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In the present article, we shall present two different methods for obtaining simultaneous confidence intervals for judging contrasts among multinomial populations, and we shall compare the intervals obtained by these methods with the simultaneous confidence intervals obtained earlier by Gold [5] for all linear functions of multinomial probabilities. One of the methods presented herein is particularly suited to the situation where all contrasts among, say, I multinomial populations may be of interest, where each population consists of, say, J classes. The other method presented herein is suited to certain situations where a specific set of contrasts among these populations is of interest; e.g., where, for each of the 1/2I(I - 1) pairs of populations, the J contrasts between the corresponding probabilities associated with the twopopulations in the pair are of interest. For judging all contrasts among the I multinomial populations …