TY  - JOUR
AU  - Nakagawa, Tomoyuki 
AU  - Takei, Toshiki 
AU  - Ishii, Aki 
AU  - Tomizawa, Sadao 
PY  - 2020
TI  - Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories
JF  - Journal of Mathematics and Statistics
VL  - 16
IS  - 1
DO  - 10.3844/jmssp.2020.170.175
UR  - https://thescipub.com/abstract/jmssp.2020.170.175
AB  - 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.