In social and biomedical sciences, testing in contingency tables often involves order restrictions on cell probabilities parameters. We develop objective Bayes methods for order-constrained testing and model comparison when observations arise under product binomial or multinomial sampling. Specifically, we consider tests for monotone order of the parameters against equality of all parameters. Our strategy combines in a unified way both the intrinsic prior methodology and the encompassing prior approach in order to compute Bayes factors and posterior model probabilities. Performance of our method is evaluated on several simulation studies and real datasets.

中文翻译：

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列联表中订单受限模型的客观贝叶斯比较

在社会和生物医学科学中，列联表中的测试通常涉及对细胞概率参数的顺序限制。当观察到产品二项式或多项式抽样时出现的结果时，我们开发了用于订单约束测试和模型比较的客观贝叶斯方法。具体而言，我们考虑针对所有参数的相等性对参数的单调顺序进行测试。为了计算贝叶斯因子和后验模型概率，我们的策略以统一的方式将内在先验方法和涵盖先验方法结合在一起。我们的方法的性能在一些仿真研究和真实数据集上得到了评估。