Bayesian latent variable models for median regression on multiple outcomes

Biometrics

Volumn 59, Issue 2, 2003, Pages 296-304

  Dunson, David B ^a   Watson, M ^a   Taylor, Jack A ^a  

^a NATIONAL INSTITUTE OF ENVIRONMENTAL HEALTH SCIENCES   (United States)

Author keywords

Comet assay; Factor analysis; Measurement error; Multivariate response; Repeated measures; Semiparametric; Single cell electrophoresis; Substitution likelihood

Indexed keywords

MARKOV PROCESSES; MONTE CARLO METHODS; MULTIVARIANT ANALYSIS;

BAYESIAN; COMET ASSAYS; FACTORS ANALYSIS; GAUSSIANS; MULTIVARIATE RESPONSE; REPEATED MEASURES; SEMIPARAMETRIC; SINGLE CELLS; SINGLE-CELL ELECTROPHORESIS; SUBSTITUTION LIKELIHOOD;

ELECTROPHORESIS;

DNA;

BAYESIAN ANALYSIS; BIOMETRY;

ANALYTICAL ERROR; ARTICLE; BAYES THEOREM; COMET ASSAY; CONFIDENCE INTERVAL; DNA STRAND BREAKAGE; ELECTROPHORESIS; FACTORIAL ANALYSIS; GENETIC TOXICOLOGY; GENOTOXICITY; MEASUREMENT; REGRESSION ANALYSIS; STATISTICAL PARAMETERS;

EID: 0038207146     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.1111/1541-0420.00036     Document Type: Article

References (22)

1. Albert, J. H. and Chib, S. (1993). Bayesian analysis of binary and polychotomous response data. Journal of the American Statistical Association 88, 669-679.
2. Albert, J. H. and Chib, S. (1995). Bayesian residual analysis for binary response regression models. Biometrika 82, 747-759.
3. Box, G. E. P. and Cox, D. R. (1964). The analysis of transformations (with discussion). Journal of the Royal Statistical Society, Series B 26, 211-252.
4. Casella, G. and Roberts, C. (1999). Monte Carlo Statistical Methods. New York: Springer-Verlag.
5. Chaloner, K. and Brant, R. (1988). A Bayesian approach to outlier detection and residual analysis. Biometrika 75, 651-659.
6. Chen, M.-H., Shao, Q.-M., and Ibrahim, J. G. (2000). Monte Carlo Methods in Bayesian Computation. New York: Springer-Verlag.
7. Dunson, D. B. (2000). Bayesian latent variable models for clustered mixed outcomes. Journal of the Royal Statistical Society, Series B 62, 355-366.
8. Dunson, D. B. and Taylor, J. A. (2002). Approximate Bayesian inference for quantiles. Unpublished manuscript.
9. Jeffreys, H. (1961). Theory of Probability, 3rd edition. Oxford: Claredon.
10. Huber, P. J. (1981). Robust Statistics. New York: Wiley.
11. Kottas, A. and Gelfand, A. E. (2001). Bayesian semiparametric median regression modeling. Journal of the American Statistical Assocation 96, 1458-1468.
12. Lavine, M. (1995). On an approximate likelihood for quantiles. Biometrika 82, 220-222.
13. Lin, X. H., Ryan, L., Sammel, M., Zhang, D. W., Padungtod, C., and Xu, X. P. (2000). A scaled linear mixed model for multiple outcomes. Biometrics 56, 593-601.
14. Lovell, D. P., Thomas, G., and Dubow, R. (1999). Issues related to the experimental design and subsequent statistical analysis of in vivo and in vitro comet studies. Teratogenesis, Carcinogenesis, and Mutagenesis 19, 109-119.
15. Mengersen, K. L. and Tweedie, R. L. (1996). Rates of convergence of the Hastings and Metropolis algorithms. Annals of Statistics 24, 101-121.
16. Moustaki, I. and Knott, M. (2000). Generalized latent trait models. Psychometrika 65, 391-411.
17. Roy, J. and Lin, X. (2000). Latent variable models for longitudinal data with multiple continuous outcomes. Biometrics 56, 1047-1054.
18. Sammel, M. D. and Ryan, L. M. (1996). Latent variable models with fixed effects. Biometrics 52, 650-663.
19. Sammel, M. D., Ryan, L. M., and Legler, J. M. (1997). Latent variable models for mixed discrete and continuous outcomes. Journal of the Royal Statistical Society, Series B 59, 667-678.
20. Walker, S. G., Damien, P., Laud, P. W., and Smith, A. F. M. (1999). Bayesian nonparametric inference for random distributions and related functions (with discussion). Journal of the Royal Statistical Society, Series B 61, 485-527.
21. Xu, J. and Zeger, S. L. (2001). The evaluation of multiple surrogate endpoints. Biometrics 57, 81-87.
22. Yu, K. and Moyeed, R. A. (2001). Bayesian quantile regression. Statistics and Probability Letters 54, 437-447.