Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories
Tomoyuki Nakagawa1, Toshiki Takei1, Aki Ishii1 & Sadao Tomizawa1 Show affiliations
- Tokyo University of Science, Japan
Journal of Mathematics and Statistics, Volume 16, Issue 1, pp. 170–175 · doi.org/10.3844/jmssp.2020.170.175
Abstract
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.
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Nakagawa, T., Takei, T., Ishii, A. & Tomizawa, S. (2020). Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories. Journal of Mathematics and Statistics, 16(1), 170–175. https://doi.org/10.3844/jmssp.2020.170.175
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