A civil engineer is comparing the compressive strength of concrete cubes cured using $4$ different methods. A total of $24$ concrete cubes were tested ($6$ cubes per method).
The analysis of variance (ANOVA) calculation has yielded the following Sum of Squares (SS) values:
Sum of Squares Between Groups $\left(S{S}_B\right):600$
Sum of Squares Within Groups $\left(S{S}_W\right):400$
Based on this data, what is the value of the $F$-test statistic?