Abstract

Abstract We revisit an article by D. A. Freedman on screening variables for regression models. After summarizing his asymptotic results we show that the theory does not entirely explain the results of computer simulations of his model. We demonstrate that this is due to the random correlation between simulated independent random variables. Finally, we explore some consequences of the asymptotic results. In the case of uncorrelated variables using the proposed two-stage screening procedure, it is possible to obtain significance tests for the final F statistic and t statistic that have the correct Type I error rates.

Keywords

StatisticUncorrelatedMathematicsStatisticsRegressionAsymptotic analysisRegression analysisEconometrics

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Publication Info

Year
1989
Type
article
Volume
43
Issue
4
Pages
279-282
Citations
47
Access
Closed

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Cite This

Laurence S. Freedman, David Pee (1989). Return to a Note on Screening Regression Equations. The American Statistician , 43 (4) , 279-282. https://doi.org/10.1080/00031305.1989.10475675

Identifiers

DOI
10.1080/00031305.1989.10475675