Semiparametric Bayesian analysis of matched case-control studies with missing exposure

Journal of the American Statistical Association

Volumn 100, Issue 470, 2005, Pages 591-601

  Sinha, Samiran ^a   Mukherjee, Bhramar ^b,c   Ghosh, Malay ^b,c   Mallick, Bani K ^a,b   Carroll, Raymond J ^a,b  

^a TEXAS A AND M UNIVERSITY   (United States)

^b Department of Statistics ^*

^c University of Florida ^*  (United States)

Author keywords

Case control studies; Conditional inference; Dirichlet process; Endometrial cancer; Equine epidemiology; Exponential family; Low birth weight study; Matching; Metropolis Hastings; Missing data; Retrospective studies

Indexed keywords

EID: 20444445947     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214504000001411     Document Type: Article

References (29)

1. Antoniak, C. E. (1974), "Mixtures of Dirichlet Processes With Applications to Non-Parametric Problems," The Annals of Statistics, 2, 1152-1174.
2. Breslow, N. E. (1996), "Statistics in Epidemiology, the Case-Control Study," Journal of the American Statistical Association, 91, 14-28.
3. Breslow, N. E., and Day, N. E. (1980), Statistical Methods in Cancer Research, Vol. 1, Lyon, France: International Agency for Research on Cancer.
4. Breslow, N. E., Day, N. E., Halvorsen, K. T., Prentice, R. L., and Sabai, C. (1978), "Estimation of Multiple Relative Risk Functions in Matched Case-Control Studies," American Journal of Epidemiology, 108, 299-307.
5. Cohen, N. D. (1997), "Epidemiology of Colic," Veterinary Clinic North America Equine Practice, 13, 91-201.
6. Diggle, P. J., Morris, S. E., and Wakefield, J. C. (2000), "Point-Source Modeling Using Matched Case-Control Data," Biostatistics, 1, 89-105.
7. Escobar, M. D. (1994), "Estimating Normal Means With a Dirichlet Process Prior," Journal of the American Statistical Association, 89, 268-277.
8. Escobar, M. D., and West, M. (1995), "Bayesian Density Estimation and Inference Using Mixtures," Journal of the American Statistical Association, 90, 577-588.
9. Gelman, A., and Rubin, D. B. (1992), "Inference From Iterative Simulation Using Multiple Sequences," Statistical Science, 7, 457-472.
10. Ghosh, M., and Chen, M.-H. (2002), "Bayesian Inference for Matched Case-Control Studies," Sankhyā, Ser. B, 64, 107-127.
11. Hosmer, D. A., and Lemeshow, S. (2000). Applied Logistic Regression (2nd ed.), New York: Wiley.
12. Kim, I., Cohen, N. D., and Carroll, R. J. (2002), "A Method for Graphical Representation of Effect Heterogeneity by a Matched Covariate in Matched Case-Control Studies Exemplified Using Data From a Study of Colic in Horses," American Journal of Epidemiology, 156, 463-470.
13. Lipsitz, S. R., Parzen, M., and Ewell, M. (1998), "Inference Using Conditional Logistic Regression With Missing Covariates," Biometrics, 54, 295-303.
14. Little, R. J. A., and Rubin, D. B. (1987), Statistical Analysis With Missing Data, New York: Wiley.
15. MacEachern, S. N., and Müller, P. (1998), "Estimating Mixture of Dirichlet Process Models," Journal of Computational and Graphical Statistics, 7, 223-238.
16. Müller, P., and Roeder, K. (1997), "A Bayesian Semiparametric Model for Case-Control Studies With Errors in Variables," Biometrika, 84, 523-537.
17. Neal, R. M. (2000), "Markov Chain Sampling Methods for Dirichlet Process Mixture Models," Journal of Computational and Graphical Statistics, 9, 249-265.
18. Paik, M. C., and Sacco, R. (2000), "Matched Case-Control Data Analyses With Missing Covariates," Applied Statistics, 49, 145-156.
19. 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.
20. Robert, C. P., and Casella, G. (1999), Monte Carlo Statistical Methods, New York: Springer-Verlag.
21. Satten, G., and Carroll, R. J. (2000), "Conditional and Unconditional Categorical Regression Models With Missing Covariates," Biometrics, 56, 384-388.
22. Satten, G., Flanders, W. D., and Yang, Q. (2001), "Accounting for Unmeasured Population Substructure in Case-Control Studies of Genetic Association Using a Novel Latent-Class Model," American Journal of Human Genetics, 68, 466-477.
23. Satten, G., 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.
24. _ (1993b), "Inferences About Exposure-Disease Associations Using Probability-of-Exposure Information," Journal of the American Statistical Association, 88, 200-208.
25. Seaman, S. R., and Richardson, S. (2001), "Bayesian Analysis of Case-Control Studies With Categorical Covariates," Biometrika, 88, 1073-1088.
26. Walsh, R. D. (1994), "Effects of Maternal Smoking on Adverse Pregnancy Outcomes: Examination of the Criteria of Causation," Human Biology, 66, 41-49.
27. Wang, C. Y., Wang, S., and Carroll, R. J. (1997), "Estimation in Choice-Based Sampling With Measurement Error and Bootstrap Analysis," Journal of Econometrics, 77, 65-86.
28. West, M., Müller, P., and Escobar, M. D. (1994), "Hierarchical Priors and Mixture Models, With Application in Regression and Density Estimation," in Aspects of Uncertainty: A Tribute to D. V. Lindley, eds. A. F. M. Smith and P. Freeman, New York: Wiley, pp. 363-386.
29. Zelen, M., and Parker, R. A. (1986), "Case-Control Studies and Bayesian Inference," Statistics in Medicine, 5, 261-269.