Two sensitivity orders applied to the comparison of ROC curves

The main aim of this article is to propose a conceptual support for ROC curves within the general field of inequalities by applying the theory of majorization of vectors. For our purpose, we will use the concept of sensitivity associated with a vector in which have been recently published in literat...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2021-04, Vol.50 (8), p.1884-1896
Main Authors: Ramos, Héctor M., Ollero, Jorge, Suárez-Llorens, Alfonso
Format: Article
Language:English
Subjects:
Diagnostic systems
medical diagnostic procedure
ROC curve
Sensitivity
sensitivity index
Sensitivity order
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Summary:The main aim of this article is to propose a conceptual support for ROC curves within the general field of inequalities by applying the theory of majorization of vectors. For our purpose, we will use the concept of sensitivity associated with a vector in which have been recently published in literature. Based on the sensitivity concept we first define an order between two vectors that we will call strong order sensitivity. Secondly, we will define a weak version of the previous order that enables us to expand the range of ROC curves that are comparable in absolute terms. Finally, we will apply the results to compare medical diagnostic procedures using ROC curves where we propose a new index of the reliability of diagnostic methods.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2019.1656744