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A Multiplicative Model Imposed More Restrictions on the Quasi‐Symmetry Model for the Analysis of Square Contingency Tables
Author(s) -
Tomizawa Sadao
Publication year - 1991
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710330510
Subject(s) - contingency table , diagonal , symmetry (geometry) , square (algebra) , multiplicative function , mathematics , contingency , table (database) , computer science , statistics , mathematical analysis , geometry , data mining , philosophy , linguistics
For the analysis of square contingency tables, this note proposes a multiplicative model imposed more restrictions on C AUSSINUS ' (1965) quasi‐symmetry (QS) model. The model is not so strict as in the quasi‐double symmetry model considered by T OMIZAWA (1985b). The proposed model has the structure of the QS about the main diagonal plus an extended QS about the reverse diagonal of the square contingency table. The model is applied to the data on unaided vision of students in a university in Japan.