  We consider how well current theories can predict neutrino mass and mixing
parameters, and construct a statistical discriminator which allows us to
compare different models to each other. As an example we consider see-saw
models based on family symmetry, and single right-handed neutrino dominance,
and compare them to each other and to the case of neutrino anarchy with random
entries in the neutrino Yukawa and Majorana mass matrices. The predictions
depend crucially on the range of the undetermined coefficients over which we
scan, and we speculate on how future theories might lead to more precise
predictions for the coefficients and hence for neutrino observables. Our
results indicate how accurately neutrino masses and mixing angles need to be
measured by future experiments in order to discriminate between current models.
