IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v18y1993i3p205-208.html
   My bibliography  Save this article

Sufficient conditions for treatment responders to have longer survival than non-responders

Author

Listed:
  • Liu, P. Y.
  • Voelkel, Joseph O.
  • Crowley, John
  • Wolf, Michael

Abstract

In cancer clinical trials, tumor response, defined in terms of predetermined relative decrease in tumor size, and overall survival are often used to evaluate treatment efficacy. Investigators often attempt to demonstrate a positive relationship betwen the two measures by comparing the survival of the responders to that of the non-responders. The biasedness of this comparison is explored mathematically. Sufficient conditions on the hazard functions to response and dying without responding are given so that the responders have stochastically longer survival than the non-responders. The conditions contain no restrictions on how response status might alter the subsequent death hazard. Examples are given where achieving a response has no or adverse impact on survival and yet responders appear to have longer survival. The results are applicable whenever the outcome of interest is the duration between two events and a time dependent covariate is used to define comparison groups.

Suggested Citation

  • Liu, P. Y. & Voelkel, Joseph O. & Crowley, John & Wolf, Michael, 1993. "Sufficient conditions for treatment responders to have longer survival than non-responders," Statistics & Probability Letters, Elsevier, vol. 18(3), pages 205-208, October.
    • Handle: RePEc:eee:stapro:v:18:y:1993:i:3:p:205-208
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-7152(93)90217-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

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

    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:eee:stapro:v:18:y:1993:i:3:p:205-208. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

    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.