Function invFisherCDFR

Inverse of complemented Fisher distribution

double invFisherCDFR (
  double df1,
  double df2,
  double p
);

Finds the F density argument x such that the integral from x to infinity of the F density is equal to the given probability p.

This is accomplished using the inverse beta integral function and the relations

z = betaIncompleteInverse( df2/2, df1/2, p ), x = df2 (1-z) / (df1 z).

Note that the following relations hold for the inverse of the uncomplemented F distribution:

z = betaIncompleteInverse( df1/2, df2/2, p ), x = df2 z / (df1 (1-z)).