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 …

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 …

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 …

The analysis of symmetry and asymmetry: orthogonality of decomposition of symmetry into quasi-symmetry and marginal symmetry for multi-way tables

S Tomizawa, K Tahata - Journal de la Société française de statistique …, 2007 - numdam.org
For the analysis of square contingency tables, Caussinus (1965) proposed the
quasisymmetry model and gave the theorem that the symmetry model holds if and only if …

The decompositions for point symmetry models in two‐way contingency tables

S Tomizawa - Biometrical Journal, 1985 - Wiley Online Library
The decomposition for the complete point symmetry model in a rectangular contingency
table is shown. Also the respective decompositions for the local point symmetry model and …

Linear ordinal quasi-symmetry model and decomposition of symmetry for multi-way tables

K Tahata, H Yamamoto, S Tomizawa - Mathematical Methods of Statistics, 2011 - Springer
For multi-way tables with same categories, Bhapkar and Darroch [4] and Agresti [2], p. 440,
considered the general order quasi-symmetry model and the ordinal quasi-symmetry model …

A decomposition for the inclined point‐symmetry model in a square contingency table

S Tomizawa - Biometrical Journal, 1986 - Wiley Online Library
A Decomposition for the Inclined Pointâ•’Symmetry Model in a Square Contingency Table Page
1 I 1 Mom. J. (ll386) 3,371-380 A Decomposition for ,the Inclined Point- Symmetry Model in a …

Implementing point-symmetry models for square contingency tables having ordered categories in SAS

HB Lawal - Journal of the Italian Statistical Society, 2000 - Springer
In this paper, the class of point-symmetry models in a square contingency table discussed in
(Tomizawa, 1985; 1986a; 1986b) are implemented in SAS by employing the non-standard …

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) …

Measure of departure from partial symmetry for square contingency tables

Y Saigusa, K Tahata… - Journal of Mathematics and …, 2016 - tus.elsevierpure.com
For square contingency tables, the present paper newly considers the partial symmetry
model which indicates that there is a symmetric structure of probabilities for at least one of …