Measure of Departure from Diamond Model and Its Application to Unaided Vision Data

Abstract

For the analysis of square contingency tables with the same ordered row and column classifications Goodman (1985) considered the diamond (DD) model. This paper proposes a measure to represent the degree of departure from the DD model. The measure is somewhat similar to Goodman and Kruscal’s(1954) gamma measure. It is applied to two kinds of unaided distance vision data. For these data, the degrees and the patterns of departure from the DD model are compared.