Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables

Abstract

: For square contingency tables, a symmetry of conditional probability in part of the off-diagonal cells is considered with respect to the main diagonal. A measure is proposed to represent the degree of departure from the symmetric structure and gives the approximate confidence interval. Some numerical experiments are performed to illustrate the validity and usefulness of the proposed measure. Japanese occupational data are analyzed using the measure.