# What does F ratio mean?

**F ratio is the ratio**of two

**mean**square values. If the null hypothesis is true, you expect

**F**to have a value close to 1.0 most of the time. A large

**F ratio**means that the variation among group means is more than you'd expect to see by chance.

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Accordingly, what is the F ratio?

The **F**-**ratio** is the **ratio** of the between group variance to the within group variance. It can be compared to a critical **F**-**ratio**, which is determined by rejecting or accepting the null hypothesis, which determines whether or not there are no differences between groups.

Similarly, can F value be less than 1? The short answer is that **F** is < **1** when there is more variance within groups **than** between. If **F value** is **less than one** this mean sum of squares due to treatments is **less than** sum. of squares due to error. Hence, there is no need to calculate **F** the null hypothesis is true all the samples are equally significant.

Considering this, what does a high F value mean?

If you get a **large f value** (one that is bigger than the **F** critical **value** found in a table), it means something is significant, while a small p **value** means all your results are significant. The **F** statistic just compares the joint effect of all the variables together.

What does an F value of 1 mean?

The **F**-distribution is used to quantify this likelihood for differing sample sizes and the confidence or significance we **would** like the answer to hold. A **value** of **F**=**1 means** that no matter what significance level we use for the test, we will conclude that the two variances are equal.