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a b s t R a c t This paper describes two new methods for comparing two independent, discrete distributions, when the sample space is small, using an extension of the Storer–Kim method for comparing independent binomials. These methods are relevant, for example, when comparing groups based on a Likert scale, which was the motivation for the paper. In essence, the goal is to test the hypothesis that the cell probabilities associated with two independent multinomial distributions are equal. Both a global test and a multiple comparison procedure are proposed. The small-sample properties of both methods are compared to four other techniques via simulations: Cliff’s generalization of the Wilcoxon–Mann–Whitney test that effectively deals with heteroscedasticity and tied values, Yuen’s test based on trimmed means, Welch’s test and Student’s t test. For the simulations, data were generated

Comparing discrete distributions when the sample space is small