Khan Academy: ANOVA

Question 1

How is F-statistic used for hypothesis testing?

Answer 1

F-statistic is for the analysis of variance. It seeks to find if the total variation in multiple groups is caused more by the variation within the group or the variation between the groups.
If it’s caused mostly by the variation between the groups, then we can reject the Ho which implies no difference between the group variations

Ref

Question 2

What’s Analysis of Variance?

Answer 2

Analysis of variance, also called ANOVA, is a collection of methods for comparing multiple means across different groups.