Generalized conjugate priors for Bayesian analysis of risk and survival regressions

Biometrics

Volumn 59, Issue 1, 2003, Pages 92-99

  Greenland, Sander ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bayesian inference; Case control studies; Conjugate prior; Cox model; Epidemiologic methods; Logistic regression; Odds ratio; Poisson regression; Proportional hazards regression; Relative risk; Risk analysis; Risk assessment; Risk ratio; Survival regression

Indexed keywords

BAYESIAN NETWORKS; INFERENCE ENGINES; REGRESSION ANALYSIS; RISK ANALYSIS;

BAYESIAN INFERENCE; CASE-CONTROL STUDY; CONJUGATE PRIOR; COX MODEL; EPIDEMIOLOGIC METHODS; LOGISTICS REGRESSIONS; ODD RATIOS; POISSON REGRESSION; PROPORTIONAL HAZARDS; PROPORTIONAL-HAZARD REGRESSION; RELATIVE RISKS; RISK RATIO; RISKS ASSESSMENTS; SURVIVAL REGRESSION;

RISK ASSESSMENT;

BAYESIAN ANALYSIS; EPIDEMIOLOGY; RISK ASSESSMENT; SURVIVAL;

ARTICLE; BAYES THEOREM; BIOSTATISTICS; CANCER SURVIVAL; CASE CONTROL STUDY; CHILD; CHILDHOOD CANCER; CHILDHOOD LEUKEMIA; CONTROLLED STUDY; HUMAN; LEUKEMIA; MAJOR CLINICAL STUDY; NONBIOLOGICAL MODEL; REGRESSION ANALYSIS; RISK ASSESSMENT; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 0037366626     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/1541-0420.00011     Document Type: Article

References (31)

1. Anderson, J. A. (1972). Separate sample logistic discrimination. Biometrika 59, 19-35.
2. Anderson, J. A. (1979). Robust inference using logistic models. International Statistical Institute Bulletin 48, 35-53.
3. Bayarri, M. J. and Berger, J. O. (2000), P-values for composite null models (with discussion). Journal of the American Statistical Association 95, 1127-1180.
4. Bedrick, E. J., Christensen, R., and Johnson, W. (1996). A new perspective on generalized linear models. Journal of the American Statistical Association 91, 1450-1460.
5. Bedrick, E. J., Christensen, R., and Johnson, W. (1997). Bayesian binomial regression: Predicting survival at a trauma center. The American Statistician 51, 211-218.
6. Box, G. E. P. (1980). Sampling and Bayes inference in scientific modeling and robustness (with discussion). Journal of the Royal Statistical Society, Series A 143, 383-430.
7. Breslow, N. E. and Powers, W. (1978). Are there two logistic regressions for retrospective studies? Biometrics 34, 100-105.
8. Carlin, B. and Louis, T. A. (1996). Bayes and Empirical Bayes Methods for Data Analysis. New York: Chapman and Hall.
9. Clogg, C. C., Rubin, D. B., Schenker, N., Schultz, B., and Weidman, L. (1991). Multiple imputation of industry and occupation codes in census public-use samples using Bayesian logistic regression. Journal of the American Statistical Association 86, 68-78.
10. Farewell, V. T. (1979). Some results on the estimation of logistic models based on retrospective data. Biometrika 66, 27-32.
11. Gelman, A., Carlin, J. B., Stern, H. S., and Rubin, D. B. (1995). Bayesian Data Analysis. New York: Chapman and Hall.
12. Greenland, S. (1992). A semi-Bayes approach to the analysis of correlated multiple associations, with an application to an occupational cancer-mortality study. Statistics in Medicine 11, 219-230.
13. Greenland, S. (1998). Probability logic and probabilistic induction. Epidemiology 19, 322-332.
14. Greenland, S. (2000). When should epidemiologic regressions use random coefficients? Biometrics 56, 915-921.
15. Greenland, S. (2001). Putting background information about relative risks into conjugate priors. Biometrics 57, 663-670.
16. Greenland, S. and Christensen, R. (2001). Data augmentation for Bayesian and semi-Bayes analyses of conditionallogistic and proportional-hazards regression. Statistics in Medicine 20, 2421-2428.
17. Greenland, S., Sheppard, A. R., Kaune, W. T., Poole, C., and Kelsh, M. A. (2000). A pooled analysis of magnetic fields, wire codes, and childhood leukemia. Epidemiology 11, 624-634.
18. Langholz, B. (2001). Factors that explain the power line configuration wiring code-childhood leukemia association: What would they look like? Bioelectromagnetics 5 (suppl.), 19-31.
19. Leonard, T. and Hsu, J. S. J. (1999). Bayesian Methods. Cambridge: Cambridge University Press.
20. Lindley, D. V. (2000). The philosophy of statistics (with discussion). The Statistician 49, 293-337.
21. Linet, M. S., Hatch, E. E., Kleinermann, R. A., Robison, L. C., Kaune, W. T., Friedman, D. R., Severson, R. K., Haines, C. M., Hartsock, C. T., Niwa, S., Wacholder, S., and Tarone, R. E. (1997). Residential exposure to magnetic fields and acute lymphoblastic leukemia in children. New England Journal of Medicine 337, 1-7.
22. London, S. J., Thomas, D. C., Bowman, J. D., Sobel, E., Cheng, T-C., and Peters, J. M. (1991). Exposure to residential electrical and magnetic fields and risk of childhood leukemia. American Journal of Epidemiology 134, 923-937.
23. McBride, M. D., Gallagher, R. P., Thériault, H.G., Armstrong, B. G., Tamaro, S., Spinelli, J. J., Deadman, J. E., Fincham, S., Robson, D., and Choi, W. (1999). Power-frequency electric and magnetic fields and risk of childhood leukemia in Canada. American Journal of Epidemiology 149, 831-842.
24. McCullagh, P. and Nelder, J. A. (1989). Generalized Linear Models, 2nd edition. New York: Chapman and Hall.
25. Portier, C. J. and Wolfe, M. S., eds. (1998). Assessment of Health Effects from Exposure to Power-Line Frequency Electric and Magnetic Fields. Research Triangle Park, North Carolina: National Institute of Environmental Health Sciences.
26. Prentice, R. L. and Pyke, R. (1979). Logistic disease incidence models and case-control studies. Biometrika 66, 403-411.
27. Robins, J. M., van der Vaart, A., and Ventura, V. (2000). Asymptotic distribution of P-values in composite null models (with discussion). Journal of the American Statistical Association 95, 1143-1180.
28. Rubin, D. B. (1984). Bayesianly justifiable and relevant frequency calculations for the applied statistician. Annals of Statistics 12, 1151-1172.
29. Savitz, D. A., Wachtel, H., Barnes, F. A., John, E. M., and Tvrdik, J. G. (1988). Case-control study of childhood cancer and exposure to 60-Hz magnetic fields. American Journal of Epidemiology 128, 21-38.
30. Scott, A. J. and Wild, C. J. (1989). Hypothesis testing in case-control studies. Biometrika 76, 806-808.
31. Weinberg, C. R. and Wacholder, S. (1993). Prospective analysis of case-control data under general multiplicative-intercept risk models. Biometrika 80, 461-465.