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Minimal experimental size in the three way ANOVA cross classification model with approximate F-tests. (English) Zbl 06137789
Summary: We consider a case of the three-way ANOVA where for testing the equality of the main effects of some fixed factor no exact F-test exists. For an approximate F-test the problem of finding the minimal size of the experiment so that given precision requirements are fulfilled is approximately solved.Our solutions have been found and tested by simulation experiments.

MSC:
62K Design of statistical experiments
62J Linear inference, regression
Software:
OPDOE; R; snow; Snow; snowfall
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References:
[1] Knaus , J. ( 2008 ).snowfall: Easier cluster computing. R package version 1.70 .
[2] R: A Language and Environment for Statistical Computing (2009)
[3] Rasch D., Optimal Experimental Design with R (2011) · Zbl 1237.62096
[4] DOI: 10.2307/3002019 · doi:10.2307/3002019
[5] Tierney , L. , Rossini , A. , Li , N. , Sevcikova , H. ( 2008 ).snow: Simple Network of Workstations. Rpackageversion 0.3-3 .
[6] Wang M., Sample Size and Efficiency for Hypothesis Testing in ANOVA Models (2002)
[7] DOI: 10.1016/j.jspi.2004.06.022 · Zbl 1075.62058 · doi:10.1016/j.jspi.2004.06.022
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