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Rates and Probabilities in Economic Modelling

Transformation, Translation and Appropriate Application

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Abstract

Economic modelling is increasingly being used to evaluate the cost effectiveness of health technologies. One of the requirements for good practice in modelling is appropriate application of rates and probabilities. In spite of previous descriptions of appropriate use of rates and probabilities, confusions persist beyond a simple understanding of their definitions. The objective of this article is to provide a concise guide to understanding the issues surrounding the use of rates and probabilities reported in the literature in economic models, and an understanding of when and how to transform them appropriately. The article begins by defining rates and probabilities and shows the essential difference between the two measures. Appropriate conversions between rates and probabilities are discussed, and simple examples are provided to illustrate the techniques and pitfalls. How the transformed rates and probabilities may be used in economic models is then described and some recommendations are suggested.

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References

  1. Neumann PJ. Evidence-based and value-based formulary guidelines. Health Aff (Millwood) 2004; 23 (1): 124–134

    Article  Google Scholar 

  2. Sculpher M, Fenwick E, Claxton K. Assessing quality in decision analytic cost-effectiveness models: a suggested framework and example of application. Pharmacoeconomics 2000; 17 (5): 461–477

    Article  PubMed  CAS  Google Scholar 

  3. Buxton MJ, Drummond MF, Van Hout BA, et al. Modelling in economic evaluation: an unavoidable fact of life. Health Econ 1997; 6 (3): 217–227

    Article  PubMed  CAS  Google Scholar 

  4. Briggs A, Sculpher M. An introduction to Markov modelling for economic evaluation. Pharmacoeconomics 1998; 13 (4): 397–409

    Article  PubMed  CAS  Google Scholar 

  5. Philips Z, Ginnelly L, Sculpher M, et al. Review of guidelines for good practice in decision-analytic modelling in health technology assessment. Health Technol Assess 2004; 8 (36): 1–172

    PubMed  Google Scholar 

  6. Weinstein MC, O’Brien B, Hornberger J, et al. Principles of good practice for decision analytic modeling in health-care evaluation: report of the ISPOR Task Force on Good Research Practices. Modeling studies. Value Health 2003; 6 (1): 9–17

    Article  PubMed  Google Scholar 

  7. Miller DK, Homan SM. Determining transition probabilities: confusion and suggestions. Med Decis Making 1994; 14: 52–58

    Article  PubMed  CAS  Google Scholar 

  8. Hennekens C, Buring J. Epidemiology in medicine. Toronto (ON): Little Brown and Co., 1987

    Google Scholar 

  9. Myers ER, McCrory DC, Nanda K, et al. Mathematical model for the natural history of human papillomavirus infection and cervical carcinogenesis. Am J Epidemiol 2000; 151 (12): 1158–1171

    Article  PubMed  CAS  Google Scholar 

  10. Hunink M, Glasziou P, Siegel J, et al. Decision making in health and medicine: integrating evidence and values. New York: Cambridge University Press, 2001

    Google Scholar 

  11. Welton NJ, Ades AE. Estimation of Markov chain transition probabilities and rates from fully and partially observed data: uncertainty propagation, evidence synthesis, and model calibration. Med Decis Making 2005; 25 (6): 633–645

    Article  PubMed  Google Scholar 

Download references

Acknowledgements

The authors have no conflicts of interest that are relevant to this review. No sources of funding were used in the preparation of this paper.

The authors wish to acknowledge Sonja Sorensen from UBC and Dr Nicky Welton from the University of Bristol for their helpful comments on this manuscript. Any errors remain the responsibility of the authors.

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Correspondence to Rachael L. Fleurence.

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Fleurence, R.L., Hollenbeak, C.S. Rates and Probabilities in Economic Modelling. Pharmacoeconomics 25, 3–6 (2007). https://doi.org/10.2165/00019053-200725010-00002

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  • DOI: https://doi.org/10.2165/00019053-200725010-00002

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