# zbMATH — the first resource for mathematics

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
Full Text:
##### 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
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.