Spatial measurement error in infectious disease models

Journal of Applied Statistics

Volumn 39, Issue 5, 2012, Pages 1139-1150

  Deardon, Rob ^a   Habibzadeh, Babak ^a   Chung, Hau Yi ^a  

^a UNIVERSITY OF GUELPH   (Canada)

Author keywords

Bayesian inference; hierarchical models; individual level epidemic models; Markov chain Monte Carlo; measurement error; spatial models

Indexed keywords

EID: 84859628566     PISSN: 02664763     EISSN: 13600532     Source Type: Journal    
DOI: 10.1080/02664763.2011.644522     Document Type: Article

References (23)

1. Anderson, I. 2002. Foot and Mouth Disease 2001: Lessons to be Learned Inquiry, London: The Stationary Office.
2. Anderson, R. and May, R. 1991. Infectious Diseases of Humans, Oxford and New York: Oxford University Press.
3. Chis-Ster, I. and Ferguson, N. M. 2007. Transmission parameters of the 2001 foot and mouth epidemic in Great Britain. PLoS One, 2(6): e502
4. Chis-Ster, I. and Ferguson, N. M. 2009. Epidemiological inference for partially observed epidemics: The example of the 2001 foot and mouth epidemic in Great Britain. Epidemics, 1: 21-34.
5. Cooper, B. S., Medley, G. F., Bradley, S. J. and Scott, G. M. 2008. An augmented data method for the analysis of nosocomial infection data. Am. J. Epidemiol., 168(5): 548-557.
6. Deardon, R., Brooks, S., Grenfell, B., Keeling, M., Tildesley, M., Savill, N., Shaw, D. and Woolhouse, M. 2010. Inference for individual-level models of infectious diseases in large populations. Statist. Sinica, 20: 239-261.
7. Diggle, P. J. 2006. Spatio-temporal point processes, partial likelihood, foot and mouth disease. Statist. Methods Med. Res., 15: 325-336.
8. Ferguson, N. M., Donnelly, C. A. and Anderson, R. M. 2001. The foot-and-mouth epidemic in Great Britain: Pattern of spread and impact of interventions. Science, 292: 1155-1160.
9. Ferguson, N. M., Donnelly, C. A. and Anderson, R. M. 2001. Transmission intensity and impact of control policies on the foot-and-mouth epidemic in Great Britain. Nature, 413: 542-548.
10. Gamerman, D. and Lopes, H. F. 2006. Markov Chain Monte Carlo: Stochastic simulation for Bayesian inference, London: Chapman & Hall.
11. Geweke, J. 1992. "Evaluating the accuracy of sampling-based approaches to the calculation of posterior moments (with discussion)". In Bayesian Statistics 4, Edited by: Berger, J. O., Bernardo, J. M., Dawid, A. P. and Smith, A. F.M. 169-193. Oxford: Oxford University Press.
12. Gustafson, P. 2005. On model expansion, model contraction, identifiability, and prior information: Two illustrative scenarios involving mismeasured variables (with discussion). Statist. Sci., 20: 111-140.
13. Habibzadeh, B. and Deardon, R. 2010. The misspecification of infectious and latent periods in space-time epidemic models. Statist. Commun. Infect. Dis., 1(2) Article 24. Available at http://www.bepress.com/scid/vol2/iss1/art7/.
14. Jewell, C. P., Kypraios, T., Neal, P. and Roberts, G. O. 2009. Bayesian analysis of emerging infectious diseases. Bayesian Anal., 4(2): 191-222.
15. Keeling, M. J., Woolhouse, M. E.J., May, R. M., Davies, G. and Grenfell, B. T. 2003. Modelling vaccination strategies against foot-and-mouth disease. Nature, 421: 136-142.
16. Keeling, M. J., Woolhouse, M. E.J., Shaw, D. J., Matthews, L., Chase-Topping, M., Haydon, D. T., Cornell, S. J., Kappey, J., Wilesmith, J. and Grenfell, B. T. 2001. Dynamics of UK foot-and-mouth epidemic: Stochastic dispersal in a heterogeneous landscape. Science, 294: 813-817.
17. McBryde, E. S., Pettitt, A. N., Cooper, B. S. and McElwain, D. L.S. 2007. Characterizing an outbreak of vancomycin-resistant enterococci using hidden Markov models. J. R. Soc. Interface, 4(15): 745-754.
18. McKinley, T. J., Cook, A. and Deardon, R. 2009. Inference for epidemic models without likelihoods. Int. J. Biostat., 5(1) Article 24. Available at http://www.bepress.com/ijb/vol5/iss1/24/.
19. Neal, P. and Roberts, G. O. 2005. A case study in non-centering for data augmentation: Stochastic epidemics. Stat. Comput., 15(4): 315-327.
20. R Development Core Team. 2009. R: A Language and Environment for Statistical Computing. R Foundation for Statistical Computing, software available at http://www.R-project.org.
21. Savill, N. J., Shaw, D. J., Deardon, R., Tildesley, M. J., Keeling, M. J., Brooks, S. P., Woolhouse, M. E.J. and Grenfell, B. T. 2006. Topographic determinants of foot and mouth disease transmission in the UK 2001 epidemic. BMC Vet. Res., 2(3) Available at http://www.biomedcentral.com/1746-6148/2/3.
22. Tildesley, M. J., Savill, N. J., Shaw, D. J., Deardon, R., Brooks, S. P., Woolhouse, M. E.J., Grenfell, B. T. and Keeling, M. J. 2006. Optimal reactive vaccination strategies for an outbreak of foot-and-mouth disease in Great Britain. Nature, 440: 83-86.
23. Toni, T., Welch, D., Strelkowa, N., Ipsen, A. and Strumpf, M. P. 2009. Approximate Bayesian computation scheme for parameter inference and model selection in dynamical systems. J. R. Soc. Interface, 6: 187-202.