Nonparametric bayes testing of changes in a response distribution with an ordinal predictor.

Published

Journal Article

In certain biomedical studies, one may anticipate changes in the shape of a response distribution across the levels of an ordinal predictor. For instance, in toxicology studies, skewness and modality might change as dose increases. To address this issue, we propose a Bayesian nonparametric method for testing for distribution changes across an ordinal predictor. Using a dynamic mixture of Dirichlet processes, we allow the response distribution to change flexibly at each level of the predictor. In addition, by assigning mixture priors to the hyperparameters, we can obtain posterior probabilities of no effect of the predictor and identify the lowest dose level for which there is an appreciable change in distribution. The method also provides a natural framework for performing tests across multiple outcomes. We apply our method to data from a genotoxicity experiment.

Full Text

Duke Authors

Cited Authors

  • Pennell, ML; Dunson, DB

Published Date

  • June 2008

Published In

Volume / Issue

  • 64 / 2

Start / End Page

  • 413 - 423

PubMed ID

  • 17764484

Pubmed Central ID

  • 17764484

Electronic International Standard Serial Number (EISSN)

  • 1541-0420

International Standard Serial Number (ISSN)

  • 0006-341X

Digital Object Identifier (DOI)

  • 10.1111/j.1541-0420.2007.00885.x

Language

  • eng