IDEAS home Printed from https://ideas.repec.org/a/taf/japsta/v39y2012i2p279-295.html
   My bibliography  Save this article

Measure of departure from marginal homogeneity using marginal odds for multi-way tables with ordered categories

Author

Listed:
  • Kiyotaka Iki
  • Kouji Tahata
  • Sadao Tomizawa

Abstract

For square contingency tables with ordered categories, this paper proposes a measure to represent the degree of departure from the marginal homogeneity model. It is expressed as the weighted sum of the power-divergence or Patil--Taillie diversity index, and is a function of marginal log odds ratios. The measure represents the degree of departure from the equality of the log odds that the row variable is i or below instead of i +1 or above and the log odds that the column variable is i or below instead of i +1 or above for every i . The measure is also extended to multi-way tables. Examples are given.

Suggested Citation

  • Kiyotaka Iki & Kouji Tahata & Sadao Tomizawa, 2012. "Measure of departure from marginal homogeneity using marginal odds for multi-way tables with ordered categories," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(2), pages 279-295, April.
    • Handle: RePEc:taf:japsta:v:39:y:2012:i:2:p:279-295
    DOI: 10.1080/02664763.2011.586682
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/02664763.2011.586682
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/02664763.2011.586682?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.

    Citations

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


    Cited by:

    1. Shuji Ando, 2019. "A Bivariate Index for Visually Measuring Marginal Inhomogeneity in Square Tables," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 8(5), pages 58-65, 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:39:y:2012:i:2:p:279-295. 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/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.