IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v50y2021i8p1884-1896.html
   My bibliography  Save this article

Two sensitivity orders applied to the comparison of ROC curves

Author

Listed:
  • Héctor M. Ramos
  • Jorge Ollero
  • Alfonso Suárez-Llorens

Abstract

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 Rn+ 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.

Suggested Citation

  • Héctor M. Ramos & Jorge Ollero & Alfonso Suárez-Llorens, 2021. "Two sensitivity orders applied to the comparison of ROC curves," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(8), pages 1884-1896, April.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:8:p:1884-1896
    DOI: 10.1080/03610926.2019.1656744
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2019.1656744
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2019.1656744?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:taf:lstaxx:v:50:y:2021:i:8:p:1884-1896. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/lsta .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.