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Function Reference: fpdf

statistics: y = fpdf (x, df1, df2)

F-probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the F-distribution with df1 and df2 degrees of freedom. The size of y is the common size of x, 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, finv, frnd, fstat

Source Code: fpdf

Example: 1

Plot various PDFs from the F distribution

 x = 0.01:0.01:4;
 y1 = fpdf (x, 1, 1);
 y2 = fpdf (x, 2, 1);
 y3 = fpdf (x, 5, 2);
 y4 = fpdf (x, 10, 1);
 y5 = fpdf (x, 100, 100);
 plot (x, y1, '-b', x, y2, '-g', x, y3, '-r', x, y4, '-c', x, y5, '-m')
 grid on
 ylim ([0, 2.5])
 legend ({'df1 = 1, df2 = 2', 'df1 = 2, df2 = 1', ...
          'df1 = 5, df2 = 2', 'df1 = 10, df2 = 1', ...
          'df1 = 100, df2 = 100'}, 'location', 'northeast')
 title ('F PDF')
 xlabel ('values in x')
 ylabel ('density')
plotted figure