F-Distribution PDF Calculator

F‑Distribution PDF Calculator

Calculate the PDF for an F‑distribution with degrees of freedom $ d_1 $ and $ d_2 $: $$ f(x; d_1, d_2) = \frac{\Gamma\left(\frac{d_1+d_2}{2}\right)}{\Gamma\left(\frac{d_1}{2}\right)\Gamma\left(\frac{d_2}{2}\right)}\left(\frac{d_1}{d_2}\right)^{\frac{d_1}{2}} \frac{x^{\frac{d_1}{2}-1}}{\Bigl(1+\frac{d_1}{d_2}x\Bigr)^{\frac{d_1+d_2}{2}}}. $$

* Enter the F‑value (x), numerator degrees of freedom ($d_1$), and denominator degrees of freedom ($d_2$).

Step 1: Enter Parameters

F‑value, $ x $:

e.g., 1

Numerator Degrees of Freedom, $ d_1 $:

e.g., 5

Denominator Degrees of Freedom, $ d_2 $:

e.g., 10

Step 1: Enter Parameters

Calculated F‑Distribution PDF