Choosing a statistical Model: A number of problems arise in determining whether the work is truly rigorous or not.
It is important to determine whether the model chosen makes theoretical and intuitive sense.
Think about the model chosen. Review whether the author has discussed his choice of model and choice of specific variables (both those in the model and those excluded). The statistical tests can assist you to determine whether you are convinced that the model is at least close to representing a realistic structure.
You should also be looking at whether the author identifies the theoretical basis for any conclusions about what the appropriate sign and magnitude of specific coefficients should be. Not only should they specify them from theory, they should review their results to confirm their hypotheses.