T {base} | R Documentation |
These functions provide information about the t distribution with
df
degrees of freedom. dt
gives the density, pt
gives the distribution function, qt
gives the quantile function
and rt
generates random deviates.
The t distribution with n
degrees of freedom has density
f(x) =
\frac{\Gamma ((n+1)/2)}{\sqrt{\pi n} \Gamma (n/2)}
(1 + x^2/n)^{-(n+1)/2}
for all real x
.
dt(x, df)
pt(q, df)
qt(p, df)
rt(n, df)
df
for the F distribution which generalizes the t one.
1 - pt(1:5, df = 1)
qt(.975, df = c(1:10,20,50,100,1000))