IDEAS home Printed from https://ideas.repec.org/a/bla/jorssc/v55y2006i4p493-506.html
   My bibliography  Save this article

Tests for a simple tree order restriction with application to dose–response studies

Author

Listed:
  • Shyamal D. Peddada
  • Joseph K. Haseman
  • Xiaofeng Tan
  • Greg Travlos

Abstract

Summary. We propose ‘Dunnett‐type’ test procedures to test for simple tree order restrictions on the means of p independent normal populations. The new tests are based on the estimation procedures that were introduced by Hwang and Peddada and later by Dunbar, Conaway and Peddada. The procedures proposed are also extended to test for ‘two‐sided’ simple tree order restrictions. For non‐normal data, nonparametric versions based on ranked data are also suggested. Using computer simulations, we compare the proposed test procedures with some existing test procedures in terms of size and power. Our simulation study suggests that the procedures compete well with the existing procedures for both one‐sided and two‐sided simple tree alternatives. In some instances, especially in the case of two‐sided alternatives or for non‐normally distributed data, the gains in power due to the procedures proposed can be substantial.

Suggested Citation

  • Shyamal D. Peddada & Joseph K. Haseman & Xiaofeng Tan & Greg Travlos, 2006. "Tests for a simple tree order restriction with application to dose–response studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 55(4), pages 493-506, August.
    • Handle: RePEc:bla:jorssc:v:55:y:2006:i:4:p:493-506
    DOI: 10.1111/j.1467-9876.2006.00549.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1467-9876.2006.00549.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1467-9876.2006.00549.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. Eryl Shirley, 2007. "Tests for a simple tree order restriction with application to dose–response studies," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(4), pages 493-494, August.
    2. Kulan Ranasinghe & Mervyn J. Silvapulle, 2008. "Semiparametric estimation of duration models when the parameters are subject to inequality constraints and the error distribution is unknown," Monash Econometrics and Business Statistics Working Papers 1/08, Monash University, Department of Econometrics and Business Statistics.
    3. Kulan Ranasinghe & Mervyn J. Silvapulle, 2008. "Semiparametric estimation of duration models when the parameters are subject to inequality constraints and the error distribution is unknown," Monash Econometrics and Business Statistics Working Papers 5/08, Monash University, Department of Econometrics and Business Statistics.
    4. Singh, Satya Prakash & Davidov, Ori, 2021. "On efficient exact experimental designs for ordered treatments," Computational Statistics & Data Analysis, Elsevier, vol. 164(C).

    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:55:y:2006:i:4:p:493-506. 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.