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We consider balanced one-way, two-way, and three-way ANOVA models to test the hypothesis that the fixed factor A has no effect. The other factors are fixed or random. For most of these models (including all balanced 1-way and 2-way ANOVA models) an exact F-test exists.
Given a prespecified power, miniSize allows the user to compute the minimal sample size of the above mentioned ANOVA models, i.e. the minimal number of experiments needed.
This is achieved by the determination of the noncentrality parameter for the exact F-test, a description of its minimal value by a sharp lower bound, and thus a guarantee of the worst-case power for the F-test. Additionally, we provide a structural result for the minimal sample size that we call "pivot" effect.
We will present the newly developed R package "miniSize" and give some examples of how to use its functionality to calculate the minimal sample size.