IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v27y2000i6p689-695.html
   My bibliography  Save this article

Optimal unconditional critical regions for 2 2 2 multinomial trials

Author

Listed:
  • J. M. Tapia Garcia
  • A. Martin Andres

Abstract

Analysing a 2 2 2 table is one of the most frequent problems in applied research (particularly in epidemiology). When the table arises from a 2 2 2 multinomial trial (or the case of double dichotomy), the appropriate test for independence is an unconditional one, like those of Barnard (1947), which, although they date from a long time ago, have not been developed (because of computational problems) until the last ten years. Among the different possible versions, the optimal (Martin Andres & Tapia Garcia, 1999) is Barnard's original one, but the calculation time (even today) is excessive. This paper offers critical region tables for that version, which behave well compared to those of Shuster (1992). The tables are of particular use for researchers wishing to obtain significant results for very small sample sizes (N h 50).

Suggested Citation

  • J. M. Tapia Garcia & A. Martin Andres, 2000. "Optimal unconditional critical regions for 2 2 2 multinomial trials," Journal of Applied Statistics, Taylor & Francis Journals, vol. 27(6), pages 689-695.
  • Handle: RePEc:taf:japsta:v:27:y:2000:i:6:p:689-695
    DOI: 10.1080/02664760050081861
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/02664760050081861
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1080/02664760050081861?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.

    References listed on IDEAS

    as
    1. Andres, A. Martin & Tejedor, I. Herranz, 1995. "Is Fisher's exact test very conservative?," Computational Statistics & Data Analysis, Elsevier, vol. 19(5), pages 579-591, May.
    Full references (including those not matched with items on IDEAS)

    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. Martin Andres, A. & Mato, A. Silva & Garcia, J. M. Tapia & Quevedo, M. J. Sanchez, 2004. "Comparing the asymptotic power of exact tests in 2x2 tables," Computational Statistics & Data Analysis, Elsevier, vol. 47(4), pages 745-756, November.
    2. A. Andrés & M. Sánchez Quevedo & J. Tapia García & A. Silva-Mato, 2005. "On the validity condition of the chi-squared test in 2×2 tables," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 14(1), pages 99-128, June.
    3. Andres, Martin & Garcia, Tapia, 1999. "Optimal unconditional test in 2x2 multinomial trials," Computational Statistics & Data Analysis, Elsevier, vol. 31(3), pages 311-321, September.

    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:japsta:v:27:y:2000:i:6:p:689-695. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/CJAS20 .

    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.