Criterion-based methods for Bayesian model assessment

Statistica Sinica

Volumn 11, Issue 2, 2001, Pages 419-443

  Ibrahim, Joseph G ^a   Chen, Ming Hui ^a   Sinha, Debajyoti ^a  

^a NONE

Author keywords

Calibration; Model selection; Predictive criterion; Predictive distribution; Variable selection

Indexed keywords

EID: 0035638096     PISSN: 10170405     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. Bayarri, M. J. and Berger, J. O. (1999). Quantifying surprise in the data and model verification. In Bayesian Statistics 6 (Edited by J. M Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), 53-82. Oxford University Press, Oxford.
2. Bernardo, J. M. and Smith, A. F. M. (1994). Bayesian Theory. John Wiley, New York.
3. Box, G. E. P. (1980). Sampling and Bayes' inference in scientific modelling and robustness (with discussion). J. Roy. Statist. Soc. Ser. A 143, 383-430.
4. Box, G. E. P. and Tiao, G. C. (1973). Bayesian Inference in Statistical Analysis. Addison-Wesley, Reading, MA.
5. Carlin, B. P. and Louis, T. A. (1996). Bayes and Empirical Bayes Methods for Data Analysis. Chapman and Hall, London.
6. Chen, M.-H., Ibrahim, J. G. and Yiannoutsos, C. (1999). Prior elicitation, variable selection and Bayesian computation for logistic regression models. J. Roy. Statist. Soc. Ser. B 61, 223-242.
7. Chen, M.-H. and Shao, Q.-M. (1999). Monte Carlo estimation of Bayesian credible and HPD intervals. J. Comput. Graph. Statist. 8, 69-92.
8. Clyde, M. A. (1999). Bayesian model averaging and model search strategies. In Bayesian Statistics 6 (Edited by J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), 157-185. Oxford University Press, Oxford.
9. Cox, D. R. (1972). Regression models and life tables. J. Roy. Statist. Soc. Ser. B 34, 187-220.
10. Finkelstein, D. M. and Wolf, R. A. (1985). A semiparametric model for regression analysis of interval-censored failure time data. Biometrics 41, 933-945.
11. Geisser, S. (1993). Predictive Inference: An Introduction. Chapman and Hall, London.
12. Gelfand, A. and Ghosh, S. (1998). Model choice: a minimum posterior predictive loss approach. Biometrika 85, 1-13.
13. Gelman, A., Carlin, J. B., Stern, H. S. and Rubin, D. B. (1995). Bayesian Data Analysis. Chapman and Hall, London.
14. Gelman, A. Meng, X. L. and Stern, H. S. (1996). Posterior predictive assessment of model fitness via realized discrepancies (with discussion). Statist. Sinica 6, 733-807.
15. George, I. E. and McCulloch, R. E. (1993). Variable selection via Gibbs sampling. J. Amer. Statist. Assoc. 88, 881-889.
16. George, I. E., McCulloch, R. E. and Tsay, R. S. (1995). Two approaches to Bayesian model selections with applications. In Bayesian Analysis in Econometrics and Statistics - Essays in Honor of Arnold Zellner (Edited by D. A. Berry, K. A. Chaloner and J. K. Geweke), 339-348. John Wiley, New York.
17. Ibrahim, J. G. and Chen, M.-H. (1998). Prior distributions and Bayesian computation for proportional hazards models. Sankhya Ser. B 60, 48-64.
18. Ibrahim, J. G. and Laud, P. W. (1994). A predictive approach to the analysis of designed experiments. J. Amer. Statist. Assoc. 89, 309-319.
19. Ibrahim, J. G., Ryan, L.-M. and Chen, M.-H. (1998). Use of historical controls to adjust for covariates in trend tests for binary data. J. Amer. Statist. Assoc. 93, 1282-1293.
20. Kass, R. E. and Raftery, A. E. (1995). Bayes factors. J. Amer. Statist. Assoc. 90, 773-795.
21. Laud, P. W. and Ibrahim, J. G. (1995). Predictive model selection. J. Roy. Statist. Soc. Ser. B 57, 247-262.
22. Madigan, D. and Raftery, A. E. (1994). Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Amer. Statist. Assoc. 89, 1535-1546.
23. McCullagh, P. and Nelder, J. (1989). Generalized Linear Models. 2nd edition. Chapman and Hall, London.
24. Merigan, T. C., Amato, D. A., Balsley, J., Power, M., Price, W. A., Benoit, S., Perez-Michael, A., Brownstein, A., Kramer, A. S., Brettler, D., Aledort, L., Ragni, M. V., Andes, A. W., Gill, J. C., Goldsmith, J., Stabler, S., Sanders, N., Gjerset, G., Lusher, J. and the NHF-ACTG036 Study Group (1991). Placebo-controlled trial to evaluate zidovudine in treatment of human immunodeficiency virus infection in asymptomatic patients with hemophilia. Blood 78, 900-906.
25. Raftery, A. E., Madigan, D. and Hoeting, J. A. (1997). Bayesian model averaging for linear regression models. J. Amer. Statist. Assoc. 92, 179-191.
26. Raftery, A. E., Madigan, D. and Volinsky, C. T. (1995). Accounting for model uncertainty in survival analysis improves predictive performance. In Bayesian Statistics 5 (Edited by J. M. Bernardo, J. O. Berger, A. P. Dawid and A. F. M. Smith), 323-350. Oxford University Press, Oxford.
27. Silverman, B. W. (1986). Density Estimation for Statistics and Data Analysis. Chapman and Hall, London.
28. Sinha, D. and Dey, D. K. (1997). Semiparametric Bayesian analysis of survival data. J. Amer. Statist. Assoc. 92, 1195-1212.
29. Sinha, D., Chen, M.-H. and Ghosh, S. K. (1999). Bayesian analysis and model selection for interval-censored survival data. Biometrics 55, 585-590.
30. Spiegelhalter, D. J., Best, N. G. and Carlin, B. P. (1998). Bayesian deviance, the effective number of parameters, and the comparison of arbitrarily complex models. Submitted.
31. Volberding, P. A., Lagakos, S. W., Koch, M. A., Pettinelli, C., Myers, M. W., Booth, D. K., Balfour, H. H., Reichman, R. C., Bartlett, J. A., Hirsch, M. S., Murphy, R. L., Hardy, D., Soeiro, R., Fischl, M. A., Bartlett, J. G., Merigan, T. C., Hylsop, N. E., Richman, D. D., Valentine, F. T., Corey, L. and the AIDS Clinical Trials Group of the National Institute of Allergy and Infectious Diseases (1990). Zidovudine in asymptomatic human immunodeficiency virus infection. New England Journal of Medicine 322, 941-949.