We present a new program, gvselect, that helps users perform variable selection in regression. Best subsets variable selection is performed and provides the user with the best combinations of predictors for each level of model complexity. The leaps-and-bounds (Furnival and Wilson, 1974, Technometrics 16: 499–511) algorithm is applied using the log likelihoods of candidate models. This allows the user to perform variable selection on a wide variety of normal and non-normal regression models. Our method is described in Lawless and Singhal (1978, Biometrics 34: 318–327).
AgrestiA.2013. Categorical Data Analysis. 3rd ed. Hoboken, NJ: Wiley.
2.
AkaikeH.1974. A new look at the statistical model identification. IEEE Transactions on Automatic Control19: 716–723.
3.
Australian Burea of Statistics. 1978. Australian Health Survey 1977–78. Canberra, Australia: Australian Bureau of Statistics.
4.
CameronA. C., and TrivediP. K.1986. Econometric models based on count data: Comparisons and applications of some estimators and tests. Journal of Applied Econometrics1: 29–53.
5.
CookR. D., and WeisbergS.1997. Graphics for assessing the adequacy of regression models. Journal of the American Statistical Association92: 490–499.
6.
EfronB., HastieT., JohnstoneI., and TibshiraniR.2004. Least angle regression. Annals of Statistics32: 407–499.
7.
FurnivalG. M., and WilsonR. W.1974. Regressions by leaps and bounds. Technometrics16: 499–511.
8.
HastieT., TibshiraniR., and FriedmanJ.2009. The Elements of Statistical Learning: Data Mining, Inference, and Prediction. 2nd ed. New York: Springer.