F Distribution PDF Calculator

For the F distribution with degrees of freedom \( d_1 \) and \( d_2 \), the probability density function is given by: $$ f(x; d_1, d_2) = \frac{1}{B\left(\frac{d_1}{2},\frac{d_2}{2}\right)} \left(\frac{d_1}{d_2}\right)^{\frac{d_1}{2}} x^{\frac{d_1}{2}-1} \left(1 + \frac{d_1}{d_2}x\right)^{-\frac{d_1+d_2}{2}}. $$

* Enter the F-value (\( x \)) and the degrees of freedom (\( d_1 > 0 \) and \( d_2 > 0 \)).

Step 1: Enter Parameters

e.g., 1

e.g., 5

e.g., 10

Formula: $$ f(x; d_1, d_2) = \frac{1}{B\left(\frac{d_1}{2},\frac{d_2}{2}\right)} \left(\frac{d_1}{d_2}\right)^{\frac{d_1}{2}} x^{\frac{d_1}{2}-1} \left(1 + \frac{d_1}{d_2}x\right)^{-\frac{d_1+d_2}{2}}. $$

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