Moment Symmetry Models and Decompositions of Symmetry for Multi-way Contingency Tables

• Published in: Bulletin - Calcutta Statistical Association Vol. 71; no. 2; pp. 83 - 98
• Main Authors: Yoshimoto, Takuya, Tahata, Kouji, Iki, Kiyotaka, Tomizawa, Sadao
• Format: Journal Article
• Language: English; Japanese
• Published: New Delhi, India SAGE Publications 01.11.2019
• Subjects: square contingency table; Decomposition; Covariance; symmetry; moment

Abstract For square contingency tables, Caussinus[1] demonstrated that the symmetry model holds if and only if both the quasi-symmetry and marginal homogeneity models hold. Bishop, Fienberg, and Holland[2, p. 307] and Bhapkar and Darroch[3] provided similar theorems for multi-way tables. The present...