[Limdep Nlogit List] Model selection Criteria

[Santa Dutta]

Sir,

We generally do model selection based on the log-likelihood ratio and
chi-square values of different models and their degrees of freedom.
But in case of models with same number of estimated parameters, this cannot
be done.
So, Can we just use the log-likelihood values and the rho-square values of
two models and compare them and comment on which model is the better one
instead of doing through some other complex tests like vuong test.
Or is their any other method of best model identification for models with
same number of estimated parameters?

Regards,

S.S.Dutta