IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v53y2008i2p463-470.html
   My bibliography  Save this article

Critical point computations for one-sided and two-sided pairwise comparisons of three treatment means

Author

Listed:
  • Hayter, A.J.
  • Kim, Jongphil
  • Liu, W.

Abstract

This paper addresses the problem of critical point calculations for pairwise comparisons of three normal means. One-sided and two-sided pairwise comparisons are standard multiple comparisons procedures, and while tables of critical points exist for balanced situations with equal sample sizes, only limited tables of critical points exist for unbalanced cases. A new algorithm is developed in this paper using elementary methods which allows the critical points to be found in all situations using only a one-dimensional numerical integration. Programs have been developed to implement the algorithm which will allow experimenters to easily find the required critical points and p-values.

Suggested Citation

  • Hayter, A.J. & Kim, Jongphil & Liu, W., 2008. "Critical point computations for one-sided and two-sided pairwise comparisons of three treatment means," Computational Statistics & Data Analysis, Elsevier, vol. 53(2), pages 463-470, December.
    • Handle: RePEc:eee:csdana:v:53:y:2008:i:2:p:463-470
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(08)00420-9
    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.

    References listed on IDEAS

    as
    1. Hayter, Anthony J., 1992. "Multiple comparisons of three ordered normal means for unbalanced models," Computational Statistics & Data Analysis, Elsevier, vol. 13(2), pages 153-162, March.
    2. Hayter, A. J. & Liu, W., 1996. "Exact calculations for the one-sided studentized range test for testing against a simple ordered alternative," Computational Statistics & Data Analysis, Elsevier, vol. 22(1), pages 17-25, June.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Kim, Jongphil, 2013. "The computation of bivariate normal and t probabilities, with application to comparisons of three normal means," Computational Statistics & Data Analysis, Elsevier, vol. 58(C), pages 177-186.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nashimoto, Kane & Wright, F.T., 2005. "A note on multiple comparison procedures for detecting differences in simply ordered means," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 393-401, July.
    2. Maurya, Vishal & Goyal, Anju & Gill, Amar Nath, 2011. "Simultaneous testing for the successive differences of exponential location parameters under heteroscedasticity," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1507-1517, October.
    3. Singh, Parminder & Liu, Wei, 2006. "A test against an umbrella ordered alternative," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1957-1964, December.
    4. Liu, W. & Ah-Kine, P. & Bretz, F. & Hayter, A.J., 2013. "Exact simultaneous confidence intervals for a finite set of contrasts of three, four or five generally correlated normal means," Computational Statistics & Data Analysis, Elsevier, vol. 57(1), pages 141-148.
    5. Nashimoto, Kane & Wright, F.T., 2005. "Multiple comparison procedures for detecting differences in simply ordered means," Computational Statistics & Data Analysis, Elsevier, vol. 48(2), pages 291-306, February.
    6. K. Strassburger & F. Bretz & H. Finner, 2007. "Ordered Multiple Comparisons with the Best and Their Applications to Dose–Response Studies," Biometrics, The International Biometric Society, vol. 63(4), pages 1143-1151, December.
    7. Pooja Soni & Isha Dewan & Kanchan Jain, 2019. "Nonparametric tests for ordered quantiles," Statistical Papers, Springer, vol. 60(3), pages 963-981, June.
    8. Hayter, A. J. & Liu, W., 1999. "A new test against an umbrella alternative and the associated simultaneous confidence intervals," Computational Statistics & Data Analysis, Elsevier, vol. 30(4), pages 393-401, June.

    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:eee:csdana:v:53:y:2008:i:2:p:463-470. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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/locate/csda .

    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.