# New Bayesian methods for testing independence in large sparse two-way contingency tables

#### by Professor Murray Aitkin

Institution: The University of Melbourne
Date: Thu 9th April 2009
Time: 2:15 PM
Location: Room 516, Redmond Barry bldg, The University of Melbourne

Abstract: This talk describes a new Bayesian method for testing for independence of row and column classifications in large (or small) sparse two-way contingency tables. It uses the posterior distribution of the likelihood ratio between the independence and the saturated models as the test criterion. This is easily simulated with diffuse priors for any table, and can be interpreted without any asymptotic repeated-sampling or posterior distribution assumption.

Four examples are given of sparse tables of various sizes, including two from simple social networks.