title: Bayesian evaluation of inequality and equality constrained hypotheses for contingency tables.
abstract: In this article, a Bayesian model selection approach is introduced that can select the best of a set of inequality and equality constrained hypotheses for contingency tables. The hypotheses are presented in terms of cell probabilities allowing researchers to test (in)equality constrained hypotheses in a format that is directly related to the data. The proposed method is investigated by several simulation studies and shows good performance. Software that allows researchers to apply the Bayesian approach to their own data is also provided.
authors.affiliation: Department of Methods and Statistics, Utrecht University, 3508 TC Utrecht, the Netherlands. i.klugkist@uu.nl
authors.forename: Irene
authors.initials: I
authors.lastname: Klugkist
authors.forename: Olav
authors.initials: O
authors.lastname: Laudy
authors.forename: Herbert
authors.initials: H
authors.lastname: Hoijtink
mesh_terms: D001499:Bayes Theorem; D035841:Behavioral Research / Q000379:methods / Q000706:statistics & numerical data; D003627:Data Interpretation, Statistical; D006801:Humans; D008433:Mathematics; D008960:Models, Psychological; D015233:Models, Statistical; D011336:Probability