Empirical Bayes Procedures for Stabilizing Maps of U.S. Cancer Mortality Rates

References

• Berger , J. 1983 . Comment on “Parametric Empirical Bayes Inference,” . Journal of the American Statistical Association , 78 : 55 – 57 . by C. N. Morris
   Google Scholar
• Blot , W. J. , Fraumeni , J. F. , Mason , T. J. and Hoover , R. 1979 . “Developing Clues to Environmental Cancer: A Stepwise Approach With the Use of Cancer Mortality Data,” . Environmental Health Perspectives , 32 : 53 – 58 .
   PubMed Web of Science ®Google Scholar
• Breslow , N. E. and Day , N. E. 1975 . “Indirect Standardization and Multiplicative Models for Rates, With Reference to the Age Adjustment of Cancer Incidence and Relative Frequency Data,” . Journal of Chronic Diseases , 28 : 289 – 303 .
   PubMedGoogle Scholar
• Brillinger , D. R. 1986 . “The Natural Variability of Vital Rates and Associated Statistics” . Biometrics , 42 : 693 – 734 . (with discussion)
   PubMed Web of Science ®Google Scholar
• Collings , B. J. and Margolin , B. H. 1985 . “Testing Goodness of Fit for the Poisson Assumption When Observations Are Not Identically Distributed,” . Journal of the American Statistical Association , 80 : 411 – 418 .
   Web of Science ®Google Scholar
• Deely , J. J. and Lindley , D. V. 1981 . “Bayes Empirical Bayes,” . Journal of the American Statistical Association , 76 : 833 – 841 .
   Web of Science ®Google Scholar
• Efron , B. 1982 . “Maximum Likelihood and Decision Theory,” . The Annals of Statistics , 10 : 340 – 356 .
   Web of Science ®Google Scholar
• Efron , B. and Hinkley , D. V. 1978 . “Assessing the Accuracy of the Maximum Likelihood Estimator: Observed Versus Expected Fisher Information” . Biometrika , 65 : 457 – 487 . (with discussion)
   Web of Science ®Google Scholar
• Fleiss , J. L. 1973 . Statistical Methods for Rates and Proportions , New York : John Wiley .
   Google Scholar
• Gail , M. 1978 . “The Analysis of Heterogeneity for Indirect Standardized Mortality Ratios,” . Journal of the Royal Statistical Society , 141 : 224 – 234 . Ser. A
   Google Scholar
• Gaver , D. P. and O'Muircheartaigh , I. G. 1987 . “Robust Empirical Bayes Analyses of Event Rates,” . Technometrics , 29 : 1 – 15 .
   Web of Science ®Google Scholar
• Haberman , S. J. 1988 . “A Warning on the Use of Chi-Squared Statistics With Frequency Tables With Small Expected Cell Counts,” . Journal of the American Statistical Association , 83 : 555 – 560 .
   Web of Science ®Google Scholar
• Kalbfleisch , J. D. and Sprott , D. A. 1970 . “Application of Likelihood Methods to Models Involving Large Numbers of Parameters” . Journal of the Royal Statistical Society , 32 : 175 – 208 . (with discussion), Ser. B
   Google Scholar
• Kitagawa , E. M. 1955 . “Components of a Difference Between Two Rates,” . Journal of the American Statistical Association , 50 : 1168 – 1194 .
   Web of Science ®Google Scholar
• Klebba , A. J. 1982 . Mortality From Diseases Associated With Smoking , Washington , DC : U.S. Government Printing Office . Vital and Health Statistics Ser. 20, No. 17; Department of Health and Human Services Publication PHS 82–1854
   Google Scholar
• Kleinman , J. C. 1977 . “Age-Adjusted Mortality Indexes for Small Areas: Applications to Health Planning,” . American Journal of Public Health , 67 : 834 – 840 .
   PubMed Web of Science ®Google Scholar
• Laird , N. M. and Louis , T. A. 1987 . “Empirical Bayes Confidence Intervals Based on Bootstrap Samples” . Journal of the American Statistical Association , 82 : 739 – 757 . (with discussion)
   Web of Science ®Google Scholar
• Lawless , J. F. 1987 . “Regression Methods for Poisson Process Data,” . Journal of the American Statistical Association , 82 : 808 – 815 .
   Web of Science ®Google Scholar
• Manton , K. G. and Stallard , E. 1981 . “Methods for the Analysis of Mortality Risks Across Heterogeneous Small Populations: Examination of Space-Time Gradients in Cancer Mortality in North Carolina Counties 1970–75,” . Demography , 18 : 217 – 230 .
