Related Experiment Video
Updated: Jul 15, 2026

Using the Race Model Inequality to Quantify Behavioral Multisensory Integration Effects
Published on: May 10, 2019
Bayesian methods for the analysis of inequality constrained contingency tables
1Department of Methodology and Statistics, Utrecht University, The Netherlands. o.laudy@fss.uu.nl
Abstract:
A Bayesian methodology for the analysis of inequality constrained models for contingency tables is presented. The problem of interest lies in obtaining the estimates of functions of cell probabilities subject to inequality constraints, testing hypotheses and selection of the best model. Constraints on conditional cell probabilities and on local, global, continuation and cumulative odds ratios are discussed. A Gibbs sampler to obtain a discrete representation of the posterior distribution of the inequality constrained parameters is used. Using this discrete representation, the credibility regions of functions of cell probabilities can be constructed. Posterior model probabilities are used for model selection and hypotheses are tested using posterior predictive checks. The Bayesian methodology proposed is illustrated in two examples.
Related Concept Videos
Contingency Table
Introduction to Test of Independence
The test statistic for a test of independence is similar to that of a goodness-of-fit test:
Friedman Two-way Analysis of Variance by Ranks
Determination of Expected Frequency
Hypothesis Test for Test of Independence
H0: The two variables (factors)...
Statistical Inference Techniques in Hypothesis Testing: Parametric Versus Nonparametric Data
Parametric statistics, as the name suggests, assumes that data follow a specific distribution, often a normal distribution. This assumption enables robust hypothesis testing and estimation. Parametric methods, like the Student's t-test or Goodness-of-fit test, are frequently employed in biostatistics due to their robustness. For instance, comparing...