Publication:
Reducing Monte Carlo error in the Bayesian estimation of risk ratios using log-binomial regression models

dc.contributor.authorSalmerón, D.
dc.contributor.authorCano, J.A.
dc.contributor.authorChirlaque López, María Dolores
dc.contributor.departmentCiencias Sociosanitarias
dc.date.accessioned2024-03-01T07:52:19Z
dc.date.available2024-03-01T07:52:19Z
dc.date.issued2015
dc.description© 2015 JohnWiley & Sons, Ltd.. This document is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0 This document is the accepted version of a published work that appeared in final form in Statistics in Medicinees
dc.description.abstractIn cohort studies binary outcomes are very often analyzed by logistic regression. However, it is well-known that when the goal is to estimate a risk ratio, the logistic regression is inappropriate if the outcome is common. In these cases, a log-binomial regression model is preferable. On the other hand, the estimation of the regression coefficients of the log-binomial model is difficult due to the constraints that must be imposed on these coefficients. Bayesian methods allow a straightforward approach for log-binomial regression models, produce smaller mean squared errors in the estimation of risk ratios than the frequentist methods, and the posterior inferences can be obtained using the softwareWinBUGS. However,Markov chainMonte Carlo (MCMC) methods implemented inWinBUGS can lead to largeMonte Carlo errors in the approximations to the posterior inferences since they produce correlated simulations and the accuracy of the approximations are inversely related to this correlation. To reduce correlation and to improve accuracy, we propose a reparameterization based on a Poisson model and a sampling algorithm coded in R.es
dc.formatapplication/pdfes
dc.format.extent16es
dc.identifier.citationStatistics in Medicine,. Volume 34, Issue 19 pp. 2755-2767
dc.identifier.doihttps://doi.org/10.1002/sim.6527
dc.identifier.issnPrint: 0277-6715
dc.identifier.issnElectronic: 1097-0258
dc.identifier.urihttp://hdl.handle.net/10201/139790
dc.languageenges
dc.publisherWileyes
dc.relationThis research was supported by the S´eneca Foundation Programme for the Generation of Excellence Scientific Knowledge under Project 15220/PI/10.es
dc.relation.publisherversionhttps://onlinelibrary.wiley.com/doi/10.1002/sim.6527es
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectBinomial regression modelses
dc.subjectMarkov chain Monte Carloes
dc.subjectMonte Carlo errores
dc.subjectBayesian inferencees
dc.titleReducing Monte Carlo error in the Bayesian estimation of risk ratios using log-binomial regression modelses
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
relation.isAuthorOfPublicationd574b2ee-b5f0-4552-b9e9-a7622381f3f6
relation.isAuthorOfPublication.latestForDiscoveryd574b2ee-b5f0-4552-b9e9-a7622381f3f6
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