Identification of influential cells in the analysis of ordinal square tables

For square tables arising from ordinal categorical variables which can be considered as manifestations of underlying continuous variables, it is possible to model the underlying continuous variables in a form that facilitates the comparison of their relative locations and dispersions. An efficient estimation method for such a model is available in the literature and the object of this paper is to develop an influence analysis procedure to accompany the estimation method. The local influence approach is used to obtain the diagnostic measures, and real data sets are analysed to illustrate the practicability of the proposed measures.