<abstract xmlns="http://www.w3.org/1999/xhtml"><p>For square contingency tables with ordered categories, Iki, Tahata and Tomizawa (2012) considered a measure to represent the degree of departure from marginal homogeneity. However, the maximum value of this measure cannot distinguish two kinds of marginal inhomogeneity. The present paper proposes a measure which can distinguish two kinds of marginal inhomogeneity. In particular, the proposed measure is useful for representing the degree of departure from marginal homogeneity when the marginal cumulative logistic model holds.</p></abstract>

For square contingency tables with ordered categories, Iki, Tahata and Tomizawa (2012) considered a measure to represent the degree of departure from marginal homogeneity. However, the maximum value of this measure cannot distinguish two kinds of marginal inhomogeneity. The present paper proposes a measure which can distinguish two kinds of marginal inhomogeneity. In particular, the proposed measure is useful for representing the degree of departure from marginal homogeneity when the marginal cumulative logistic model holds.

A directional measure for marginal homogeneity in square contingency tables with ordered categories

Department of Information Sciences, Faculty of Science and Technology

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

For square contingency tables with ordered categories, Iki, Tahata and Tomizawa (2012) considered a measure to represent the degree of departure from marginal...

A directional measure for marginal homogeneity in square contingency tables with ordered categories

Published Online: Jun 13, 2019

Page range: 1 - 11

DOI: https://doi.org/10.2478/bile-2019-0001

Keywords
Cumulative logistic model, Marginal homogeneity, Marginal odds, Square contingency table

© 2019 Kiyotaka Iki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

A directional measure for marginal homogeneity in square contingency tables with ordered categories

Published Online: Jun 13, 2019

Page range: 1 - 11

DOI: https://doi.org/10.2478/bile-2019-0001

KeywordsCumulative logistic model, Marginal homogeneity, Marginal odds, Square contingency table

© 2019 Kiyotaka Iki et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Cumulative logistic model, Marginal homogeneity, Marginal odds, Square contingency table