IDEAS home Printed from https://ideas.repec.org/a/oup/biomet/v91y2004i3p758-761.html
   My bibliography  Save this article

Permutation invariance of alternating logistic regression for multivariate binary data

Author

Listed:
  • Anthony Y. C. Kuk

Abstract

A practically important but not so obvious result is that alternating logistic regression is invariant to permutations of the response variables within clusters. In this note, we give a short proof of the invariance result using a pairwise likelihood argument. The same proof can be used to establish invariance for a more general class of estimating equations based on conditional residuals. As it stands, the invariance theory is incomplete because existing standard error estimates are not invariant to permutations. To solve this problem we present a symmetrised version of the estimating equation and use it to obtain permutation-invariant standard errors. Copyright Biometrika Trust 2004, Oxford University Press.

Suggested Citation

  • Anthony Y. C. Kuk, 2004. "Permutation invariance of alternating logistic regression for multivariate binary data," Biometrika, Biometrika Trust, vol. 91(3), pages 758-761, September.
    • Handle: RePEc:oup:biomet:v:91:y:2004:i:3:p:758-761
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Citations

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


    Cited by:

    1. J. Perin & J. S. Preisser & C. Phillips & B. Qaqish, 2014. "Regression analysis of correlated ordinal data using orthogonalized residuals," Biometrics, The International Biometric Society, vol. 70(4), pages 902-909, December.
    2. Manuela Cattelan & Cristiano Varin, 2013. "Hybrid Pairwise Likelihood Analysis of Animal Behavior Experiments," Biometrics, The International Biometric Society, vol. 69(4), pages 1002-1011, December.
    3. Cristiano Varin, 2008. "On composite marginal likelihoods," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 92(1), pages 1-28, February.

    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:oup:biomet:v:91:y:2004:i:3:p:758-761. 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: Oxford University Press (email available below). General contact details of provider: https://academic.oup.com/biomet .

    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.