… Here we describe a Bayesian nonparametric procedure that leads to a tractable, explicit
and analytic quantification of the relative evidence for dependence vs independence. Our
approach uses Pólya tree priors on the space of probability measures which can then be
embedded within a decision theoretic test for dependence. Pólya tree priors can accommodate
known uncertainty in the form of the underlying sampling distribution and provides an
explicit posterior probability measure of both … In this article, we propose a Bayesian …