Volume no :14, Issue no: 2, December (2015)

Journal of Statistics: Advances in Theory and Applications

ORDINAL QUASI POINT-SYMMETRY AND DECOMPOSITION OF POINT-SYMMETRY FOR CROSS-CLASSIFICATIONS

Author's: Kouji Tahata and Sadao Tomizawa
Pages: [181] - [194]
Received Date: November 2, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jsata_7100121574

Abstract

For cross-classifications with ordered categories, the present paper proposes the ordinal quasi point-symmetry model that indicates the structure of asymmetry for cell probabilities with respect to the center point or center cell in the table. It also gives the orthogonal decomposition of the point-symmetry model into the proposed model and the marginal mean point-symmetry model. An example is given.

Keywords

orthogonal decomposition, point-symmetry, quasi point-symmetry.