t-Distribution CDF Calculator

t‑Distribution CDF Calculator

Calculate the cumulative probability for a t‑distributed variable: $$ F(t;\nu)= \begin{cases} 1-\frac{1}{2}I_{\frac{\nu}{t^2+\nu}}\Bigl(\frac{\nu}{2},\frac{1}{2}\Bigr) & t\ge0,\\[1ex] \frac{1}{2}I_{\frac{\nu}{t^2+\nu}}\Bigl(\frac{\nu}{2},\frac{1}{2}\Bigr) & t<0. \end{cases} $$

* Enter a t‑value and degrees of freedom (\( \nu \)).

Step 1: Enter Parameters

e.g., 0

e.g., 10

Formula: $$ F(t;\nu)= \begin{cases} 1-\frac{1}{2}I_{\frac{\nu}{t^2+\nu}}\Bigl(\frac{\nu}{2},\frac{1}{2}\Bigr) & t\ge0,\\[1ex] \frac{1}{2}I_{\frac{\nu}{t^2+\nu}}\Bigl(\frac{\nu}{2},\frac{1}{2}\Bigr) & t<0. \end{cases} $$

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