   PubMed Web of Science ®Google Scholar
• Manton , K. G. and Stallard , E. 1984 . Recent Trends in Mortality Analysis , Orlando , FL : Academic Press .
   Google Scholar
• Manton , K. G. and Stallard , E. 1988 . Chronic Disease Modelling , London : Charles W. Griffin .
   Google Scholar
• Manton , K. G. , Stallard , E. , Creason , J. P. and Riggan , W. B. 1985 . “U.S. Cancer Mortality 1950–1978: A Strategy for Analyzing Spatial and Temporal Patterns,” . Environmental Health Perspectives , 60 : 369 – 380 .
   PubMed Web of Science ®Google Scholar
• Manton , K. G. , Woodbury , M. A. and Stallard , E. 1981 . “A Variance Components Approach to Categorical Data Models With Heterogeneous Cell Populations: Analysis of Spatial Gradients in Lung Cancer Mortality Rates in North Carolina Counties,” . Biometrics , 37 : 259 – 269 .
   PubMed Web of Science ®Google Scholar
• Manton , K. G. , Woodbury , M. A. , Stallard , E. and Dowd , J. E. 1986 . “A Composite Estimation Model for Producing Stabilized Health Rate Estimates for Small Areas Using Sample Surveys: Experience From Health Surveys in Ethiopia, India and Indonesia,” . In Small Area Statistics , Edited by: Platek , R. and Singh , M. P. 182 – 206 . Ottawa : Laboratory for Research in Statistics and Probability (Carleton Univ.)/University of Ottawa .
   Google Scholar
• Mason , T. J. , McKay , F. W. , Hoover , R. , Blot , W. J. and Fraumeni , J. F. 1975 . Atlas of Cancer Mortality for U.S. Counties, 1950–1969 (Department of Health, Education, and Welfare Publication 75–780) , Washington , DC : U.S. Government Printing Office .
   Google Scholar
• Mason , T. J. , McKay , F. W. , Hoover , R. , Blot , W. J. and Fraumeni , J. F. 1976 . Atlas of Cancer Mortality Among U.S. Nonwhites: 1950–1969 (Department of Health, Education, and Welfare Publication 76–1204) , Washington , DC : U.S. Government Printing Office .
   Google Scholar
• Morris , C. N. 1983a . “Parametric Empirical Bayes Inference: Theory and Applications” . Journal of the American Statistical Association , 78 : 47 – 65 . (with discussion)
   Web of Science ®Google Scholar
• Morris , C. N. 1983b . “Natural Exponential Families With Quadratic Variance Functions: Statistical Theory,” . The Annals of Statistics , 11 : 515 – 529 .
   Web of Science ®Google Scholar
• National Cancer Institute . 1987 . “Research Contributions Made Possible by the NCI Cancer Atlases Published in the 1970s,” Bethesda , MD Office of Cancer Communications Report (Backgrounder Series), June 9
   Google Scholar
• Pickle , L. W. , Mason , T. J. , Howard , N. , Hoover , R. and Fraumeni , J. F. 1987 . Atlas of U.S. Cancer Mortality Among Whites, 1950–1980 (Department of Health and Human Services Publication 87–2900) , Washington , DC : U.S. Government Printing Office .
   Google Scholar
• Richards , F. S. 1961 . “A Method of Maximum-Likelihood Estimation,” . Journal of the Royal Statistical Society , 23 : 469 – 475 . Ser. B
   Google Scholar
• Riggan , W. B. , Creason , J. P. , Nelson , W. C. , Manton , K. G. , Woodbury , M. A. , Stallard , E. , Pellom , A. C. and Beaubier , J. 1987 . U.S. Cancer Mortality Rates and Trends, 1950–1979, Volume IV: Maps (Environmental Protection Agency Health Effects Research Laboratory Publication 600/1–83/015e) , Washington , DC : U.S. Government Printing Office .
   Google Scholar
• Schaible , W. L. , Brock , D. B. and Schnack , G. A. “An Empirical Comparison of the Simple Inflation, Synthetic and Composite Estimators for Small Area Statistics,” . Proceedings of the Social Statistics Section . pp. 1017 – 1021 . American Statistical Association .
   Google Scholar
• Tsutakawa , R. K. 1988 . “Mixed Model for Analyzing Geographic Variability in Mortality Rates,” . Journal of the American Statistical Association , 83 : 37 – 42 .
   PubMed Web of Science ®Google Scholar
• Tsutakawa , R. K. , Shoop , G. L. and Marienfeld , C. J. 1985 . “Empirical Bayes Estimation of Cancer Mortality Rates,” . Statistics in Medicine , 4 : 201 – 212 .
   PubMed Web of Science ®Google Scholar