I'll start off a list of generic things to look at for judges:
1. Clean knife cuts
2. Smooth finish without fuzzies sticking up out of the varnish/laquer/shellac; this does not mean it has to be sanded.
3. Good paint work: no runs, drips, etc.
(Assuming there are different categories...:
if realistic, does it look realistic?
if a chip carving, are all the appropriate chips the same size?
if it is set in a scene, does the scene contribute to, or take away from, the carving itself?
if it is a relief, is the perspective proper; are the layers of depth appropriate?
Ok - add to these (or tell me I'm wrong, either way

)
Claude