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arXiv · 1910.02722

Minimal sample size in balanced ANOVA models of crossed, nested, and mixed classifications

Bernhard Spangl·Norbert Kaiblinger·Peter Ruckdeschel·Dieter Rasch
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Abstract

We consider balanced one-, two- and three-way ANOVA models to test the hypothesis that the fixed factor A has no effect. The other factors are fixed or random. We determine the noncentrality parameter for the exact F-test, describe its minimal value by a sharp lower bound, and thus we can guarantee the worst case power for the F-test. These results allow us to compute the minimal sample size. We also provide a structural result for the minimum sample size, proving a conjecture on the optimal experimental design.

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Bernhard Spangl, Norbert Kaiblinger, Peter Ruckdeschel, Dieter Rasch. 2019-10-07. Minimal sample size in balanced ANOVA models of crossed, nested, and mixed classifications. https://doi.org/10.1080/03610926.2021.1938126

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