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Estimating multiparameter partial expected value of perfect information from a probabilistic sensitivity analysis
Mark Strong1, Jeremy E Oakley2, Alan Brennan1
1School of Health and Related Research (ScHARR), University of Sheffield, Sheffield, UK (MS, AB).
A new regression method efficiently estimates partial expected value of perfect information (EVPI) using existing probabilistic sensitivity analysis samples. This approach overcomes computational challenges and sampling difficulties associated with traditional methods.
Area of Science:
- Decision Analysis
- Computational Statistics
- Health Economics
Background:
- Partial expected value of perfect information (EVPI) is crucial for quantifying the value of information in decision models.
- Current estimation methods, like 2-level Monte Carlo, are computationally intensive and face challenges with correlated parameters.
- Efficient estimation of EVPI is vital for informed decision-making in complex models.
Purpose of the Study:
- To introduce a novel, computationally efficient nonparametric regression-based method for estimating partial EVPI.
- To demonstrate the applicability and advantages of this new method across various model complexities and parameter distributions.
- To provide an alternative to the computationally demanding 2-level Monte Carlo procedure.
Main Methods:
- Developed a nonparametric regression approach utilizing existing probabilistic sensitivity analysis (PSA) samples.
- Implemented the method using Generalized Additive Models (GAM) and Gaussian processes.
- Compared the efficiency and performance against the traditional 2-level Monte Carlo method in case studies.
Main Results:
- The regression-based method requires only PSA samples, simplifying the estimation process.
- Demonstrated superior computational efficiency compared to the 2-level Monte Carlo method in two case studies.
- The method is versatile, applicable to models of any complexity and parameter distribution specifications.
Conclusions:
- The novel regression-based method offers a more efficient and practical approach to estimating partial EVPI.
- This method reduces computational burden and circumvents sampling difficulties associated with correlated parameters.
- Availability of R code facilitates the adoption of this advanced technique in decision modeling.
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