Yes, use PROC LOGISTIC. Since LOGISTIC supports the CLASS statement you can skip the call to GLMMOD and just put the categorical variables on the CLASS statement.  Add the INFLUENCE option to the MODEL statement. If you turn on ODS graphics (ODS GRAPHICS ON) and request PLOTS=ALL, you will get many diagnostic plots. The PROC LOGISTIC doc has an example that explains the diagnostic plots. ... View more

If you want to build a predictive model than proc logistic would be suited. There are several other statistical tests for categorical data .so ultimately depends upon what you are testing for . ... View more