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To construct a confidence interval for a single unknown population mean μ, where the population standard deviation is known, we need sample mean as an estimate for μ and we need the margin of error. Here, the margin of error (EBM) is called the error bound for a population mean (abbreviated EBM). The sample mean is the point estimate of the unknown population mean μ.
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Estimating the Expected Value of Sample Information Using the Probabilistic Sensitivity Analysis Sample: A Fast,

Mark Strong1, Jeremy E Oakley2, Alan Brennan1

  • 1School of Health and Related Research (ScHARR), University of Sheffield, Sheffield, UK (MS, AB, PB)

Medical Decision Making : an International Journal of the Society for Medical Decision Making
|March 27, 2015
PubMed
Summary
This summary is machine-generated.

A new regression method efficiently estimates the value of collecting new data (EVSI) for health economic models. This approach avoids complex calculations, offering a faster alternative to traditional methods for decision-making.

Keywords:
Bayesian decision theoryMonte Carlo methodscomputational methodseconomic evaluation modelexpected value of sample informationgeneralized additive model.nonparametric regression

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Area of Science:

  • Health Economics
  • Decision Analysis
  • Biostatistics

Background:

  • Health economic models inform decisions by estimating net benefits.
  • Model input parameters often have uncertainty, necessitating methods to quantify the value of reducing this uncertainty.
  • Expected value of sample information (EVSI) quantifies the value of new data for research design.

Purpose of the Study:

  • To introduce a computationally efficient, nonparametric regression-based method for estimating per-patient EVSI.
  • To provide an alternative to the computationally intensive 2-level Monte Carlo procedure for EVSI estimation.
  • To demonstrate the superior efficiency of the proposed regression method compared to the traditional Monte Carlo approach.

Main Methods:

  • A novel nonparametric regression technique is employed to estimate EVSI.
  • The method utilizes probabilistic sensitivity analysis samples, avoiding direct posterior distribution sampling.
  • It bypasses the need to rerun complex decision models for each data set.

Main Results:

  • The regression-based method significantly improves computational efficiency for EVSI estimation.
  • It successfully estimates EVSI without requiring sampling from posterior parameter distributions.
  • A case study confirmed the superior performance of the regression method over the 2-level Monte Carlo procedure.

Conclusions:

  • The developed nonparametric regression method offers a fast and efficient approach to estimating EVSI in health economic modeling.
  • This method simplifies the quantification of the value of information, aiding research prioritization.
  • The technique is broadly applicable to various model complexities and parameter distributions.