Abstract
In this article, we describe the hcost program for estimating mean health care costs and incremental cost-effectiveness ratios with possibly censored data. hcost estimates the mean survival time and the mean costs, as well as their variances and covariance, for a given time horizon. If the group variable is specified, hcost will report the differences between two groups, as well as the incremental cost-effectiveness ratio and its confidence interval (optional). hcost can estimate the mean costs using two methods corresponding to different types of data: the Bang and Tsiatis (2000, Biometrika 87: 329–343) estimator using only the total costs or the Zhao and Tian (2001, Biometrics 57: 1002–1008) estimator when cost-history data are available. The hcost program can also be used to specify the annual discounting rates for survival time and costs.
9 References
| Bang, H. , and Tsiatis, A. A. 2000. Estimating medical costs with censored data. Biometrika 87: 329–343. Google Scholar | |
| Briggs, A. H. , Mooney, C. Z. , and Wonderling, D. E. 1999. Constructing confidence intervals for cost-effectiveness ratios: An evaluation of parametric and non-parametric techniques using Monte Carlo simulation. Statistics in Medicine 18: 3245–3262. Google Scholar | |
| Efron, B. , and Tibshirani, R. J. 1986. Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Statistical Science 1: 54–75. Google Scholar | |
| Efron, B. , and Tibshirani, R. J. 1993. An Introduction to the Bootstrap. New York: Chapman & Hall/CRC. Google Scholar | |
| Fenwick, E. , Marshall, D. A. , Levy, A. R. , and Nichol, G. 2006. Using and interpreting cost-effectiveness acceptability curves: An example using data from a trial of management strategies for atrial fibrillation. BMC Health Services Research 6: 52. Google Scholar | |
| Fieller, E. C. 1954. Some problems in interval estimation. Journal of the Royal Statistical Society, Series B 16: 175–185. Google Scholar | |
| Gold, M. R. , Siegel, J. E. , Russell, L. B. , and Weinstein, M. C. 1996. Cost-effectiveness in Health and Medicine. New York: Oxford University Press. Google Scholar | |
| Huang, Y. 2002. Calibration regression of censored lifetime medical cost. Journal of the American Statistical Association 97: 318–327. Google Scholar | |
| Hwang, J. T. G. 1995. Fieller's problems and resampling techniques. Statistica Sinica 5: 161–171. Google Scholar | |
| Jiang, G. , Wu, J. , and Williams, G. R. 2000. Fieller's interval and the bootstrap-Fieller interval for the incremental cost-effectiveness ratio. Health Services and Outcomes Research Methodology 1: 291–303. Google Scholar | |
| Jiang, H. , and Zhou, X.-H. 2004. Bootstrap confidence intervals for medical costs with censored observations. Statistics in Medicine 23: 3365–3376. Google Scholar | |
| Kim, L. G. , and Thompson, S. G. 2011. Estimation of life-years gained and cost effectiveness based on cause-specific mortality. Health Economics 20: 842–852. Google Scholar | |
| Lin, D. Y. , Feuer, E. J. , Etzioni, R. , and Wax, Y. 1997. Estimating medical costs from incomplete follow-up data. Biometrics 53: 419–434. Google Scholar | |
| Löthgren, M. , and Zethraeus, N. 2000. Definition, interpretation and calculation of cost-effectiveness acceptability curves. Health Economics 9: 623–630. Google Scholar | |
| Mushlin, A. I. , Hall, W. J. , Zwanziger, J. , Gajary, E. , Andrews, M. , Marron, R. , Zou, K. H. , Moss, A. J. , and for the MADIT Investigators. 1998. The cost-effectiveness of automatic implantable cardiac defibrillators: Results from MADIT. Circulation 97: 2129–2135. Google Scholar | |
| O'Brien, B. J. , and Briggs, A. H. 2002. Analysis of uncertainty in health care cost-effectiveness studies: An introduction to statistical issues and methods. Statistical Methods in Medical Research 11: 455–468. Google Scholar | SAGE Journals | |
| Pfeifer, P. E. , and Bang, H. 2005. Non-parametric estimation of mean customer lifetime value. Journal of Interactive Marketing 19: 48–66. Google Scholar | |
| Satten, G. A. , and Datta, S. 2001. The Kaplan-Meier estimator as an inverse-probability-of-censoring weighted average. American Statistician 55: 207–210. Google Scholar | |
| Stinnett, A. A. , and Mullahy, J. 1998. Net health benefits: A new framework for the analysis of uncertainty in cost-effectiveness analysis. Medical Decision Making 18: S68–S80. Google Scholar | SAGE Journals | |
| Wang, H. , and Zhao, H. 2008. A study on confidence intervals for incremental cost-effectiveness. Biometrical Journal 50: 505–514. Google Scholar | |
| Willan, A. R. , Lin, D. Y. , and Manca, A. 2005. Regression methods for cost-effectiveness analysis with censored data. Statistics in Medicine 24: 131–145. Google Scholar | |
| Zhao, H. , Bang, H. , Wang, H. , and Pfeifer, P. E. 2007. On the equivalence of some medical cost estimators with censored data. Statistics in Medicine 26: 4520–4530. Google Scholar | |
| Zhao, H. , and Tian, L. 2001. On estimating medical cost and incremental cost-effectiveness ratios with censored data. Biometrics 57: 1002–1008. Google Scholar | |
| Zhao, H. , and Tsiatis, A. A. 1997. A consistent estimator for the distribution of quality adjusted survival time. Biometrika 84: 339–348. Google Scholar | |
| Zhao, H. , and Tsiatis, A. A. 1999. Efficient estimation of the distribution of quality-adjusted survival time. Biometrics 55: 1101–1107. Google Scholar |
