IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v37y1988i1p1-11.html
   My bibliography  Save this article

A Test for Discriminating between Additive and Multiplicative Relative Risks in Survival Analysis

Author

Listed:
  • Elja Arjas
  • David Venzon

Abstract

The proportional hazards model of Cox (1972) specified a relative risk of the form exp(β'z) for a covariate vector z. We propose a test to detect true relative risks that are a less convex function of β'z than the exponential, e.g. a linear function. The technique exploits the expected overestimation of conditional probabilities of failure at the ends of the range of values of β'z. Simulations indicate that the test is slightly conservative and illustrate how power is lost with certain covariate distributions and censoring patterns.

Suggested Citation

  • Elja Arjas & David Venzon, 1988. "A Test for Discriminating between Additive and Multiplicative Relative Risks in Survival Analysis," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 37(1), pages 1-11, March.
    • Handle: RePEc:bla:jorssc:v:37:y:1988:i:1:p:1-11
    DOI: 10.2307/2347489
    as

    Download full text from publisher

    File URL: https://doi.org/10.2307/2347489
    Download Restriction: no
    File URL: https://libkey.io/10.2307/2347489?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yau, Kelvin K. W. & McGilchrist, C. A., 1999. "Power family of transformation for Cox's regression with random effects," Computational Statistics & Data Analysis, Elsevier, vol. 30(1), pages 57-66, March.

    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:bla:jorssc:v:37:y:1988:i:1:p:1-11. 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: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/rssssea.html .

    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.