Journal of Statistics: Advances in Theory and ApplicationsAuthor's: Yusuke Saigusa, Mitsuhiro Takami, Aki Ishii, Tomoyuki Nakagawa and Sadao Tomizawa
Pages: [53] - [70]
Received Date: March 7, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100122036
For square contingency tables, Saigusa et al. [7] considered the partial symmetry model which indicates symmetry of cell probabilities for at least one of pairs of symmetric cells with respect to the main diagonal of the table. The present paper proposes (1) another partial symmetry model for symmetric pairs of cumulative probabilities for the square table, and (2) a measure to represent the degree of departure from the model. The measure has a form of weighted geometric mean of the diversity index including Shannon entropy in a special case. Examples are given.
cumulative partial symmetry, diversity index, measure, ordered category.
