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Monte Carlo probabilistic sensitivity analysis for patient level simulation models: efficient estimation of mean and
Anthony O'Hagan1, Matt Stevenson, Jason Madan
1Department of Probability and Statistics, University of Sheffield, Sheffield S3 7RH, UK. a.ohagan@sheffield.ac.uk
Probabilistic sensitivity analysis (PSA) for patient-level models is computationally intensive. New methods based on analysis of variance significantly reduce the computational burden of Monte Carlo PSA for these complex health economic models.
Area of Science:
- Health Economics
- Computational Statistics
- Biostatistics
Background:
- Probabilistic sensitivity analysis (PSA) is crucial for quantifying uncertainty in health economic models.
- Monte Carlo methods are commonly used for PSA but are computationally demanding for patient-level simulation models.
- The complexity of patient-level models, simulating numerous individuals, limits the feasibility of traditional PSA.
Purpose of the Study:
- To develop computationally efficient methods for PSA in patient-level simulation models.
- To reduce the computational burden associated with Monte Carlo PSA for complex health economic evaluations.
- To provide practical solutions for uncertainty analysis in micro-simulation models.
Main Methods:
- Developed novel methods based on the algebra of analysis of variance for PSA.
- Presented techniques to estimate the mean and variance of model outputs.
- Derived formulae for determining optimal sample sizes in PSA.
Main Results:
- The proposed methods substantially reduce the computational demand of Monte Carlo PSA.
- The approach enables more practical uncertainty analysis for patient-level models.
- Formulae for optimal sample size determination were provided.
Conclusions:
- The developed methods offer a significant computational advantage for PSA in patient-level models.
- This approach makes robust uncertainty analysis more feasible for complex health economic simulations.
- The findings facilitate more reliable cost-effectiveness calculations in healthcare.
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