With regard to information criteria here is what SAS says:

"Note that information criteria such as Akaike's (AIC), Schwarz's (SC, BIC), and QIC can be used to compare competing nonnested models, but do not provide a test of the comparison. Consequently, they cannot indicate whether one model is significantly better than another. The GENMOD, LOGISTIC, GLIMMIX, MIXED, and other procedures provide information criteria measures"

There are two comparative model testing procedure: a) Vuong test and b) non-parametric Clarke test. See the paper for details.

With regard to information criteria, here is what SAS says:

"Note that information criteria such as Akaike's (AIC), Schwarz's (SC, BIC), and QIC can be used to compare competing nonnested models, but do not provide a test of the comparison. Consequently, they cannot indicate whether one model is significantly better than another. The GENMOD, LOGISTIC, GLIMMIX, MIXED, and other procedures provide information criteria measures."

There are two comparative model testing procedure: a) Vuong test and b) non-parametric Clarke test. See this paper for details.