This help topic is for R version 0.60. For the current version of R, try https://stat.ethz.ch/R-manual/R-patched/library/base/html/F.html
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)

[Package base version 0.60 ]