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How Many Variables Should Be Entered in a Regression Equation?

Journal of the American Statistical AssociationPublished 1 March 1983
Leo Breiman, Darcy A. Freedman
Citations155
SJR quartileQ1
SJR score4.10
SNIP3.08

TL;DR

The optimal number of regressors is determined to minimize mean squared prediction error and is shown to be a small fraction of the number of data points and the Sp criterion provides an asymptotically optimal rule for theNumber of variables to enter.

Abstract

Abstract The optimal number of regressors is determined to minimize mean squared prediction error and is shown to be a small fraction of the number of data points. As the number of regressors grows large, the Sp criterion provides an asymptotically optimal rule for the number of variables to enter. Key Words: RegressionStepwise regressionBest subsets regressionPrediction error

Keywords

Mathematics