The short answer is ANOVA is not one-tailed.
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One-Way ANOVA is used to test the comparison of 3 or more samples alleviating the risk of having a wrong answer in doing each test separately. ANOVA is an acronym for ANalysis Of VAriance
In ANOVA, what does F=1 mean? What are the differences between a two sample t-test and ANOVA hypothesis testing? When would you use ANOVA at your place of employment, in your education, or in politics?
The Fisher F-test for Analysis of Variance (ANOVA).
An ANOVA is an analysis of the variation present in an experiment. It is a test of the hypothesis that the variation in an experiment is no greater than that due to normal variation of individuals' characteristics and error in their measurement.
ANOVA test null hypothesis is the means among two or more data sets are equal.