The Student t Distribution

Usage

dt(x, df)
pt(q, df, ncp=0)
qt(p, df)
rt(n, df)

Arguments

x,q vector of quantiles.
p vector of probabilities.
n number of observations to generate.
df,ncp degrees of freedom and non-centrality parameter.

Description

These functions provide information about the t distribution with df degrees of freedom (and optional noncentrality parameter ncp). dt gives the density, pt gives the distribution function, qt gives the quantile function and rt generates random deviates.

The t distribution with df = 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.

Examples

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


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