Regression model

Stepwise Regression

Stepwise regression is an automated variable selection procedure for multiple linear regression that adds or removes predictor variables one at a time according to a statistical criterion, typically the F-statistic or a p-value threshold. The forward-selection algorithm was formally described by Efroymson (1960) and the bidirectional variant was popularised by Draper and Smith in their landmark 1966 text Applied Regression Analysis. Despite widespread historical use, the method is now widely critiqued, making its documentation essential in any canonical methods library.

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Sources

  1. Efroymson, M. A. (1960). Multiple regression analysis. In A. Ralston & H. S. Wilf (Eds.), Mathematical Methods for Digital Computers (pp. 191–203). Wiley. link
  2. Draper, N. R., & Smith, H. (1966). Applied Regression Analysis (1st ed.). Wiley. ISBN: 9780471221708
  3. Draper, N. R., & Smith, H. (1998). Applied Regression Analysis (3rd ed.). Wiley. ISBN: 9780471170822

Related methods

Referenced by

ScholarGateStepwise Regression (Stepwise Variable Selection in Multiple Regression). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/stepwise-regression