How is the F-statistic calculated in an ANOVA test?

  • It is the difference between between-group variance and within-group variance
  • It is the ratio of between-group variance to within-group variance
  • It is the ratio of within-group variance to between-group variance
  • It is the sum of between-group variance and within-group variance
In an ANOVA test, the F-statistic is calculated as the ratio of the between-group variance (mean sum of squares between groups) to the within-group variance (mean sum of squares within groups). A larger F-statistic implies a greater degree of difference between the group means.
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