A Bayesian Approach to Joint Mixed-Effects Models with a Skew-Normal Distribution and Measurement Errors in Covariates

Biometrics

Volumn 67, Issue 1, 2011, Pages 260-269

  Huang, Yangxin ^a   Dagne, Getachew ^a  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

Bayesian approach; Distribution; HIV AIDS; Longitudinal data; Measurement errors; Nonlinear mixed effects models; Skewnormal

Indexed keywords

BAYESIAN NETWORKS; DISEASES; HIGHER ORDER STATISTICS; NORMAL DISTRIBUTION; RANDOM ERRORS; RANDOM PROCESSES;

BAYESIAN APPROACHES; COVARIATES; DISTRIBUTION; HIV/AIDS; LONGITUDINAL DATA; MIXED EFFECTS MODELS; NONLINEAR MIXED EFFECTS; NONLINEAR MIXED-EFFECT MODEL; SKEW-NORMAL DISTRIBUTION; SKEWNORMAL;

MEASUREMENT ERRORS;

ACQUIRED IMMUNE DEFICIENCY SYNDROME; BAYESIAN ANALYSIS; HUMAN IMMUNODEFICIENCY VIRUS; NONLINEARITY; NUMERICAL MODEL; SKEWNESS;

EID: 79952590669     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2010.01425.x     Document Type: Article

References (23)

1. Acosta, E. P., Wu, H., Walawander, A., Eron, J., Pettinelli, C., Yu, S., Neath, D., Ferguson, E., Saah, A. J., Kuritzkes, D. R., Gerber, J. G., for the Adult ACTG 5055 Protocol Team. (2004). Comparison of two indinavir/ritonavir regimens in treatment-experienced HIV-infected individuals. Journal of Acquired Immune Deficiency Syndromes 37, 1358-1366.
2. Arellano-Valle, R. B. and Azzalini, A. (2006). On the unification of families of skew-normal distributions. Scandinavian Journal of Statistics 33, 561-574.
3. Arellano-Valle, R. B., Bolfarine, H., and Lachos, V. H. (2005). Skew-normal linear mixed model. Journal of Data Science 3, 415-438.
4. Azzalini, A. and Dalla-Valle, A. (1996). The multivariate skew-normal distribution. Biometrika 83, 715-726.
5. Carroll, R. J., Ruppert, D., Stefanski, L. A., and Crainiceanu, C. M. (2006). Measurement Error in Nonlinear Models: A Modern Perspective, 2nd edition. London: Chapman and Hall.
6. Celeux, G., Forbes, F., Robert, C. P., and Titterington, D. M. (2006). Deviance information criteria for missing data models. Bayesian Analysis 1, 651-674.
7. Davidian, M. and Giltinan, D. M. (1995). Nonlinear Models for Repeated Measurement Data. London: Chapman & Hall.
8. Ghosh, P., Branco, M. D., and Chakraborty, H. (2007). Bivariate random effect model using skew normal distribution with application to HIV-RNA. Statistics in Medicine 26, 1255-1267.
9. Guo, X. and Carlin, B. P. (2004). Separate and joint modeling of longitudinal and event time data using standard computer packages. The American Statistician 58, 16-24.
10. Higgins, K. M., Davidian, M., and Giltinan, D. M. (1997). A two-step method to measurement error in time-dependent covariates in nonlinear mixed-effects models, with application to IGF-I pharmacokinetics. Journal of the American Statistical Association 92, 436-448.
11. Huang, Y. and Wu, H. (2005). Estimation of individual parameters in an HIV dynamic model. In Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention, W. Y. Tan and H. Wu (eds.), Ch. 15. Singapore: World Scientific.
12. Huang, Y., Liu, D., and Wu, H. (2006). Hierarchical Bayesian methods for estimation of parameters in a longitudinal HIV dynamic system. Biometrics 62, 413-423.
13. Liu, W. and Wu, L. (2007). Simultaneous inference for semiparametric nonlinear mixed-effects models with covariate measurement errors and missing responses. Biometrics 63, 342-350.
14. Lunn, D. J., Thomas, A., Best, N., and Spiegelhalter, D. (2000). WinBUGS-a Bayesian modelling framework: Concepts, structure, an extensibility. Statistics and Computing 10, 325-337.
15. Nowak, M. A. and May, R. M. (2000). Virus Dynamics: Mathematical Principles of Immunology and Virology. Oxford: Oxford University Press
16. Perelson, A. S., Essunger, P., Cao, Y., Vesanen, M., Hurley, A., Saksela, K., Markowitz, M., and Ho, D. D. (1997). Decay characteristics of HIV-1-infected compartments during combination therapy. Nature 387, 188-191.
17. Sahu, S. K., Dey, D. K., and Branco, M. D. (2003). A new class of multivariate skew distributions with applications to Bayesian regression models. The Canadian Journal of Statistics 31, 129-150.
18. Spiegelhalter, D. J., Best, N. G., Carlin, B. P., and Van der Linde, A. (2002). Bayesian measures of model complexity and fit (with discussion). Journal of the Royal Statistical Society, Series B 64, 583-639.
19. Wu, H. and Ding, A. A. (1999). Population HIV-1 dynamics in vivo: Applicable models and inferential tools for virological data from AIDS clinical trials. Biometrics 55, 410-418.
20. Wu, H. and Zhang, J.-T. (2006). Nonparametric Regression Methods for Longitudinal Data Analysis. Hoboken, New Jersey: Wiley.
21. Wu, H., Ding, A. A., and de Gruttola, V. (1998). Estimation of HIV dynamic parameters. Statistics in Medicine 17, 2463-2485.
22. Wu, H., Mellors, J., Ruan, P., McMahon, D., Kelleher, D., Lederman, M. M., and CNAA2004 Study Investigators. (2003). Viral dynamics and their relations to baseline factors and long-term virologic responses in treatment-naive HIV-1 infected patients receiving abacavir in combination with HIV-1 protease inhibitors. Journal of Acquired Immune Deficiency Syndromes 32, 557-564.
23. Wu, L. (2002). A joint model for nonlinear mixed-effects models with censoring and covariates measured with error, with application to AIDS studies. Journal of the American Statistical Association 97, 955-964.