DIAGONALS-PARAMETER SYMMETRY MODEL FOR CUMULATIVE PROBABILITIES IN SQUARE CONTINGENCY-TABLES WITH ORDERED CATEGORIES

For the analysis of square contingency tables with ordered categories, Goodman (1979, Biometrika 66, 413418) considered the diagonals-parame ter symmetry (DPS) model, which has a multiplicative form for cell pro babilities. This paper proposes another DPS model which has a similar multiplicative form for cumulative probabilities that an observation w ill fall in row (column) category i or below and column (row) category j (>i) or above. Special cases of the proposed model include conditio nal symmetry and symmetry. The relationship with a stochastic ordering for marginal distributions is also described. Moreover, the relations hips between the proposed model and the (generalized) palindromic symm etry models are described. An example is given.