TITLE:
Decomposition of Point-Symmetry Using Ordinal Quasi Point-Symmetry for Ordinal Multi-Way Tables
AUTHORS:
Yusuke Saigusa, Kouji Tahata, Sadao Tomizawa
KEYWORDS:
Decomposition, Multi-Way Table, Ordinal Quasi Point-Symmetry, Point-Symmetry
JOURNAL NAME:
Open Journal of Statistics,
Vol.6 No.3,
June
8,
2016
ABSTRACT: For multi-way tables with ordered
categories, the present paper gives a decomposition of the point-symmetry model
into the ordinal quasi point-symmetry and equality of point-symmetric marginal
moments. The ordinal quasi point-symmetry model indicates asymmetry for cell
probabilities with respect to the center point in the table.