analysis.
Keywords:regression analysis  multicollinearity  least squares  prediction  norms  principal components
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