Given this method comment, fill in the blank in the method implementation. 
Definitions:
F-ratio
A statistical measure used in the analysis of variance (ANOVA), calculated by dividing the variance among group means by the variance within the groups.
Null Hypothesis
A default hypothesis that there is no effect or no difference, used as a starting point for statistical significance testing.
Analytical Comparisons
Comparisons between groups that are part of a larger research design.
Specific Hypothesis
A precise statement or prediction about the relationship between two or more variables that can be tested.
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