Measure of departure from point symmetry and decomposition of measure for square contingency tables

K Iki, S Tomizawa - Journal of Statistical Theory and Applications, 2020 - Springer
For square contingency tables with ordered categories, Tomizawa, Biometrica J. 28 (1986),
387–393, considered the conditional point symmetry model. Kurakami et al., J. Stat. Adv …

Decomposition of symmetry model into three models for cumulative probabilities in square contingency tables

K Tahata, K Yamamoto, S Tomizawa - European Journal of Pure and …, 2013 - ejpam.com
For square contingency tables with ordered categories, we decompose the symmetry model
into three models for cumulative probabilities. Three models are the cumulative two ratios …

Measure of departure from marginal average point-symmetry for two-way contingency tables

K Iki, S Tomizawa - Journal of Modern Applied Statistical Methods, 2018 - jmasm.com
For the analysis of two-way contingency tables with ordered categories, Yamamoto, Tahata,
Suzuki, and Tomizawa (2011) considered a measure to represent the degree of departure …

[HTML][HTML] Quasi-diagonal exponent symmetry model for square contingency tables with ordered categories

K Iki, K Yamamoto, S Tomizawa - Statistics & Probability Letters, 2014 - Elsevier
For square contingency tables, we propose a quasi-symmetry model with an exponential
form along subdiagonal and give the theorem that Tomizawa's (1992) diagonal exponent …

Sum-symmetry model and its orthogonal decomposition for square contingency tables with ordered categories

K Yamamoto, Y Tanaka… - SUT journal of Mathematics, 2013 - projecteuclid.org
For the analysis of square contingency tables, many kinds of symmetry models have
proposed. The present paper proposes a new kind of symmetry model, and gives a …

Ridit score type asymmetry model and decomposition of symmetry for square contingency tables

K Tahata, S Ando, S Tomizawa - Model Assisted Statistics and …, 2011 - content.iospress.com
For square contingency tables with ordered categories, Iki, Tahata and Tomizawa [12]
considered the ridit score type quasi-symmetry model. The present paper proposes an …

Extended linear asymmetry model and separation of symmetry for square contingency tables

K Tahata, M Naganawa, S Tomizawa - Journal of the Japan …, 2016 - jstage.jst.go.jp
For the analysis of square contingency tables with ordered categories, it may be useful for
applying some kinds of asymmetry model when the symmetry model does not hold. Tahata …

An extended asymmetry model for square contingency tables with ordered categories

Y Saigusa, K Tahata… - Model Assisted Statistics …, 2014 - content.iospress.com
For square contingency tables with ordered categories, McCullagh [6] considered the
palindromic symmetry model. The present paper proposes an extended palindromic …

A measure of departure from average symmetry for square contingency tables with ordered categories

K Tahata, K Yamamoto, N Nagatani… - Austrian Journal of …, 2009 - ajs.or.at
For the analysis of square contingency tables, Tomizawa (1994), Tomizawa, Seo, and
Yamamoto (1998), and Tomizawa, Miyamoto, and Hatanaka (2001) considered measures to …

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 …