Partitioning measure of quasi-symmetry for square contingency tables

K Tahata, K Kozai, S Tomizawa - 2014 - projecteuclid.org
For the analysis of square contingency tables, we propose the Kullback–Leibler information
type measure to represent the degree of departure from the quasi-symmetry (QS) model. We …

Advances in quasi-symmetry for square contingency tables

K Tahata - Symmetry, 2022 - mdpi.com
Contingency tables highlight relationships between categorical variables. Typically, the
symmetry or marginal homogeneity of a square contingency table is evaluated. The original …

Asymmetry models for contingency tables

M Kateri, T Papaioannou - Journal of the American Statistical …, 1997 - Taylor & Francis
For the quasi-symmetry (QS) model, applicable to square contingency tables with
commensurable classification variables, it is proved that under certain conditions, it is the …

Kullback-Leibler information type measure of departure from conditional symmetry and decomposition of measure from symmetry for contingency tables

S Tomizawa, K Saitoh - Calcutta Statistical Association …, 1999 - journals.sagepub.com
For the analysis of square contingency tables, Tomizawa (1994) and Tobmizawa (1995)
considered the Kullback-Leibler (KL) information type measures to represent the degree of …

A bivariate index vector to measure departure from quasi-symmetry for ordinal square contingency tables

S Ando - Austrian Journal of Statistics, 2021 - ajs.or.at
This study proposes a bivariate index vector to concurrently analyze both the degree and
direction of departure from the quasi-symmetry (QS) model for ordinal square contingency …

A class of ordinal quasi-symmetry models for square contingency tables

M Kateri, A Agresti - Statistics & Probability Letters, 2007 - Elsevier
Kateri and Papaioannou [1997. Asymmetry models for contingency tables. J. Amer. Statist.
Assoc. 92, 1124–1131] proved that, under certain conditions, quasi-symmetry is the closest …

A bivariate index vector for measuring departure from double symmetry in square contingency tables

S Ando, K Tahata, S Tomizawa - Advances in Data Analysis and …, 2019 - Springer
For square contingency tables, a double symmetry model having a matrix structure that
combines both symmetry and point symmetry was proposed. Also, an index which …

Decomposition of symmetry into ordinal quasi-symmetry and marginal equimoment for multi-way tables

H Yamamoto, T Iwashita, S Tomizawa - Austrian Journal of Statistics, 2007 - ajs.or.at
For the analysis of square contingency tables with ordered categories, Agresti (1983)
introduced the linear diagonals-parameter symmetry (LDPS) model. Tomizawa (1991) …

Generalised quasi‐symmetry models for ordinal contingency tables

M Kateri, A Gottard, C Tarantola - Australian & New Zealand …, 2017 - Wiley Online Library
This paper extends the ordinary quasi‐symmetry (QS) model for square contingency tables
with commensurable classification variables. The proposed generalised QS model is …

[HTML][HTML] Orthogonal decomposition of symmetry model using the ordinal quasi-symmetry model based on f-divergence for square contingency tables

Y Saigusa, K Tahata, S Tomizawa - Statistics & Probability Letters, 2015 - Elsevier
For square contingency tables, Caussinus (1965) considered the quasi-symmetry (QS)
model. Kateri and Agresti (2007) considered the ordinal quasi-symmetry (OQS [f]) model …