The analysis of response error models for categorical data that form an r x r contingency table is considered. Individuals are placed in the row and column classes on the basis of two interviews. It is assumed that the errors in the row and in the column classifications are independent. It is also assumed that the error in the classification of an individual depends only on the individual's true class. A parametric model for the probability that an individual belonging to the i-th class is classified in the j-th class is proposed.