  Bayesian nonparametric estimates of Australian mental health distributions
are obtained to assess how the mental health status of the population has
changed over time and to compare the mental health status of female/male and
indigenous/non-indigenous population subgroups. First- and second-order
stochastic dominance are used to compare distributions, with results presented
in terms of the posterior probability of dominance and the posterior
probability of no dominance. Our results suggest mental health has deteriorated
in recent years, that males mental health status is better than that of
females, and non-indigenous health status is better than that of the indigenous
population.
