Return to a note on screening regression equations

Laurence S. Freedman, David Pee

Research output: Contribution to journalArticlepeer-review

49 Scopus citations


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.

Original languageEnglish
Pages (from-to)279-282
Number of pages4
JournalAmerican Statistician
Issue number4
StatePublished - Nov 1989
Externally publishedYes


  • F statistic
  • Multiple correlation coefficient
  • Significance levels
  • Variable selection


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