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The Student t Distribution

Usage

dt(x, df)
pt(q, df)
qt(p, df)
rt(n, df)

Description

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) = Gamma((n+1)/2) / (sqrt(n pi) Gamma(n/2)) (1 + x^2/n)^-((n+1)/2)

for all real x.

See Also

df for the F distribution which generalizes the t one.

Examples

1 - pt(1:5, df = 1)
qt(.975, df = c(1:10,20,50,100,1000))