Measure of Departure from Point-Symmetry for Two-Way Contingency Tables with Ordered Categories (Published)

For the analysis of two-way contingency tables, the present paper proposes a measure to represent the degree of departure from the point-symmetry for two-way contingency tables with ordered categories. This measure depends on the order of listing the categories. This measure is defined by the cumulative probabilities and expressed by using the Cressie and Read’s (1984) power-divergence or Patil and Taillie’s (1982) diversity index. It would be useful for comparing the degree of departure from point-symmetry in several tables. An example is given.

Keywords: Kullback-Leibler Information, Measure, Ordered category, Point-symmetry, Power-divergence.