Probabilistic analysis of global performances of diagnostic tests: interpreting the Lorenz curve-based summary measures
Resource
Statistics in Medicine 18 (4): 455-471
Journal
Statistics in Medicine
Pages
455-471
Date Issued
1999
Date
1999
Author(s)
Lee , Wen-Chung
Abstract
Several indices based on the receiver operating characteristic curve (ROC curve) have previously been found to possess probabilistic interpretations. However, these interpretations are based on some unrealistic diagnostic scenarios. In this paper, the author presents a new approach using the Lorenz curve. The author found that the summary indices of the Lorenz curve, that is, the Pietra index and the Gini index, can be interpreted in several ways ('average change in post-test probability', 'per cent maximum prognostic information', and 'probability of correct diagnosis'). These interpretations have a close tie with real-world medical diagnosis, suggesting that these indices are proper measures of test characteristics.
Type
journal article
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