Investigating the sensitivity function's monotony of a health-related index

Fragkiskos Bersimis, Dimosthenis Panagiotakos and Malvina Vamvakari

Journal of Applied Statistics, 2017, vol. 44, issue 9, 1680-1706

Abstract: In this work it is investigated theoretically whether the support's length of a continuous variable, which represents a simple health-related index, affects the index's diagnostic ability of a binary health outcome. The aforementioned is attempted by studying the monotony of the index's sensitivity function, which is a measure of its diagnostic ability, in the cases that the index's distribution was either unknown or the uniform. The case of a composite health-related index which is formed by the sum of m component variables is also presented when the distribution of its component variables was either unknown or the uniform. It is proved that a health-related index's sensitivity is a non-decreasing function as to the finite length of its components' support, under certain condition. In addition, similar propositions are presented in the case that a health-related index is distributed normally according to its distribution parameters.

Date: 2017
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DOI: 10.1080/02664763.2016.1221906

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