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Bayesian Cost-Effectiveness Analysis Using Individual-Level Data is Sensitive to the Choice of Uniform Priors on the
Xiaoxiao Ling1,2, Andrea Gabrio3, Gianluca Baio4
1Nuffield Department of Primary Care Health Sciences, University of Oxford, Radcliffe Observatory Quarter, Woodstock Road, Oxford, OX2 6GG, UK. x.ling.17@ucl.ac.uk.
Bayesian cost-effectiveness analysis (CEA) can be sensitive to prior choices. Using wide Uniform priors for log-cost standard deviations may impact CEA conclusions, especially with zero cost data.
Area of Science:
- Health Economics
- Biostatistics
- Decision Science
Background:
- Bayesian cost-effectiveness analysis (CEA) necessitates prior distributions for parameter estimation.
- Log-Normal distributions are often used for modeling costs in CEA.
- Wide Uniform priors on log-scale standard deviations of costs are common but their impact is unclear.
Purpose of the Study:
- To explore the impact of Uniform priors on cost standard deviations in log-normally distributed cost data within Bayesian CEA.
- To assess how prior choices affect CEA conclusions when costs are log-normally distributed.
Main Methods:
- Individual-level cost-utility data from a randomized controlled trial were analyzed.
- Costs and quality-adjusted life years (QALYs) were modeled using Log-Normal and Beta distributions, respectively.
- Uniform priors with varying upper bounds were applied to log-scale standard deviations, with comparisons to other distributional assumptions and a simulation study.
Main Results:
- The selection of Uniform priors on log-cost standard deviations can significantly alter cost estimates in Log-Normal models.
- These fluctuations may influence the determination of an intervention's cost-effectiveness.
- The presence of zero values in cost data appears to exacerbate these effects.
Conclusions:
- Bayesian CEA results can be sensitive to the upper bounds of Uniform priors for log-cost standard deviations in Log-Normal models.
- Caution is advised when employing Uniform distributions with large upper bounds, particularly with zero-valued cost data.
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