H. Brenner et O. Gefeller, VARIATION OF SENSITIVITY, SPECIFICITY, LIKELIHOOD RATIOS AND PREDICTIVE VALUES WITH DISEASE PREVALENCE, Statistics in medicine, 16(9), 1997, pp. 981-991
The sensitivity, specificity and likelihood ratios of binary diagnosti
c tests are often thought of as being independent of disease prevalenc
e. Empirical studies, however, have frequently revealed substantial va
riation of these measures for the same diagnostic test in different po
pulations. One reason for this discrepancy is related to the fact that
only few diagnostic tests are inherently dichotomous, The majority of
tests are based on categorization of individuals according to one or
several underlying continuous traits. For these tests, the magnitude o
f diagnostic misclassification depends not only on the magnitude of th
e measurement or perception error of the underlying trait(s), but also
on the distribution of the underlying trait(s) in the population rela
tive to the diagnostic cutpoint. Since this distribution also determin
es prevalence of the disease in the population, diagnostic misclassifi
cation and disease prevalence are related for this type of test. We as
sess the variation of various measures of validity of diagnostic tests
with disease prevalence for simple models of the distribution of the
underlying trait(s) and the measurement or perception error, We illust
rate that variation with disease prevalence is typically strong for se
nsitivity and specificity, and even more so for the likelihood ratios,
Although positive and negative predictive values also strongly vary w
ith disease prevalence, this variation is usually less pronounced than
one would expect if sensitivity and specificity were independent of d
isease prevalence. (C) 1997 by John Wiley & Sons, Ltd.