Empirical Bayes estimation of small area prevalence of non-rare conditions

Statistics in Medicine

Volumn 15, Issue 17-18, 1996, Pages 1867-1873

  Martuzzi, Marco ^a,b   Elliott, Paul ^a  

^a LONDON SCHOOL OF HYGIENE AND TROPICAL MEDICINE   (United Kingdom)

^b INTERNATIONAL AGENCY FOR RESEARCH ON CANCER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BAYES THEOREM; GEOGRAPHIC DISTRIBUTION; HUMAN; MEDICAL RESEARCH; MORBIDITY; MORTALITY; PREVALENCE; RESPIRATORY TRACT DISEASE; REVIEW; RISK ASSESSMENT; SCHOOL CHILD; UNITED KINGDOM;

AIR POLLUTION; BAYES THEOREM; CATCHMENT AREA (HEALTH); CHILD; DATA INTERPRETATION, STATISTICAL; ENGLAND; GEOGRAPHY; HUMANS; MODELS, STATISTICAL; PREVALENCE; RESPIRATION DISORDERS; SMALL-AREA ANALYSIS;

EID: 0029815251     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0258(19960915)15:17<1867::AID-SIM398>3.0.CO;2-2     Document Type: Review

References (12)

1. Marshall, R. J. 'A review of methods for the statistical analysis of spatial patterns of disease', Journal of the Royal Statistical Society, Series A, 154, 421-444 (1991).
2. Elliott, P., Martuzzi, M. and Shaddick, G. 'Spatial statistical methods in environmental epidemiology: a critique', Statistical Methods in Medical Research, 4, 137-159 (1995).
3. Elliott, P., Briggs, D., Lebret, E., Gorynski, P. and Kriz, B. 'Small area variations in air quality and health (the SAVIAH study): design and methods', Epidemiology, 6, S32 (1995).
4. Marshall, R. J. 'Mapping disease and mortality rates using empirical Bayes estimators', Applied Statistics, 40, 283-294 (1991).
5. Efron, B. and Morris, C. 'Stein's estimator and its generalisations', Journal of the American Statistical Association, 70, 311-319 (1973)
6. Potthoff, R. F. and Whittinghill, M. 'Testing for homogeneity: I. The binomial and multinomial distributions', Biometrika, 53, 167-182 (1966).
7. Moran, P. A. P. 'The interpretation of statistical maps', Journal of the Royal Statistical Society, Series B, 10, 243-251 (1948).
8. Crowder, M. J. 'Beta-binomial anova for proportions', Applied Statistics, 27, 34-37 (1978).
9. Louis, T. A. 'Estimating a population of parameter values using Bayes and empirical Bayes methods', Journal of the American Statistical Association, 79, 393-398 (1984).
10. Devine, O. J., Louis, T. A. and Halloran, M. E. 'Empirical Bayes estimators for spatially correlated incidence rate', Environmetrics, 5, 381-398 (1994).
11. Devine, O. J. and Louis, T. A. 'A constrained empirical Bayes estimator for incidence rates in areas with small populations', Statistics in Medicine, 13, 1119-1133 (1994).
12. Breslow, N. E. and Clayton, D. G. 'Approximate inference in linear mixed models', Journal of the American Statistical Association, 88, 9-25 (1993).