Contingency tables highlight relationships between categorical variables. Typically, the
symmetry or marginal homogeneity of a square contingency table is evaluated. The original …

For analyzing square contingency tables, Bowker [14] proposed the symmetry model.
Caussinus [16] proposed the quasi-symmetry model and gave a decomposition of model …

For two-way contingency tables, Tomizawa (1985) considered the quasi point-symmetry
(QP) model and the marginal point-symmetry (MP) model, and gave the theorem that the …

For square contingency tables with ordered category, the present paper proposes the
double linear diagonals-parameter symmetry (D-LDPS) model which implies the structure of …

To analyze two-way contingency tables with ordered categories, Iki and Tomizawa (2018)
proposed a measure to distinguish two kinds of marginal asymmetry for the midpoint …

For a T‐variate density function, the present paper defines the point‐symmetry, quasi‐point‐
symmetry of order k (< T), and the marginal point‐symmetry of order k and gives the theorem …

1.1 Background Many fields use categorical data analysis. These include social science,
medical, and pharmaceutical fields. Categorical data analysis such as the voting behavior or …

For square contingency tables with ordered categories, there may be some cases that one
wants to analyze them by considering collapsed tables with some adjacent categories …

For the analysis of square contingency tables with ordered categories, some models that the
log odds for two symmetric cell probabilities is a linear function of the row and column values …

This paper suggests several models that describe the symmetry and asymmetry structure of
each subdimension for the multiway square contingency table with ordered categories. A …