There is no single formula.
It is necessary to calculate the total sum of squares and the regression sum of squares. These are used to calculate the residual sum of squares. The next step is to use the appropriate degrees of freedom to calculate the mean regression sum of squares and the mean residual sum of squares.
The ratio of these two is distributed as Fisher's F statistics with the degrees of freedom which were used to obtain the average sums of squares. The ratio is compared with published values of the F-statistic since there is no simple analytical form for the integral.
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The short answer is ANOVA is not one-tailed.
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?
ANOVA test null hypothesis is the means among two or more data sets are equal.
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
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.