Approximate cross-validatory predictive checks in disease mapping models

Statistics in Medicine

Volumn 22, Issue 10, 2003, Pages 1649-1660

  Marshall, E C ^a   Spiegelhalter, D J ^b  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Bayesian; Cross validation; Disease mapping; Predictive model checks

Indexed keywords

ARTICLE; BAYES THEOREM; CALCULATION; CANCER RISK; CONTROLLED STUDY; HUMAN; LIP CANCER; MONTE CARLO METHOD; POISSON DISTRIBUTION; PREDICTION; PROBABILITY; RANDOMIZATION; STATISTICAL ANALYSIS; STATISTICAL PARAMETERS; STATISTICAL SIGNIFICANCE; VALIDATION PROCESS;

BAYES THEOREM; HUMANS; LIP NEOPLASMS; MODELS, STATISTICAL; PREDICTIVE VALUE OF TESTS; RISK ASSESSMENT; SCOTLAND; SMALL-AREA ANALYSIS;

EID: 0037687725     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/sim.1403     Document Type: Article

References (22)

1. Besag J, York J, Mollié A. Bayesian image restoration with two applications in spatial statistics. Annals of the Institute of Statistics and Mathematics J991; 43:1-59.
2. Mollié A. Bayesian mapping of disease. In Markov Chain Monte Carlo in practice, Gilks W, Richardson S, Spiegelhalter D (eds). Chapman and Hall: London, 1995; 359-376.
3. Clayton D, Kaldor J. Empirical Bayes estimates of age-standardised relative risks for use in disease mapping. Biometrics 1987; 43:671-681.
4. Clayton DG, Bernardinelli L, Montomoli C. Spatial correlation in ecological analysis. International Journal of Epidemiology 1993; 22:1193-1202.
5. Richardson S, Guihenneuc C, Vasserre V. Spatial linear models with autocorrelated error structure. Statistician 1992; 41:539-557.
6. Knorr-Held L, Rasser G. Bayesian detection of clusters and discontinuities in disease maps. Biometrics 2000; 56:13-21.
7. Stern H, Cressie N. Posterior predictive model checks for disease mapping models. Statistics in Medicine 2000; 19:2377-2397.
8. Marshall EC, Spiegelhalter DJ. Simulation-based tests for divergent behaviour in hierarchical models. Technical report, Department of Epidemiology and Public Health, Imperial College 2002.
9. Spiegelhalter DJ. Bayesian graphical modelling: a case-study in monitoring health outcomes. Applied Statistics 1998; 47:115-134.
10. Berry G, Armitage P. Mid-p confidence intervals: a brief review. Statistician 1995; 44:417-423.
11. Gelman A, Meng X-L, Stern H. Posterior predictive assessment of model fitness via realized discrepancies. Statistica Sinica 1996; 6:733-807.
12. Gelman A, Carlin JB, Stern HS, Rubin DB. Balvesian Data Analysis. Chapman and Hall: London, 1995.
13. Bayarri MJ, Berger JO. P-values for composite null models. Journal of the American Statistical Association 2000; 95:1127-1142.
14. Richardson S, Montfort C, Green M, Draper G, Muirhead C. Spatial variation of natural radiation and childhood leukaemia incidence in Great Britian. Statistics in Medicine 1995; 14:2487-2501.
15. Bernardinelli L, Pascutto C, Best NG, Gilks WR. Disease mapping with errors in covariates. Statistics in Medicine 1997; 16:741-752.
16. Pascutto C, Wakefield J, Best N, Richardson SR, Bernardinelli L, Staines A, Elliott P. Statistical issues in the analysis of disease mapping data. Statistics in Medicine 2000; 19:2493-2519.
17. Besag JE, Kooperberg C. On conditional and intrinsic autoregressions. Biometrika 1995; 82:733-746.
18. Wakefield J, Best N, Waller L. Bayesian approaches to disease mapping. In Spatial Epidemiology, Elliott P, Wakefield J, B.N.G., B.D. (eds). Oxford University Press: Oxford, 2000; 104-127.
19. Kelsall J, Wakefield J. Discussion of 'Bayesian models for spatially correlated disease and exposure data,' by Best et al. In Bayesian Statistics 6, Bernardo J, Berger J, Dawid A, Smith A (eds). Oxford University Press: Oxford, 1999; 151.
20. Spiegelhalter DJ, Thomas A, Best NG. WinBUGS Version 1.3 User Manual. MRC Biostatistics Unit: Cambridge, 2000.
21. MathSoft. S-PLUS 5 for UNIX. Guide to Statistics. MathSoft,1998.
22. Gelman A, Rubin D. Inference from iterative simulation using multiple sequences. Statistical Science 1992; 7:457-511.