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PROC SCADLS and the SCAD Penalty for Variable Selection PDF Print Email
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Variable selection is a classic and still very important problem in applied statistics. Methodology Center researcher Dr. Runze Li and his collaborators have been studying penalized-likelihood approaches to automatic variable selection for predictive modeling when the number of potential predictors is very large. This involves adjusting the likelihood function using a penalty which rewards parsimony. One such penalty function, which has some favorable theoretical properties, is the Smoothly Clipped Absolute Deviation (SCAD) penalty (see Fan & Li 2001).

The Methodology Center has recently released a SAS procedure, PROC SCADLS, which does linear regression using penalized least squares with the SCAD penalty. This approach automatically selects and estimates a model at the same time. In 2008 we hope to release PROC SCADGLIM, which will allow SCAD-penalized generalized linear models.

Fan, J., & Li, R. (2001). Variable selection via nonconcave penalized likelihood and its oracle properties. Journal of the American Statistical Association, 96(456), 1348-1360. (For a reprint, please email This email address is being protected from spam bots, you need Javascript enabled to view it .)