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A b s t r a c tThe row-wise and/or the column-wise multiple comparison procedure is introduced for analysing twoway tables. It leads to a block interaction model and is particularly useful when one factor is indicative or variational in the usual analysis of variance model. The procedure is also useful for comparing multinomials or detecting a change point in the sequence of multinomials, where the row-wise and/or the colum-wise comparisons are essential. A two-way change point model is newly introduced when there are natural orderings in both of rows and columns.