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Matrix models for childhood infections: a Bayesian approach with applications to rubella and mumps

Kanaan, M.N. and Farrington, C.P. (2005). Matrix models for childhood infections: a Bayesian approach with applications to rubella and mumps. Epidemiology and Infection, 133(6) pp. 1009–1021.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1017/S0950268805004528
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Abstract

Mathematical modelling is an established tool for planning and monitoring vaccination programmes. However, the matrices describing contact rates are based on subjective choices, which have a large impact on results. This paper reviews published models and obtains prior model probabilities based on publication frequency and expert opinion. Using serological survey data on rubella and mumps, Bayesian methods of model choice are applied to select the most plausible models. Estimates of the basic reproduction number R, are derived, taking into account model uncertainty and individual heterogeneity in contact rates. Twenty-two models are documented, for which publication frequency and expert opinion are negatively correlated. Using the expert prior with individual heterogeneity, R-0 = 6.1 [95% credible region (CR) 4.3-9.2] for rubella and R-0= 19-3 (95% CR 4.0-31.5) for mumps. The posterior modes are insensitive to the prior for rubella but not for mumps. Overall, assortative models with individual heterogeneity are recommended.

Item Type: Journal Article
Copyright Holders: 2005 Cambridge University Press
ISSN: 0950-2688
Project Funding Details:
Funded Project NameProject IDFunding Body
Not SetNot SetWellcome Trust [grant number 061830]
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 18158
Depositing User: Colin Smith
Date Deposited: 07 Sep 2009 10:31
Last Modified: 02 Dec 2010 20:37
URI: http://oro.open.ac.uk/id/eprint/18158
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