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Empirical Bayes Estimates of Age-Standardized Relative Risks for Use in Disease Mapping
Abstract
There have been many attempts in recent years to map incidence and mortality from diseases such as cancer. Such maps usually display either relative rates in each district, as measured by a standardized mortality ratio (SMR) or some similar index, or the statistical significance level for a test of the difference between the rates in that district and elsewhere. Neither of these approaches is fully satisfactory and we propose a new approach using empirical Bayes estimation. The resulting estimators represent a weighted compromise between the SMR, the overall mean relative rate, and a local mean of the relative rate in nearby areas. The compromise solution depends on the reliability of each individual SMR and on estimates of the overall amount of dispersion of relative rates over different districts.
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Cites
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Laird, N. (1978) · Journal of the American Statistical Association · doi:10.1080/01621459.1978.10480103 · Cited by 753
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League Tables and Their Limitations: Statistical Issues in Comparisons of Institutional Performance
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On conditional and intrinsic autoregressions
BESAG, J., & KOOPERBERG, C. (1995) · Biometrika · doi:10.1093/biomet/82.4.733 · Cited by 732
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Bayesian hierarchical spatial models: Implementing the Besag York Mollié model in stan
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Age- and Tumor Subtype–Specific Breast Cancer Risk Estimates for CH EK 2 *1100delC Carriers
Schmidt, M. K., Hogervorst, F., van Hien, R., Cornelissen, S., Broeks, A., Adank, M. A., Meijers, H., Waisfisz, Q., Hollestelle, A., Schutte, M., et al. (2016) · Journal of Clinical Oncology · doi:10.1200/jco.2016.66.5844 · Cited by 173
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Policing and risk of overdose mortality in urban neighborhoods
Bohnert, A. S. B., Nandi, A., Tracy, M., Cerdá, M., Tardiff, K. J., Vlahov, D., & Galea, S. (2011) · Drug and Alcohol Dependence · doi:10.1016/j.drugalcdep.2010.07.008 · Cited by 122
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On the sensitivity of bayes factors to the prior distributions
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Metadata
- Authors
- Clayton, D., & Kaldor, J.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1987-09
- Volume
- 43
- Issue
- 3
- Pages
- 671
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2170712385
- Cited by
- 1,268
- References
- 1
- FWCI
- 3.75
- Type
- journal article
- Language
- en
- Open access
- closed
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