IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v54y2025i11p3367-3383.html
   My bibliography  Save this article

Some non parametric tests for umbrella alternatives in experimental design: A simulation study

Author

Listed:
  • Nabanita Kakati
  • Bipin Gogoi

Abstract

Testing the null hypothesis against the umbrella alternative arises in various practical situations. This article has studied some non parametric tests that may be used for umbrella alternatives and their performance in different symmetric and asymmetric distributions, including long-tailed, short-tailed, and a mixture of two distributions. We have considered viz., Mack and Wolfe test, Hettmansperger and Norton test, Shi test, SU test, and Modified Mack and Wolfe test. The simulation approach assesses the empirical level and power of test statistics. The study shows that the SU and Shi tests have performed almost the same in Normal, Cauchy, Contaminated normal, and mixture distributions. However, the overall performance of the SU test was found to be better than that of other selected tests.

Suggested Citation

  • Nabanita Kakati & Bipin Gogoi, 2025. "Some non parametric tests for umbrella alternatives in experimental design: A simulation study," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 54(11), pages 3367-3383, June.
    • Handle: RePEc:taf:lstaxx:v:54:y:2025:i:11:p:3367-3383
    DOI: 10.1080/03610926.2024.2391426
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2024.2391426
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2024.2391426?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:54:y:2025:i:11:p:3367-3383. 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.