  Whether the anarchical ansatz or more symmetric structures best describe the
neutrino parameters is a long standing question that underwent a revival of
interest after the discovery of a non- vanishing reactor angle and the
indication of a non-maximal atmospheric angle. In this letter, a Bayesian
statistical approach is adopted in order to analyse and compare the two
hypotheses within the context of U(1) flavour models. We study the constraints
on individual model parameters and perform model comparison: the results elect
constructions with built-in hierarchies among the matrix elements as preferred
over the anarchical ones, with values of the evidence that depends slightly on
whether the U(1) charges are also considered as free parameters or not, and on
the priors used.
