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Expected value of sample information for Weibull survival data.

Alan Brennan1, Samer A Kharroubi

  • 1School of Health and Related Research (ScHARR), University of Sheffield, Sheffield, Yorkshire, UK. a.brennan@sheffield.ac.uk

Health Economics
|March 1, 2007
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Summary

Calculating the expected value of sample information (EVSI) is streamlined by new Bayesian approximation methods. The Brennan & Kharroubi method accurately approximates Weibull model benefits, significantly reducing computation time compared to MCMC.

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Area of Science:

  • Health economics
  • Biostatistics
  • Decision analysis

Background:

  • Expected value of sample information (EVSI) analysis is crucial for optimizing data collection strategies.
  • Bayesian updating in Weibull models traditionally relies on computationally intensive Markov chain Monte Carlo (MCMC) methods.

Purpose of the Study:

  • To evaluate and compare five distinct methods for calculating posterior expected net benefits in Weibull models.
  • To assess the accuracy, computational efficiency, and trade-offs of different EVSI calculation approaches.

Main Methods:

  • Comparison of two heuristic methods (data lumping, pseudo-normal) and two Bayesian approximation methods (Tierney & Kadane, Brennan & Kharroubi) against MCMC.
  • Application of these methods in a case study to compute EVSI for 25 distinct study options.

Main Results:

  • The Brennan & Kharroubi (B&K) method achieved accuracy within +/-1% of MCMC for expected net benefits.
  • B&K demonstrated superior accuracy in EVSI approximation, with pseudo-normal also showing reasonable performance.
  • B&K offered a significant computational speed-up (12x faster in the case study) compared to MCMC.

Conclusions:

  • The Brennan & Kharroubi method provides a computationally efficient and accurate alternative to MCMC for EVSI calculations in Weibull models.
  • The evaluated methods facilitate EVSI computation for economic models incorporating Weibull survival data and can be extended to other parametric survival distributions and complex models.