

   TThhee SSttuuddeenntt tt DDiissttrriibbuuttiioonn

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

   AArrgguummeennttss::

        x,q: vector of quantiles.

          p: vector of probabilities.

          n: number of observations to generate.

     df,ncp: degrees of freedom and non-centrality parameter.

   DDeessccrriippttiioonn::

        These functions provide information about the t distri-
        bution with `df' degrees of freedom (and optional non-
        centrality 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.

   SSeeee AAllssoo::

        `df' for the F distribution.

   EExxaammpplleess::

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

