IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v37y1998i2p121-129.html
   My bibliography  Save this article

Testing for unimodal dependence in an ordered contingency table with restricted marginal probabilities

Author

Listed:
  • Park, Chul Gyu

Abstract

Likelihood ratio test is considered for testing unimodal dependence as a null hypothesis in a 2 x k ordered contingency table having order restriction on a marginal distribution. The asymptotic least-favorable distribution of the LRT statistic is derived as a convolution of two chi-bar-square distributions. This testing method is illustrated with blood pressure and heart disease data.

Suggested Citation

  • Park, Chul Gyu, 1998. "Testing for unimodal dependence in an ordered contingency table with restricted marginal probabilities," Statistics & Probability Letters, Elsevier, vol. 37(2), pages 121-129, February.
    • Handle: RePEc:eee:stapro:v:37:y:1998:i:2:p:121-129
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(97)00109-0
    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. W. M. Patefield, 1982. "Exact Tests for Trends in Ordered Contingency Tables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 31(1), pages 32-43, March.
    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. Park, Chul Gyu, 2002. "Testing for Ordered Trends of Binary Responses between Contingency Tables," Journal of Multivariate Analysis, Elsevier, vol. 81(2), pages 229-241, May.
    2. Park, Chul Gyu, 1998. "Least squares estimation of two functions under order restriction in isotonicity," Statistics & Probability Letters, Elsevier, vol. 37(1), pages 97-100, January.

    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. Cohen Arthur & Sackrowitz Harold B., 2000. "Testing Whether Treatment Is “Better“ Than Control With Ordered Categorical Data: Definitions And Complete Class Theorems," Statistics & Risk Modeling, De Gruyter, vol. 18(1), pages 1-26, January.
    2. Agresti, Alan & Coull, Brent A., 1998. "Order-restricted inference for monotone trend alternatives in contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 28(2), pages 139-155, August.
    3. Park, Chul Gyu, 2002. "Testing for Ordered Trends of Binary Responses between Contingency Tables," Journal of Multivariate Analysis, Elsevier, vol. 81(2), pages 229-241, May.
    4. Bhaskar Bhattacharya & Richard Dykstra, 1997. "A Fenchel Duality Aspect of Iterative I-Projection Procedures," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 49(3), pages 435-446, September.

    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:stapro:v:37:y:1998:i:2:p:121-129. 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/wps/find/journaldescription.cws_home/622892/description#description .

    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.