TY - JOUR
AU - Tomoyuki Nakagawa
AU - Toshiki Takei
AU - Aki Ishii
AU - Sadao Tomizawa
PY - 2020/08/11
Y2 - 2021/01/21
TI - Geometric Mean Type Measure of Marginal Homogeneity for Square Contingency Tables with Ordered Categories
JF - Journal of Mathematics and Statistics
JA - JMSS
VL - 16
IS - 1
SE - Research Article
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.
ER -