Abstract
In many experimental situations we need to test the hypothesis concerning the equality of parameters of two or more binomial populations. Of special interest is the knowledge of the sample sizes needed to detect certain differences among the parameters, for a specified power, and at a given level of significance. Al-Bayyati (1971) derived a rule of thumb for a quick calculation of the sample size needed to compare two binomial parameters. The rule is defined in terms of the difference desired to be detected between the two parameters. In this paper, we introduce a generalization of Al-Bayyatifs rule to several independent proportions. The generalized rule gives a conservative estimate of the sample size needed to achieve a specified power in detecting certain differences among the binomial parameters at a given level of significance. The method is illustrated with an example
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