Testing for space-time interaction in conditional autoregressive models

Environmetrics

Volumn 23, Issue 1, 2012, Pages 3-11

  Ugarte, M D ^a   Goicoa, T ^a   Etxeberria, J ^a   Militino, A F ^a  

^a PUBLIC UNIVERSITY OF NAVARRE   (Spain)

Author keywords

Brain cancer; CAR models; Disease mapping; Simulation; Variance components

Indexed keywords

BAYESIAN ANALYSIS; BOOTSTRAPPING; BRAIN; CANCER; DISEASE INCIDENCE; ETIOLOGY; HEALTH RISK; PUBLIC HEALTH; SPATIOTEMPORAL ANALYSIS; TEMPORAL PERIOD; VARIANCE ANALYSIS;

SPAIN;

EID: 84855968720     PISSN: 11804009     EISSN: 1099095X     Source Type: Journal    
DOI: 10.1002/env.1126     Document Type: Article

References (27)

1. Bernardinelli L, Clayton D, Pascutto C, Montomoli C, Ghislandi M, Songini M. 1995. Bayesian analysis of space-time variation in disease risk. Statistics in Medicine 14:2433-2443.
2. Bernardinelli L, Montomoli C. 1992. Empirical Bayes versus fully Bayesian analysis of geographical variation in disease risk. Statistics in Medicine 11:983-1007.
3. Besag J, York J, Mollié A. 1991. Bayesian image restoration with two applications in spatial statistics. Annals of the Institute of Statistical Mathematics 43:1-59.
4. Breslow NE, Clayton DG. 1993. Approximate inference in generalized linear mixed models. Journal of the American Statistical Association 88:9-25.
5. Clayton D, Kaldor J. 1987. Empirical Bayes estimates of age-standardized relative risks for use in disease mapping. Biometrics 43:671-681.
6. Congdon P. 2006. A model framework for mortality and health data classified by age, area, and time. Biometrics 62:269-278.
7. Crainiceanu CM, Ruppert D. 2004. Likelihood ratio tests in linear mixed models with one variance component. Journal of the Royal Statistical Society, B 66:165-185.
8. Dean CB, Ugarte MD, Militino AF. 2001. Detecting interaction between random region and fixed age effects in disease mapping. Biometrics 57:197-202.
9. Dean CB, Ugarte MD, Militino AF. 2004. Penalized quasi-likelihood with spatially correlated data. Computational Statistics & Data Analysis 45:235-248.
10. Knorr-Held L. 2000. Bayesian modeling of inseparable space-time variation in disease risk. Statistics in Medicine 19:2555-2567.
11. Knorr-Held L, Besag J. 1998. Modelling risks from a disease in time and space. Statistics in Medicine 17:2045-2060.
12. Leroux BG, Lei X, Breslow N. 1999. Estimation of disease rates in small areas: a new mixed model for spatial dependence, In Statistical Models in Epidemiology, the Environment and Clinical Trials, Halloran ME, Berry D (eds), Springer, New York;179-192.
13. MacNab YC, Dean CB. 2000. Parametric bootstrap and penalized quasi-likelihood inference in conditional autoregressive models. Statistics in Medicine 19:2421-2435.
14. MacNab YC, Farrel PJ, Gustafson P, Wen S. 2004. Estimation in Bayesian disease mapping. Biometrics 60:865-873.
15. Manton KG, Woodbury MA, Stallard E, Riggan WB, Creason JB, Pellom AC. 1989. Empirical Bayes procedures for stabilizing maps of US cancer mortality rates. Journal of the American Statistical Association 84:637-650.
16. Self G, Liang KY. 1987. Asymptotic properties of maximum likelihood estimators and likelihood ratio tests under nonstandard conditions. Journal of the American Statistical Association 82:605-610.
17. Silvapulle MJ, Silvapulle P. 1995. A score test against one-sided alternative. Journal of the American Statistical Association 90:342-349.
18. Sinha SK. 2009. Bootstrap tests for variance components in generalized linear mixed models. Canadian Journal of Statistics 37:219-234.
19. Stram DO, Lee JW. 1994. Variance components testing in the longitudinal mixed effects model. Biometrics 50:1171-1177.
20. Stram DO, Lee JW. 1995. Correction to variance components testing in longitudinal mixed effects model. Biometrics 51:1196.
21. Ugarte MD, Ibáñez B, Militino AF. 2005. Detection of spatial variation in risk when using CAR models for smoothing relative risks. Stochastic Environmental Research and Risk Assessment 19:33-40.
22. Ugarte MD, Goicoa T, Ibáñez B, Militino AF. 2009. Evaluating the performance of spatio-temporal Bayesian models in disease mapping. Environmetrics 20:647-665.
23. Ugarte MD, Militino AF, Goicoa T. 2008. Prediction error estimators in empirical Bayes disease mapping. Environmetrics 19:287-300.
24. Verbeke G, Molenberghs G. 2003. The use of score tests for inference on variance components. Biometrics 59:254-262.
25. Wakefield J. 2007. Disease mapping and spatial regression with count data. Biostatistics 8:158-183.
26. Waller LA, Carlin BP, Xia H, Gelfand AE. 1997. Hierarchical spatio-temporal mapping of disease rates. Journal of the American Statistical Association 92:607-617.
27. Zhang DA, Lin X. 2003. Hypothesis testing in semiparametric additive mixed models. Biostatistics 4:57-74.