Bayesian methods for the analysis of inequality constrained contingency tables

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...

Full description

Saved in:
Bibliographic Details
Published inStatistical methods in medical research Vol. 16; no. 2; pp. 123 - 138
Main Authors Laudy, Olav, Hoijtink, Herbert
Format Journal Article
LanguageEnglish
Published London, England SAGE Publications 01.04.2007
Sage Publications Ltd
Subjects
Bayes Theorem
Bayesian analysis
Biometry
Contingency tables
Credibility
Humans
Inequalities
Mouth Neoplasms
Netherlands
Odds Ratio
Parameters
Subarachnoid Hemorrhage
Netherlands
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:0962-2802
1477-0334
DOI:10.1177/0962280206071925