A REGRESSION ESTIMATION METHOD FOR COLLINEAR PREDICTORS
- 1 October 1975
- journal article
- Published by Wiley in Decision Sciences
- Vol. 6 (4) , 670-687
- https://doi.org/10.1111/j.1540-5915.1975.tb01052.x
Abstract
This paper addresses the important and pervasive condition of multicollinear predictors in regression analysis. The paper discusses the rudiments of a recently proposed “improved estimation” procedure (ridge regression analysis) to be used when the predictors are not orthogonal and compares the empirical performance of the ridge technique in estimating some known coefficients with the traditional estimation methods of least squares and stepwise regression.Keywords
This publication has 9 references indexed in Scilit:
- Generalizations of Mean Square Error Applied to Ridge RegressionJournal of the Royal Statistical Society Series B: Statistical Methodology, 1974
- On the Mean Square Error of Parameter Estimates for Some Biased EstimatorsTechnometrics, 1974
- Ridge Regression: Applications to Nonorthogonal ProblemsTechnometrics, 1970
- Ridge Regression: Applications to Nonorthogonal ProblemsTechnometrics, 1970
- Ridge Regression: Biased Estimation for Nonorthogonal ProblemsTechnometrics, 1970
- Ridge Regression: Biased Estimation for Nonorthogonal ProblemsTechnometrics, 1970
- Multicollinearity in Regression Analysis: The Problem RevisitedThe Review of Economics and Statistics, 1967
- Principal Components Regression in Exploratory Statistical ResearchJournal of the American Statistical Association, 1965
- Principal Components Regression in Exploratory Statistical ResearchJournal of the American Statistical Association, 1965