Journal of Statistics: Advances in Theory and ApplicationsAuthor's: Kiyotaka Iki, Daisuke Nemoto and Sadao Tomizawa
Pages: [139] - [155]
Received Date: May 16, 2019
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100122063
For square contingency tables with ordered categories, this paper proposes a generalized diagonal exponent conditional symmetry model which indicates that in addition to the structure of conditional symmetry of the probabilities with respect to the main diagonal of the table, the log-odds of adjacent two probabilities along subdiagonal of the table is the sum of polynomial of row value and polynomial of column value with same coefficients. This paper also gives the decomposition using the proposed model.
diagonal exponent symmetry, ordinal category, orthogonal decomposition, quasi-symmetry, square contingency table.
