Abstract
Clinical trial studies are often conducted in which quality of life is accessed and recorded along with other clinically measurable endpoints. Consideration of the quality of life in addition to the survival time in the statistical analysis can result in a better assessment of the treatments being compared. Quality adjusted lifetime (QAL) data analysis can serve as an important tool to the medical and patient community. This article presents a Bayesian regression approach to the modeling of censored QAL data. The Bayesian hierarchical framework based on a progressive health state model with a data augmentation scheme which provides a nonzero probability to the zero time spent in any health state has been developed. Simulation studies using Markov Chain Monte Carlo (MCMC) methods were performed to validate the proposed method. A real data set was used to illustrate the application of the proposed method.
Similar content being viewed by others
References
Cole, B.F., Gelber, R.D., Goldhirsch, A., 1993. Cox regression odels for quality adjusted survival analysis. Statistics in Medicine, 12, 975–987.
Fine, J.P., Gelber, R.D., 2001. Joint regression analysis of survival and quality-adjusted survival. Biometrics, 57, 376–382.
Gelber, R.D., Gelman, R.S., Goldhirsch, A., 1989. A quality of life oriented endpoint for comparing therapies. Biometrics, 45, 781–795.
Ghosh, S.K., Mukhopadhyay, P., 2007. Bayesian analysis of quality adjusted lifetime (QAL) data. Journal of Statistical Theory and Practice, 1 (2), 233–251.
Glasziou, P.P., Simes, R.J., Gelber, R.D., 1990. Quality adjusted survival analysis. Statistics in Medicine, 9, 1259–1276.
Klein, J.P., Moeschberger, M.L., 1997. Survival Analysis, Springer.
Laan van der M.J., Hubbard, A., 1999. Locally efficient estimation of the quality-adjusted lifetime distribution with right-censored data and covariates. Biometrics, 55, 530–536.
Murray, S., Cole, B.F., 2000. Variance and sample size calculations in quality-of-life-adjusted survival analysis (Q-TWiST). Biometrics, 56, 173–182.
Robins, J.M., Rotnitzky, A., 1992. Recovery of information and adjustment for dependent censoring using surrogate markers. In: AIDS Epidemiology-Methodological Issues, Jewell, N. Dietz, K. and Farewell, V. (editors), Boston, MA: Birkhuser, 297–331.
Tanner, M., Wong, W., 1987. The calculation of posterior distributions by data augmentation (with discussion). Journal of American Statistical Association, 82, 528–550.
Wang, H., Zhao, H., 2007. Regression analysis of mean quality-adjusted lifetime with censored data. Biostatistics, 8 (2), 368–382.
Zhao, H., Tsiatis, A.A., 1997. A consistent estimator for the distribution of quality adjusted survival time. Biometrika, 84, 339–348.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Mishra, K.K., Ghosh, S.K. Bayesian Regression Models for the Quality Adjusted Lifetime Data with Zero Time Duration Health States. J Stat Theory Pract 3, 477–487 (2009). https://doi.org/10.1080/15598608.2009.10411939
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1080/15598608.2009.10411939