• Welcome! The new FreeMathHelp.com forum is live. We've moved from VB4 to Xenforo 2.1 as our underlying software. Hopefully you find the upgrade to be a positive change. Please feel free to reach out as issues arise -- things will be a little different, and minor issues will no doubt crop up.

ANOVA F-Test/ determining if group means differ


New member
Sep 27, 2009
An F?test is a ratio of variances. This may be used to test hypotheses about the equality of variances. However, the F?test is also used in ANOVA to test whether group means differ. Please explain how a statistic based on variances can be used to determine if a set of group means differ.

This is what I came up with. Any thoughts?

If the differences between the group means is large relative to the amount of variability in the scores, the group differences are probably significant. If, however, there is a lot of variability in the scores, then the difference between the group means will not seem so large, a non-significant difference.


Full Member
Dec 14, 2005
The t-test for group means assumes the variances are equal. The square of a t-statistic is an F-statistic.