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Function Reference: finv

statistics: x = finv (p, df1, df2)

Inverse of the F-cumulative distribution function (iCDF).

For each element of p, compute the quantile (the inverse of the CDF) of the F-distribution with df1 and df2 degrees of freedom. The size of x is the common size of p, df1, and df2. A scalar input functions as a constant matrix of the same size as the other inputs.

Further information about the F-distribution can be found at https://en.wikipedia.org/wiki/F-distribution

See also: fcdf, fpdf, frnd, fstat

Source Code: finv

Example: 1

 

 ## Plot various iCDFs from the F distribution
 p = 0.001:0.001:0.999;
 x1 = finv (p, 1, 1);
 x2 = finv (p, 2, 1);
 x3 = finv (p, 5, 2);
 x4 = finv (p, 10, 1);
 x5 = finv (p, 100, 100);
 plot (p, x1, "-b", p, x2, "-g", p, x3, "-r", p, x4, "-c", p, x5, "-m")
 grid on
 ylim ([0, 4])
 legend ({"df1 = 1, df2 = 2", "df1 = 2, df2 = 1", ...
          "df1 = 5, df2 = 2", "df1 = 10, df2 = 1", ...
          "df1 = 100, df2 = 100"}, "location", "northwest")
 title ("F iCDF")
 xlabel ("probability")
 ylabel ("values in x")

                    
plotted figure