Abstract

Joseph Gastwirth's paper concerns an increasingly important issue affecting public policy-the estimation of error rates in tests for such things as diseases, deception, and drugs. Gastwirth explores the estimator C of the predictive value of a positive test (PVP or P(D I S)) and the variance of C. He explains how C depends on the sensitivity q, the specificity 0, the base rate ir, and the sample proportion p of those whom the diagnostic test classifies as having the disease. Furthermore, for large samples, he demonstrates how the variance of C depends on q, 0, ir and the sample sizes used in estimating these quantities. Not being a statistician, I shall not attempt to address the technical aspects of Gastwirth's analysis. As an attorney, I am drawn to his discussion of the admissibility of polygraph evidence. First, I shall elaborate on his description of the standards for admissibility of such evidence. Then I shall consider the extent to which his analysis of C and Var(C) might be brought to bear on the legal question of the admissibility of polygraph evidence.

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