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SUMMARY:Minimal sample size in balanced ANOVA models and its calculation u
sing the R package ``miniSize''
DTSTART:20220628T095000Z
DTEND:20220628T101000Z
DTSTAMP:20240224T221100Z
UID:indico-contribution-256@conferences.enbis.org
DESCRIPTION:Speakers: Bernhard Spangl (University of Natural Resources and
Life Sciences\, Vienna)\n\nWe consider balanced one-way\, two-way\, and t
hree-way ANOVA models to test the hypothesis that the fixed factor A has n
o effect. The other factors are fixed or random. We determine the noncentr
ality parameter for the exact F-test\, describe its minimal value by a sha
rp 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\,\ni.e. th
e minimal number of experiments needed. Additionally\, we provide a struct
ural result for the minimal sample size that we call "pivot" effect (cf. a
lso Spangl et al.\, 2021). We further present the newly developed R packag
e "miniSize" and give some examples of how to use its functionality to cal
culate the minimal sample size.\n\nReference:\nSpangl\, B.\, Kaiblinger\,
N.\, Ruckdeschel\, P. & Rasch\, D. (2021).\nMinimal sample size in balance
d ANOVA models of crossed\, nested\, and mixed classifications. \nCommunic
ations in Statistics - Theory and Methods\,\nDOI:10.1080/03610926.2021.193
8126\n\nhttps://conferences.enbis.org/event/18/contributions/256/
LOCATION:EL6
RELATED-TO:indico-event-18@conferences.enbis.org
URL:https://conferences.enbis.org/event/18/contributions/256/
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