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Medical Decision Making
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On Uncertainty in Medical Testing

Robert L. Winkler, PhD

Fuqua School of Business, Duke University, Durham, North Carolina

James E. Smith, PhD

Fuqua School of Business, Duke University, Durham, North Carolina

There is confusion in the medical decision-making literature about how to handle uncertainty in medical tests. In this article, the authors consider the situation in which there is uncertainty about the pretest probability of a disease in a patient as well as uncertainty about the sensitivity and specificity of a diagnostic test for that disease. They discuss how to calculate posttest probabilities of a disease under such uncertainty and how to calculate a distribution for a posttest probability. They show that given certain independence assumptions, uncertainty about these parameters need not complicate the calculation of patient positive predictive values: One can simply use the expected values of the parameters in the standard Bayesian formula for posttest probabilities. The discussion on how to calculate distributions for positive predictive values corrects a common and potentially important error.

Key Words: predictive value of tests • sensitivity and specificity • Bayesian analysis • Bayes’ theorem • uncertainty

Medical Decision Making, Vol. 24, No. 6, 654-658 (2004)
DOI: 10.1177/0272989X04271045


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