Abstract

TAHATA, KOUJI  and  KOZAI, KEIGO. Measuring Degree of Departure from Extended Quasi-Symmetry for Square Contingency Tables. Rev.Colomb.Estad. [online]. 2012, vol.35, n.1, pp.55-65. ISSN 0120-1751.

For square contingency tables with ordered categories, the present paper proposes a measure to represent the degree of departure from the extended quasi-symmetry (EQS) model. It is expressed by using the Cressie-Read power-divergence or Patil-Taillie diversity index. The present paper also defines the maximum departure from EQS which indicates the maximum departure from the uniformity of ratios of symmetric odds-ratios. The measure lies between 0 and 1, and it is useful for not only seeing the degree of departure from EQS in a table but also comparing it in several tables.

Keywords : Contingency table; Kullback-Leibler information; Quasi-symmetry; Shannon entropy.

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