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Eliciting expert opinion for cost-effectiveness analysis: a flexible family of prior distributions

  • Autores: María del Carmen Martel Escobar, Miguel Angel Negrín Hernández Árbol académico, Francisco José Vázquez Polo Árbol académico
  • Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 33, Nº. 2, 2009, págs. 193-212
  • Idioma: inglés
  • Enlaces
  • Resumen
    • The Bayesian approach to statistics has been growing rapidly in popularity as an alternative to the classical approach in the economic evaluation of health technologies, due to the significant benefits it affords. One of the most important advantages of Bayesian methods is their incorporation of prior information. Thus, use is made of a greater amount of information, and so stronger results are obtained than with frequentist methods. However, since Stevens and O'Hagan (2002) showed that the elicitation of a prior distribution on the parameters of interest plays a crucial role in a Bayesian cost-effectiveness analysis, relatively few papers have addressed this issue. In a cost-effectiveness analysis, the parameters of interest are the mean efficacy and mean cost of each treatment. The most common prior structure for these two parameters is the bivariate normal structure. In this paper, we study the use of a more general (and flexible) family of prior distributions for the parameters. In particular, we assume that the conditional densities of the parameters are all normal. The model is validated using data of a real clinical trial. The posterior distributions have been simulated using Markov Chain Monte Carlo techniques.

      Keywords: Bayesian analysis, cost-effectiveness, prior information, elicitation, conditionally specified distributions.

