How does this video define the F statistic in words?

Conditions

• One has separated total variance into between-group and within-group components.

Reasoning, step by step

1. Figure out how much of the total variance comes from between-groups variance.
2. Figure out how much of the total variance comes from within-groups variance.
3. Take the ratio of the between-groups variance and the within-groups variance.

Example

Formula shown as F = between groups / within groups.

Common misconceptions

• Confusing the F statistic with a simple difference between group means.

Watch the explanation

Explore next

• What does the F ratio mean in the ANOVA explanation?
• Why does a larger between-groups to within-groups ratio support rejecting the null hypothesis?