1.2.3-SNAPSHOT permalink Arrow_down_16x16
  • (pdf-f x & options)
Returns the F pdf of the given value, x. It will return a sequence
of values, if x is a sequence. This is equivalent to R's df function.

Options:
:df1 (default 1)
:df2 (default 1)

See also:
cdf-f and quantile-f

References:
http://en.wikipedia.org/wiki/F_distribution
http://mathworld.wolfram.com/F-Distribution.html
http://en.wikipedia.org/wiki/Probability_density_function

Example:
(pdf-f 1.0 :df1 5 :df2 2)

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Plus_12x12 Minus_12x12 Source incanter/stats.clj:81 top

(defn pdf-f
" Returns the F pdf of the given value, x. It will return a sequence
  of values, if x is a sequence. This is equivalent to R's df function.

  Options:
    :df1 (default 1)
    :df2 (default 1)

  See also:
      cdf-f and quantile-f

  References:
      http://en.wikipedia.org/wiki/F_distribution
      http://mathworld.wolfram.com/F-Distribution.html
      http://en.wikipedia.org/wiki/Probability_density_function

  Example:
      (pdf-f 1.0 :df1 5 :df2 2)
"
  ([x & options]
    (let [opts (when options (apply assoc {} options))
          df1 (or (:df1 opts) 1)
          df2 (or (:df2 opts) 1)
          pdf-fx (fn [x]
                   (* (/ (gamma (/ (+ df1 df2) 2))
                         (* (gamma (/ df1 2)) (gamma (/ df2 2))))
                       (pow (/ df1 df2) (/ df1 2))
                       (pow x (- (/ df1 2) 1))
                       (pow (+ 1 (* (/ df1 df2) x))
                           (- 0 (/ (+ df1 df2) 2)))))
         ]
      (if (coll? x)
        (map pdf-fx x)
        (pdf-fx x)))))
Vars in incanter.stats/pdf-f: coll? defn let map
Used in 0 other vars

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