  • Referencias bibliográficas
    • Arnold, B., Castillo, E. and Sarabia, J. (1998). Bayesian analysis for classical distributions using conditionally specified priors. Sankhya-The...
    • Arnold, B., Castillo, E. and Sarabia, J. M. (1999). Conditional Specification of Statistical Models. Springer-Verlag, New York.
    • Arnold, B., Castillo, E. and Sarabia, J. (2001a). Bayesian inference using conditionally specified priors. Handbook of Applied Econometrics...
    • Arnold, B., Castillo, E. and Sarabia, J. (2001b). Conditionally specified distributions: an introduction. Statistical Science, 16, 249-274.
    • Arnold, B., Castillo, E., Sarabia, J. and González-Vega, L. (2000). Multiple modes in densitites with normal conditionals. Statistics and...
    • Baranski, J. V. and Petrusic, W. M. (1994). The calibration and resolution of confidence in perceptual judgments. Perception and Psychophysics,...
    • Berger, J. O. (1994). An overview of robust Bayesian analysis (with discussion). Test, 3, 5-124.
    • Briggs, A. H. (1999). A Bayesian approach to stochastic cost-effectiveness analysis. Health Economics, 8, 257-261.
    • Brooks, R. and EuroQol group (1996). EuroQol: The current state of play. Health Policy, 37, 53-72.
    • Castillo, E. and Galambos, J. (1989). Conditional distributions and the bivariate normal distribution. Metrika, 36, 209-214.
    • Chesley, G. R. (1978). Subjective probability elicitation techniques: A performance comparison. Journal of Accounting Research, 16, 225-241.
    • Clemen, R. T., Fischer, G. W. and Winkler, L. R. (2000). Assessing dependence: Some experimental results. Management Science, 46, 1100-1115.
    • Cooke, R. M. and Slijkhuis, K. A. (2003). Expert judgement in the uncertainty analysis of dike ring failure frequency. In W. R. Blischke and...
    • Denham, R. and Mengersen, K. (2007). Geographically assisted elicitation of expert opinion for regression models. Bayesian Analysis. Journal...
    • Diebolt, J. and Robert, C. P. (1994). Estimation of Finite Mixture Distributions through Bayesian Sampling. Journal of the Royal Statistical...
    • Edwards, W. and Phillips, L. D. (1964). Man as transducer for probabilities in Bayesian command and control systems. In G. L. Bryan andM.W....
    • Fenwick, E., Palmer, S., Claxton, K., Sculpher, M., Abrams, K. and Sutton, A. (2006). An iterative Bayesian approach to health technology...
    • Fryback, D., Chinnis, J. and Ulvila, J. (2001). Bayesian cost-effectiveness analysis. An example using the GUSTO trial. International Journal...
    • Gamerman, D. and Lopes, H. F. (2006). Markov Chain Monte Carlo: stochastic simulation for Bayesian inference. Chapman and Hall, London.
    • Garthwaite, P. H. and Al-Awadhi, S. A. (2001). Non-conjugate prior distribution assessment for multivariate normal sampling. Journal of the...
    • Garthwaite, P. H., Kadane, J. B. and O’Hagan, A. (2005). Statistical methods for eliciting probability distributions. Journal of the American...
    • Gelman, A. and Meng, X. (1991). A note on bivariate distributions that are conditionally normal. American Statistics, 45, 125-126.
    • Gelman, R., Carlin, J., Stern, H. S. and Rubin, D. B. (1995). Bayesian Data Analysis. Chapman and Hall, London.
    • Gilks, W. R., Richardson, S. and Spiegelhalter, D. J. (1996).Markov Chain Monte Carlo in Practice. Chapman and Hall, London.
    • Heitjan, D. (1997). Bayesian interim analysis of phase II cancer trials.Statistics inMedicine, 16, 1791-1802.
    • Heitjan, D., Moskowitz, A. and William, W. (1999). Bayesian estimation of cost-effectiveness ratios from clinical trials. Health Economics,...
    • Hogarth, R. M. (1975). Cognitive processes and the assessment of subjective probability distributions. Journal of the American Statistical...
    • Kadane, J. B., Dickey, J. M., Winkler, R. L., Smith, W. S. and Peters, S. C. (1980). Interactive elicitationof opinion for a normal linear...
    • Kadane, J. B. and Wolfson, L. J. (1998). Experiences in elicitation. The Statistician, 47, 3-19.
    • Kahneman, D. and Tversky, A. (1972). Subjective probability: A judgment of representativeness. Cognitive Psychology, 3, 430-454.
    • Kennedy, M., Anderson, C., O’Hagan, A., Lomas, M., Woodward, I., Gosling, J. P. and Heinemeyer, A. (2008). Quantifying uncertainty in the...
    • Laska, E., Meisner, M. and Siegel, C. (1997). Statistical inference for cost-effectiveness ratios.Health Economics, 6, 229-242.
    • Leal, J., Wordsworth, S., Legood, R. and Blair, E. (2007). Eliciting expert opinion for economic models: An applied example. Value in Health,...
    • Löthgren, M. and Zethraeus, N. (2000). Definition, interpretation and calculation of cost-effectiveness acceptability curves. Health Economics,...
    • Malakoff, D. (1999). Bayes offers a new way to make sense of numbers. Science, 286, 1460-1464.
    • McIntosh, M. W., Ramsey, S. D., Berry, K. and Urban, N. (2001). Parameter solicitation for planning cost effectiveness studies with dichotomous...
    • Negrı́n, M. and Vázquez-Polo, F. J. (2006). Bayesian cost-effectiveness analysis with two measures of effectiveness: the cost-effectiveness...
    • O’Hagan, A. and Stevens, J. (2001). A framework for cost-effectiveness analysis from clinical trial data. Health Economics, 10, 303-315.
    • O’Hagan, A., Stevens, J. and Montmartin, J. (2001). Bayesian cost-effectiveness analysis from clinical trial data. Statistics in Medicine,...
    • O’Hagan, A., Buck, C. E., Daneshkhah, A., Eiser, J. R., Garthwaite, P. H., Jenkinson, J., Oakley, J. and Rakow, T. (2006). Uncertain Judgements:...
    • Pinto, J., López, C., Badı́a, X., Corna, A. and Benavides, A. (2000). Análisis coste-efectividad del tratamiento antirretroviral de...
    • Saltelli, A., Chan, K. and Scott, E. M. (2000). Sensitivity Analysis. Wiley, Chichester.
    • Sarabia, J. M. and Gómez-Déniz, E. (2008). Construction of multivariate distributions: a review of some recent results. SORT, 32, 3-36.
    • Sarabia, J. M., Castillo, E., Gómez-Déniz, E. and Vázquez-Polo, F. J. (2005).Aclass of conjugate priors for log-normal claims based...
    • Sarmanov, O. V. (1966). Generalized normal correlation and two-dimensional Frechet classes. Doklady (Soviet Mathemathics), 168, 596-599.
    • Smith, M. K. and Marshall, S. (2006) A Bayesian design and analysis for dose-response using informative prior information. Journal of Biopharmaceutical...
    • Spiegelhalter, D., Feedman, L. and Parmar, M. (1994). Bayesian approaches to randomized trials (with discussion). Journal of the Royal Statistical...
    • Spiegelhalter, D. J., Myles, J. P., Jones, D. R. and Abrams, K. R. (2000a). Bayesian methods in health technology assessment: a review. Health...
    • Spiegelhalter, D., Thomas, A. and Best, N. (2000b). WinBUGS version 1.3. User manual, Biostatistics Unit, Cambridge Medical Research Council.
    • Staël von Holstein, C. A. S. (1970).Measurementof subjectiveprobability.Acta Psychologica, 34, 146-159.
    • Stevens, J. and O’Hagan, A. (2002). Incorporation of genuine prior information in cost-effectiveness analysis of clinical trial data. International...
    • Stinnett, A. and Mullahy, J. (1998). Net health benefits: a new framework for the analysis of uncertainty in cost-effectiveness analysis....
    • Tambour, M., Zethraeus, N. and Johannesson, M. (1998). A note on confidence intervals in cost-effectiveness analysis. International Journal...
    • Ting-Lee, M. L. (1996). Properties and applications of the Sarmanov family of bivariate distributions. Communications Statistics: Theory and...
    • Vázquez-Polo, F. J. and Negrı́n, M. (2004). Incorporating patients’ characteristics in cost-effectiveness studies with clinical trial...
    • Viviane, A. and Barkun, N. A. (2008). Estimates of costs of hospital stay for variceal and nonvariceal upper gastrointestinal bleeding in...
    • Willan, A. and O’Brien, B. (1996). Confidence intervals for cost-effectiveness ratios: an application of Fielle’s theorem. Health Economics,...
    • Winkler, R. L. (1967). The assessment of prior distributions in Bayesian analysis. Journal of the American Statistical Association, 62, 776-800.
    • Winkler, R. L. (2001). Why Bayesian analysis hasn’t caught on in healthcare decision making. International Journal of Technology Assessment...
    • Yaniv, I., Yates, J. F. and Smith, J. E. K. (1991). Measures of discrimination skill in probabilistic judgment. Psychological Bulletin, 110,...
    • Yates, J. F. (1990). Judgment and decision making. Prentice-Hall, Englewood Cliffs.

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