Bayesian Semiparametric Modeling for Matched Case-Control Studies with Multiple Disease States

Biometrics

Volumn 60, Issue 1, 2004, Pages 41-49

  Sinha, Samiran ^a   Mukherjee, Bhramar ^a   Ghosh, Malay ^a  

^a University of Florida   (United States)

Author keywords

Conditional inference; Dirichlet mixture; Exponential family; Gibbs sampling

Indexed keywords

BAYESIAN NETWORKS; DISEASE CONTROL; MARKOV PROCESSES; REGRESSION ANALYSIS;

BAYESIAN; BAYESIAN APPROACHES; CASE-CONTROL STUDY; CONDITIONAL INFERENCE; DIRICHLET MIXTURE; DISEASE STATE; EXPONENTIAL FAMILY; GIBBS SAMPLING; MATCHED CASE-CONTROL DATUM; SEMI-PARAMETRIC MODELING;

NORMAL DISTRIBUTION;

BAYESIAN ANALYSIS; DISEASE;

ARTICLE; BAYES THEOREM; CASE CONTROL STUDY; CONTROLLED STUDY; DISEASE COURSE; HUMAN; LOGISTIC REGRESSION ANALYSIS; LOW BIRTH WEIGHT; MAJOR CLINICAL STUDY; NEWBORN; SAMPLE SIZE; SIMULATION; STATISTICAL MODEL;

EID: 1642280191     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.0006-341X.2004.00169.x     Document Type: Article

References (20)

1. Antoniak, C. E. (1974). Mixtures of Dirichlet processes with applications to non-parametric problems. Annals of Statistics 2, 1152-1174.
2. Ashby, D., Hutton, J. L., and McGee, M. A. (1993). Simple Bayesian analyses for case-controlled studies in cancer epidemiology. Statistician 42, 385-389.
3. Breslow, N. E. and Day, N. E. (1980). Statistical Methods in Cancer Research, Volume 1. Lyon: International Agency for Research on Cancer.
4. Escobar, M. D. and West, M. (1995). Bayesian density estimation and inference using mixtures. Journal of the American Statistical Association 90, 577-588.
5. Gelman, A. and Rubin, D. B. (1992). Inference from iterative simulation using multiple sequences. Statistical Science 7, 457-472 (Disc: 483-501, 503-511).
6. Hosmer, D. A. and Lemeshow, S. (2000). Applied Logistic Regression, 2nd edition. New York: Wiley.
7. Little, R. J. A. and Rubin, D. B. (1987). Statistical Analysis with Missing Data. New York: Wiley.
8. Müller, P. and Roeder, K. (1997). A Bayesian semiparametric model for case-control studies with errors in variables. Biometrika 84, 523-537.
9. Müller, P., Parmigiani, G., Schildkraut, J., and Tardella, L. (1999). A Bayesian hierarchical approach for combining case-control and prospective studies. Biometrics 55, 858-866.
10. Neal, R. M. (2000). Markov chain sampling methods for Dirichlet process mixture models. Journal of Computational and Graphical Statistics 9, 249-265.
11. Nurminen, M. and Mutanen, P. (1987). Exact Bayesian analysis of two proportions. Scandinavian Journal of Statistics 14, 67-77.
12. Paik, M. C. and Sacco, R. (2000). Matched case-control data analyses with missing covariates. Applied Statistics 49, 145-156.
13. Prentice, R. L. and Pyke, R. (1979). Logistic disease incidence models and case-control studies. Biometrika 66, 403-411.
14. Rathouz, P. J., Satten, G. A., and Carroll, R. J. (2002). Semiparametric inference in matched case-control studies with missing covariate data. Biometrika 89, 905-916.
15. Satten, G. A. and Carroll, R. J. (2000). Conditional and unconditional categorical regression models with missing covariates. Biometrics 56, 384-388.
16. Satten, G. A. and Kupper, L. (1993a). Conditional regression analysis of the odds ratio between two binary variables when one is not measured with certainty: A method for epidemiologic studies. Biometrics 49, 429-440.
17. Satten, G. A. and Kupper, L. (1993b). Inferences about exposure-disease associations using probability-of-exposure information. Journal of the American Statistical Association 88, 200-208.
18. Seaman, S. R. and Richardson, S. (2001). Bayesian analysis of case-control studies with categorical covariates. Biometrika 88, 1073-1088.
19. Sinha, S., Mukherjee, B., Mallick, B. K., Ghosh, M., and Carroll, R. (2003). Semiparametric Bayesian analysis of matched case-control studies with missing exposure. Preprint.
20. Zelen, M. and Parker, R. A. (1986). Case-control studies and Bayesian inference. Statistics in Medicine 5, 261-269.