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

Author

Listed:
  • Fragkiskos Bersimis
  • Demosthenes Panagiotakos
  • Malvina Vamvakari

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.

Suggested Citation

  • Fragkiskos Bersimis & Demosthenes Panagiotakos & Malvina Vamvakari, 2017. "Investigating the sensitivity function's monotony of a health-related index," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(9), pages 1680-1706, July.
    • Handle: RePEc:taf:japsta:v:44:y:2017:i:9:p:1680-1706
    DOI: 10.1080/02664763.2016.1221906
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    1. Buonocore, Aniello & Pirozzi, Enrica & Caputo, Luigia, 2009. "A note on the sum of uniform random variables," Statistics & Probability Letters, Elsevier, vol. 79(19), pages 2092-2097, October.
    2. Georgia Kourlaba & Demosthenes Panagiotakos, 2010. "The diagnostic accuracy of a composite index increases as the number of partitions of the components increases and when specific weights are assigned to each component," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(4), pages 537-554.
    3. Center for Nutrition Policy and Promotion, 1995. "The Healthy Eating index," CNPP Reports 311249, United States Department of Agriculture, Center for Nutrition Policy and Promotion.
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