X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fstatistics-1.1.3%2Ffstat.m;fp=octave_packages%2Fstatistics-1.1.3%2Ffstat.m;h=cd30a13b0045b8abfdc479226a1f8f6c125db2e2;hp=0000000000000000000000000000000000000000;hb=c880e8788dfc484bf23ce13fa2787f2c6bca4863;hpb=1705066eceaaea976f010f669ce8e972f3734b05 diff --git a/octave_packages/statistics-1.1.3/fstat.m b/octave_packages/statistics-1.1.3/fstat.m new file mode 100644 index 0000000..cd30a13 --- /dev/null +++ b/octave_packages/statistics-1.1.3/fstat.m @@ -0,0 +1,130 @@ +## Copyright (C) 2006, 2007 Arno Onken +## +## This program is free software; you can redistribute it and/or modify it under +## the terms of the GNU General Public License as published by the Free Software +## Foundation; either version 3 of the License, or (at your option) any later +## version. +## +## This program is distributed in the hope that it will be useful, but WITHOUT +## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or +## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more +## details. +## +## You should have received a copy of the GNU General Public License along with +## this program; if not, see . + +## -*- texinfo -*- +## @deftypefn {Function File} {[@var{mn}, @var{v}] =} fstat (@var{m}, @var{n}) +## Compute mean and variance of the F distribution. +## +## @subheading Arguments +## +## @itemize @bullet +## @item +## @var{m} is the first parameter of the F distribution. The elements +## of @var{m} must be positive +## +## @item +## @var{n} is the second parameter of the F distribution. The +## elements of @var{n} must be positive +## @end itemize +## @var{m} and @var{n} must be of common size or one of them must be scalar +## +## @subheading Return values +## +## @itemize @bullet +## @item +## @var{mn} is the mean of the F distribution. The mean is undefined for +## @var{n} not greater than 2 +## +## @item +## @var{v} is the variance of the F distribution. The variance is undefined +## for @var{n} not greater than 4 +## @end itemize +## +## @subheading Examples +## +## @example +## @group +## m = 1:6; +## n = 5:10; +## [mn, v] = fstat (m, n) +## @end group +## +## @group +## [mn, v] = fstat (m, 5) +## @end group +## @end example +## +## @subheading References +## +## @enumerate +## @item +## Wendy L. Martinez and Angel R. Martinez. @cite{Computational Statistics +## Handbook with MATLAB}. Appendix E, pages 547-557, Chapman & Hall/CRC, +## 2001. +## +## @item +## Athanasios Papoulis. @cite{Probability, Random Variables, and Stochastic +## Processes}. McGraw-Hill, New York, second edition, 1984. +## @end enumerate +## @end deftypefn + +## Author: Arno Onken +## Description: Moments of the F distribution + +function [mn, v] = fstat (m, n) + + # Check arguments + if (nargin != 2) + print_usage (); + endif + + if (! isempty (m) && ! ismatrix (m)) + error ("fstat: m must be a numeric matrix"); + endif + if (! isempty (n) && ! ismatrix (n)) + error ("fstat: n must be a numeric matrix"); + endif + + if (! isscalar (m) || ! isscalar (n)) + [retval, m, n] = common_size (m, n); + if (retval > 0) + error ("fstat: m and n must be of common size or scalar"); + endif + endif + + # Calculate moments + mn = n ./ (n - 2); + v = (2 .* (n .^ 2) .* (m + n - 2)) ./ (m .* ((n - 2) .^ 2) .* (n - 4)); + + # Continue argument check + k = find (! (m > 0) | ! (m < Inf) | ! (n > 2) | ! (n < Inf)); + if (any (k)) + mn(k) = NaN; + v(k) = NaN; + endif + + k = find (! (n > 4)); + if (any (k)) + v(k) = NaN; + endif + +endfunction + +%!test +%! m = 1:6; +%! n = 5:10; +%! [mn, v] = fstat (m, n); +%! expected_mn = [1.6667, 1.5000, 1.4000, 1.3333, 1.2857, 1.2500]; +%! expected_v = [22.2222, 6.7500, 3.4844, 2.2222, 1.5869, 1.2153]; +%! assert (mn, expected_mn, 0.001); +%! assert (v, expected_v, 0.001); + +%!test +%! m = 1:6; +%! [mn, v] = fstat (m, 5); +%! expected_mn = [1.6667, 1.6667, 1.6667, 1.6667, 1.6667, 1.6667]; +%! expected_v = [22.2222, 13.8889, 11.1111, 9.7222, 8.8889, 8.3333]; +%! assert (mn, expected_mn, 0.001); +%! assert (v, expected_v, 0.001);