What does the F-statistic signify in an ANOVA test?
- The ratio of between-group variability to within-group variability
- The ratio of total variability to within-group variability
- The ratio of within-group variability to between-group variability
- The ratio of within-group variability to total variability
In an ANOVA test, the F-statistic is the ratio of the between-group variability to the within-group variability. In other words, it measures how much the means of each group vary between the groups, compared to how much they vary within each group. A larger F-statistic implies a greater degree of difference between the group means.
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