Marginal Cumulative Logistic Model of General Order for Multi-way Contingency Tables
DOI:
https://doi.org/10.17713/ajs.v49i2.920Abstract
For multi-way contingency table, Bhapkar and Darroch (1990) considered the marginal symmetry model for order h. The present paper proposes a marginal cumulative logistic model for order h. When h=1, this model reduces to the marginal logistic model (Agresti, 2002). It also gives a theorem that the marginal symmetry model for order h holds if and only if (i) the marginal cumulative logistic model for order h, (ii) the marginal moment equality model for order h, and (iii) the marginal symmetry model for order h-1 hold. A special case of this theorem with h=1 is identical to the result of Tahata, Katakura and Tomizawa (2007).
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2020 Austrian Journal of Statistics
This work is licensed under a Creative Commons Attribution 3.0 Unported License.
The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License.
The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed.
Copyright on any research article published by the Austrian Journal of Statistics is retained by the author(s). Authors grant the Austrian Journal of Statistics a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
Manuscripts should be unpublished and not be under consideration for publication elsewhere. By submitting an article, the author(s) certify that the article is their original work, that they have the right to submit the article for publication, and that they can grant the above license.
