Quasi point-symmetry models based on f-divergence and decomposition of point-symmetry for multi-way contingency tables
T Yoshimoto, K Tahata, Y Saigusa… - SUT journal of …, 2019 - projecteuclid.org
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 …
(QP) model and the marginal point-symmetry (MP) model, and gave the theorem that the …
Orthogonal decomposition of point-symmetry for multiway tables
K Tahata, S Tomizawa - AStA Advances in Statistical Analysis, 2008 - Springer
For multiway contingency tables, Wall and Lienert (Biom. J. 18: 259–264, 1976) considered
the point-symmetry model. For square contingency tables, Tomizawa (Biom. J. 27: 895–905 …
the point-symmetry model. For square contingency tables, Tomizawa (Biom. J. 27: 895–905 …
Measure of departure from marginal point-symmetry for two-way contingency tables
K Yamamoto, K Tahata, M Suzuki, S Tomizawa - Statistica, 2011 - rivista-statistica.unibo.it
For two-way contingency tables, Tomizawa (1985) considered the point-symmetry and
marginal point-symmetry models, and Tomizawa, Yamamoto and Tahata (2007) proposed a …
marginal point-symmetry models, and Tomizawa, Yamamoto and Tahata (2007) proposed a …
Orthogonal decomposition of point-symmetry model for two-way contingency tables
S Tomizawa - Journal of Statistical Planning and Inference, 1993 - Elsevier
For the analysis of two-way contingency tables, this paper presents a note on a useful
decomposition of the likelihood ratio (LR) statistic for the point-symmetry (PS) model. The PS …
decomposition of the likelihood ratio (LR) statistic for the point-symmetry (PS) model. The PS …
Double symmetry model and its orthogonal decomposition for multi-way tables
K Yamamoto, F Takahashi… - SUT Journal of …, 2012 - projecteuclid.org
For two-way contingency tables, Tomizawa (1985b) gave a theorem that the double
symmetry (DS) model holds if and only if both the quasi DS and the marginal DS models …
symmetry (DS) model holds if and only if both the quasi DS and the marginal DS models …
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 …
type measure to represent the degree of departure from the quasi-symmetry (QS) model. We …
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 …
Suzuki, and Tomizawa (2011) considered a measure to represent the degree of departure …
Moment symmetry models and decompositions of symmetry for multi-way contingency tables
T Yoshimoto, K Tahata, K Iki… - Calcutta Statistical …, 2019 - journals.sagepub.com
For square contingency tables, Caussinus demonstrated that the symmetry model holds if
and only if both the quasi-symmetry and marginal homogeneity models hold. Bishop …
and only if both the quasi-symmetry and marginal homogeneity models hold. Bishop …
Point-symmetry models and decomposition for collapsed square contingency tables
K Yamamoto, S Murakami… - Journal of Applied Statistics, 2013 - Taylor & Francis
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 …
wants to analyze them by considering collapsed tables with some adjacent categories …
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 …
387–393, considered the conditional point symmetry model. Kurakami et al., J. Stat. Adv …
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