The University of Southampton
University of Southampton Institutional Repository

Association models for a multivariate binary response

Record type: Article

Models for a multivariate binary response are parameterized by univariate marginal probabilities and dependence ratios of all orders. The w-order dependence ratio is the joint success probability of w binary responses divided by the joint success probability assuming independence. This parameterization supports likelihood-based inference for both regression parameters, relating marginal probabilities to explanatory variables, and association model parameters, relating dependence ratios to simple and meaningful mechanisms.
Five types of association models are proposed, where responses are (1) independent given a necessary factor for the possibility of a success, (2) independent given a latent binary factor, (3) independent given a latent beta distributed variable, (4) follow a Markov chain, and (5) follow one of two first-order Markov chains depending on the realization of a binary latent factor. These models are illustrated by reanalyzing three data sets, foremost a set of binary time series on auranofin therapy against arthritis. Likelihood-based approaches are contrasted with approaches based on generalized estimating equations. Association models specified by dependence ratios are contrasted with other models for a multivariate binary response that are specified by odds ratios or correlation coefficients.

Full text not available from this repository.

Citation

Ekholm, Anders, McDonald, John W. and Smith, Peter W.F. (2000) Association models for a multivariate binary response Biometrics, 56, (3), pp. 712-718. (doi:10.1111/j.0006-341X.2000.00712.x).

More information

Published date: 2000
Keywords: binary time series, correlated binary data, dependence ratio, familial data, longitudinal data, marginal regression, moment parameter

Identifiers

Local EPrints ID: 34318
URI: http://eprints.soton.ac.uk/id/eprint/34318
PURE UUID: 051bf3da-ec20-4ad0-902f-347c7ce1816e
ORCID for Peter W.F. Smith: ORCID iD orcid.org/0000-0003-4423-5410

Catalogue record

Date deposited: 26 Jul 2006
Last modified: 17 Jul 2017 15:50

Export record

Altmetrics

Contributors

Author: Anders Ekholm
Author: John W. McDonald

University divisions


Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×