# 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.

Also know, 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.

**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.

Simply so, 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.

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.