Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories
- 1 Tokyo University of Science, Japan
Published On: 11 August 2020
Copyright: © 2020 Tomoyuki Nakagawa, Toshiki Takei, Aki Ishii and Sadao Tomizawa. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
For square contingency tables, some studies have developed the weighted arithmetic mean type measure to represent the degree of departure from the marginal homogeneity. The present paper proposes (1) the cumulative partial marginal homogeneity model which has the weaker restriction than the marginal homogeneity model and (2) the measure to represent the degree of departure from the proposed model. The measure is expressed as a weighted geometric mean of the diversity index. Finally, numerical studies are presented.
- Geometric Mean
- Marginal Homogeneity
- Square Contingency Table