T

Syntax: T(N, T)

N = a numeric value
T = a numeric value

T returns the integral of Student's T-distribution with N degrees of freedom from minus infinity to T. The function is given by:

$$T(n,t) = \int_{-\infty}^t \frac{\Gamma \left( \frac{n+1}{2... ...\right)} \left( 1 + \frac{z^2}{2} \right)^{-\frac{n+1}{n}} dz$$

Examples:

T(14, 35) = 1

T(F3, G6) = 0.8411029, where F3 = 500, and G6 = 1

T(C1, C2) = Error - degrees of freedom must be $>$ 0, where C1 = 0 and C2 = -1

Excel function: N/A