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American Journal of Epidemiology Vol. 121, No. 5: 744-753
Copyright © 1985 by The Johns Hopkins University School of Hygiene and Public Health


ORIGINAL CONTRIBUTIONS

MEASURES OF GAIN IN CERTAINTY FROM A DIAGNOSTIC TEST1

THOMAS D. KOEPSELL and FRED A. CONNELL

(Reprint requests to Dr. Fred A. Connell.)

Received for publication December 22, 1983. Revision received June 11, 1984. The authors propose several measures for quantifying the change in the clinical estimate of a patient's chances of having a disease that occurs as a result of diagnostic testing. Under most circumstances, the gain in clinical certainty from a positive test result is more affected by the specificity (T) of the test, while the gain from a negative test result is more affected by sensitivity (S). The prevalence of the disease in the tested population is also an Important determinant of the magnitude of gain in certainty. Measures of the expected gain in certainty can be calculated by weighting the gains from a positive or negative result by the likelihood of the respective test outcome. Indices of expected gain depend directly on the quantity S + T, implying that sensitivity and specificity have equal Importance in determining expected gain. When S + T = 1, the test provides no information; when S + T Is greatest, the expected gain is maximized. Expected gain is also related to the receiver operating characteristic curve for a diagnostic test the point on the receiver operating characteristic curve at which S + T is greatest corresponds to the point at which the distance from the major diagonal is greatest and at which the slope of the receiver operating characteristic curve equals 1.

decision making; diagnostic tests, routine; epidemiologic methods


1 School of Public Health and Community Medi. cine, University of Washington, SC-37, Seattle, WA 98195


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