IDEAS home Printed from https://ideas.repec.org/a/bla/scjsta/v33y2006i3p463-475.html
   My bibliography  Save this article

Testing Constancy for Isotonic Regressions

Author

Listed:
  • ANA COLUBI
  • J. SANTOS DOMÍNGUEZ‐MENCHERO
  • GIL GONZÁLEZ‐RODRÍGUEZ

Abstract

. In this paper, we propose a bootstrap method for testing the constancy of an isotonic regression. The technique we develop is completely non‐parametric and enlarges the appli‐cability of the classical chi‐bar‐squared tests, which require normality assumptions. We prove that our procedure is asymptotically correct and consistent. Moreover, by means of simulations we show that it behaves suitably in practice, and similarly to the chi‐bar‐squared tests under normality. Finally, we illustrate the method with the study of a real case that is well known in the related literature.

Suggested Citation

  • Ana Colubi & J. Santos Domínguez‐Menchero & Gil González‐Rodríguez, 2006. "Testing Constancy for Isotonic Regressions," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 33(3), pages 463-475, September.
    • Handle: RePEc:bla:scjsta:v:33:y:2006:i:3:p:463-475
    DOI: 10.1111/j.1467-9469.2006.00493.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9469.2006.00493.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9469.2006.00493.x?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. Ana Colubi & J. Santos Dominguez-Menchero & Gil Gonzalez-Rodriguez, 2018. "New designs to consistently estimate the isotonic regression," Computational Statistics, Springer, vol. 33(2), pages 639-658, June.
    2. Simone Fiori, 2013. "An isotonic trivariate statistical regression method," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 7(2), pages 209-235, June.
    3. Colubi, Ana & Domínguez-Menchero, J. Santos & González-Rodríguez, Gil, 2014. "Testing constancy in monotone response models," Computational Statistics & Data Analysis, Elsevier, vol. 72(C), pages 45-56.
    4. Domínguez-Menchero, J. Santos & Rivera, Javier & Torres-Manzanera, Emilio, 2014. "Optimal purchase timing in the airline market," Journal of Air Transport Management, Elsevier, vol. 40(C), pages 137-143.

    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:scjsta:v:33:y:2006:i:3:p:463-475. 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: http://www.blackwellpublishing.com/journal.asp?ref=0303-6898 .

    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.