Use this page to visualize the F distribution with various degrees of freedom and compare it with the Normal distribution. You can also find, approximately, what is the area under the curve between any two points.
We display below the probability density function for the F-distribution.
Enter the the value for the number of degrees of freedom for `df_n` (from 1 to 100) and for `df_d` (from 1 to 100) to see variations of the density function with degrees of freedom.
The F-distribution distribution is given by the following pdf : ` frac{(frac{df_n}{df_d})^frac{df_n}{2}}{beta(frac{df_n}{2},frac{df_d}{2})}x^{frac{df_n-2}{2}}(1+frac{df_n}{df_d}x)^(-frac{df_n+df_d}{2})` for `x ge 0` and 0 otherwise.
Where `beta(x,y)= int_0^1t^{x-1}(1-t)^{y-1}dt ` is the Beta function and `df_n` stands for degrees of freedom of the numerator and `df_d` stands for degrees of freedom of the denomiantor .