# COLLAPSED SYMMETRY MODEL AND ITS DECOMPOSITION FOR MULTI-WAY TABLES WITH ORDERED CATEGORIES

@inproceedings{Tahata2008COLLAPSEDSM, title={COLLAPSED SYMMETRY MODEL AND ITS DECOMPOSITION FOR MULTI-WAY TABLES WITH ORDERED CATEGORIES}, author={Kouji Tahata and Akira Takazawa}, year={2008} }

- Published 2008
DOI:10.14490/jjss.38.325

For r × r tables with ordered categories, Tomizawa (1995) considered the collapsed symmetry model. This model indicates the structure of symmetry for the r− 1 ways of collapsing the r× r table into a 2× 2 table by choosing cut points after the u-th row and after the u-th column for u = 1, . . . , r − 1. This paper proposes a collapsed symmetry (C) model for multi-way tables with ordered categories. The proposed model is an extension of the complete symmetry model and a special case of the… CONTINUE READING