A primer on disease mapping and ecological regression using INLA

Computational Statistics

Volumn 26, Issue 2, 2011, Pages 241-258

  Schrödle, Birgit ^a   Held, Leonhard ^a  

^a UNIVERSITY OF ZURICH   (Switzerland)

Author keywords

Disease mapping; Ecological regression; INLA; Spatio temporal models

Indexed keywords

EID: 79955463481     PISSN: 09434062     EISSN: 16139658     Source Type: Journal    
DOI: 10.1007/s00180-010-0208-2     Document Type: Article

References (30)

1. Aitken I (1989) Clinical aspects and prevention of Q fever in animals. Eur J Epidemiol 5(4): 420-424.
2. Assunção R, Reis I, Oliveira C (2001) Diffusion and prediction of leishmaniasis in a large metropolitan area in Brazil with a Bayesian space-time model. Stat Med 20(15): 2319-2335.
3. Banerjee S, Carlin B, Gelfand A (2004) Hierarchical modeling and analysis for spatial data. Chapman & Hall/CRC, London.
4. Bernardinelli L, Clayton D, Montomoli C (1995) Bayesian estimates of disease maps: how important are priors?. Stat Med 14: 2411-2431.
5. Bernardinelli L, Clayton D, Pascutto C, Montomoli C, Ghislandi M (1995) Bayesian analysis of space-time variation in disease risk. Stat Med 14: 2433-2443.
6. Berzuini C, Clayton D (1994) Bayesian analysis of survival on multiple time scales. Stat Med 13: 823-838.
7. Besag J, York J, Mollié A (1991) Bayesian image restoration with two applications in spatial statistics. Ann Inst Stat Math 43(1): 1-59.
8. Clayton D, Bernardinelli L (1992) Bayesian methods for mapping disease risk. In: Cuzick J (ed) et al Geographical and environmental epidemiology. Methods for small area studies. Oxford University Press, Oxford, pp 205-220.
9. Clayton D, Bernardinelli L, Montomoli C (1993) Spatial correlation in ecological analysis. Int J Epidemiol 22(6): 1193-1202.
10. Czado C, Gneiting T, Held L (2009) Predictive model assessment for count data. Biometrics 65(4): 1254-1261.
11. Dupuis G, Petite J, Péter O, Vouilloz M (1987) An important outbreak of human Q fever in a Swiss alpine valley. Int J Epidemiol 16(2): 282-287.
12. Fahrmeir L, Lang S (2001) Bayesian inference for generalized additive mixed models based on Markov random field priors. J R Stat Soc Ser C 50(2): 201-220.
13. Gneiting T, Raftery AE (2007) Strictly proper scoring rules, prediction, and estimation. J Am Stat Assoc 102(477): 359-378.
14. Held L, Schrödle B, Rue H (2010) Posterior and cross-validatory predictive checks: a comparison of MCMC and INLA. In: Kneib T, Tutz G (eds) Statistical modelling and regression structures-Festschrift in honour of Ludwig Fahrmeir. Physica-Verlag, Heidelberg.
15. Knorr-Held L (2000) Bayesian modelling of inseparable space-time variation in disease risk. Stat Med 19: 2555-2567.
16. Kullback S, Leibler R (1951) On information and sufficiency. Ann Math Stat 22(1): 79-86.
17. Lindgren F, Rue H (2008) On the second-order random walk model for irregular locations. Scand J Stat 35: 691-700.
18. Martino S, Rue H (2009) Implementing approximate Bayesian inference using Integrated Nested Laplace Approximation: A manual for the inla program. Technical report, Norwegian University of Science and Technology Trondheim.
19. Moreno P, Ho P, Vasconcelos N (2004) A Kullback-Leibler divergence based kernel for SVM classification in multimedia applications. In: Thrun S, Saul L, Schölkopf B (eds) Advances in neural information processing systems 16. MIT Press, Cambridge.
20. Natario I, Knorr-Held L (2003) Non-parametric ecological regression and spatial variation. Biom J 45(6): 670-688.
21. R Development Core Team (2005) R: a language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria, http://www. R-project. org, ISBN 3-900051-07-0.
22. Rue H, Held L (2005) Gaussian Markov random fields. Chapman & Hall/CRC, London.
23. Rue H, Martino S (2007) Approximate Bayesian inference for hierarchical Gaussian Markov random field models. J Stat Plan Inference 137: 3177-3192.
24. Rue H, Martino S, Chopin N (2009) Approximate Bayesian inference for latent Gaussian models by using integrated nested Laplace approximations (with discussion). J R Stat Soc Ser B 71: 319-392.
25. Schmid V, Held L (2004) Bayesian extrapolation of space-time trends in cancer registry data. Biometrics 60: 1034-1042.
26. Schrödle B, Held L, Riebler A, Danuser J (2010) Using INLA for the evaluation of veterinary surveillance data from Switzerland: a case study. Technical report, University of Zurich.
27. Spiegelhalter D, Best N, Carlin B, van der Linde A (2002) Bayesian measures of model complexity and fit (with discussion). J R Stat Soc Ser B 64(4): 583-639.
28. Tierney L, Kadane JB (1986) Accurate approximations for posterior moments and marginal densities. J Am Stat Assoc 81(393): 82-86.
29. Woldehiwet Z (2004) Q fever (Coxiellosis): epidemiology and pathogenesis. Res Vet Sci 77(2): 93-100.
30. Wood S, Kohn R (1998) A Bayesian approach to robust binary nonparametric regression. J Am Stat Assoc 93(441): 203-213.