# Why is F statistic positive?

**F statistic**is the degrees of freedom for the numerator. Because variances are always

**positive**, both the numerator and the denominator for

**F**must always be

**positive**. Hence,

**F**must always be

**positive**.

Keeping this in view, what does the F statistic tell you?

An **F statistic** is a value **you** get when **you** run an ANOVA test or a regression analysis to find out if the means between two populations are significantly different.

**F**-

**Statistic**: Ratio of Between-Groups to Within-Groups Variances.

**F**-

**statistics**are the ratio of two variances that are approximately the same

**value**when the null hypothesis is true, which yields

**F**-

**statistics**near 1. We looked at the two different variances used in a one-way

**ANOVA F**-

**test**.

People also ask, why is F distribution positively skewed?

A **distribution** is **positively skewed** if the mean is greater than the median. This shows that the **distribution** of household incomes is **positively skewed**. The shape of the **F**-**distribution** varies with its degrees of freedom (df).

**Interpreting** the Overall **F**-test of Significance Compare the p-**value** for the **F**-test to your significance level. If the p-**value** is less than the significance level, your sample data provide sufficient evidence to conclude that your regression model fits the data better than the model with no independent variables.