A small-sample correction for the Schwarz SIC model selection criterion

The relationship between AIC and AICc is used to derive the small-sample correction, SICc, for Schwarz's SIC model selection criterion. Small-sample properties of SIC and SICc are discussed. Small-sample and large-scale simulation studies including nonnormal errors are presented as well. Consistent criteria are useful when there is a large number of extraneous variables in a study. Consistent criteria are less affected by the increased opportunity for overfitting.