| F {base} | R Documentation |
The F Distribution
Usage
df(x, n1, n2)
pf(q, n1, n2)
qf(p, n1, n2)
rf(n, n1, n2)
Value
These functions provide information about the F distribution with
n1 and n2 degrees of freedom.
df gives the density,
pf gives the distribution function
qf gives the quantile function
and
rf generates random deviates.
The F distribution with n_1 and n_2 degrees of
freedom has density
f(x) =
\frac{\Gamma(n_1/2 + n_2/2)}{\Gamma(n_1/2)\Gamma(n_2/2)}
\left(\frac{n_1}{n_2}\right)^{n_1/2}
x^{n_1/2-1}
\left(1 + \frac{n_1 x}{n_2}\right)^{-(n_1 + n_2) / 2}
for x > 0.
See Also
dt for Student's t distribution which is (almost)
equivalent to *f(..., n2 = 1).
Examples
df(1,1,1) == dt(1,1)