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Selected Publication:

Spangl, B; Kaiblinger, N; Ruckdeschel, P; Rasch, D.
(2023): Minimal sample size in balanced ANOVA models of crossed, nested, and mixed classifications
COMMUN STAT-THEOR M. 2023; 52(6): 1728-1743. FullText FullText_BOKU

Abstract:
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. 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, i.e. the minimal number of experiments needed. We also provide a structural result for the minimum sample size, proving a conjecture on the optimal experimental design.
Authors BOKU Wien:
Kaiblinger Norbert
Rasch Dieter
Spangl Bernhard

Find related publications in this database (Keywords)
ANOVA
F-test
crossed classification
nested classification
mixed classification
power
experimental size determination
62K
62J


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