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Classical statistical considerations in medical decision models.

R D Rifkin

    Medical Decision Making : an International Journal of the Society for Medical Decision Making
    |January 1, 1983
    PubMed
    Summary

    Sampling errors significantly impact decision-analytic models, potentially amplifying small data inaccuracies into large errors in predictions. This unreliability necessitates quantifying statistical error in all decision analyses for accurate interpretation.

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    Statistics in medicine·1995

    Area of Science:

    • Decision Analysis
    • Biostatistics
    • Health Economics

    Background:

    • Decision-analytic models are crucial for clinical and health economic evaluations.
    • The reliability of these models depends on the accuracy of input data and statistical assumptions.
    • Understanding the propagation of sampling error is essential for robust model interpretation.

    Purpose of the Study:

    • To investigate the influence of sampling error on decision-analytic models.
    • To quantify how statistical errors in data affect model reliability, specifically the probability decision threshold and expected utility.
    • To assess the impact of compounded errors across multiple variables.

    Main Methods:

    • Development of formulas to link statistical error in data samples to errors in model outputs.

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  • Validation of these formulas using a simulation experiment.
  • Application of the validated formulas to a hypothetical decision model and a clinical scenario (appendicitis treatment).
  • Main Results:

    • Modest statistical errors in input variables can be amplified into substantial errors in the probability decision threshold and predicted gain in utility.
    • Simultaneous errors in multiple variables can compound, leading to unexpectedly large unreliability.
    • Model predictions can become unreliable across a wide range of disease probabilities due to error amplification.

    Conclusions:

    • Sampling error poses a significant threat to the reliability of decision-analytic models.
    • The interpretation of decision analysis results must consider both the predicted utility gain and a quantitative measure of prediction reliability.
    • Determining statistical error should be an integral part of any formal decision analysis to ensure accurate clinical and economic decision-making.