update packages

[CreaPhase.git] / octave_packages / m / statistics / tests / var_test.m

diff --git a/octave_packages/m/statistics/tests/var_test.m b/octave_packages/m/statistics/tests/var_test.m
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+## Copyright (C) 1995-2012 Kurt Hornik
+##
+## This file is part of Octave.
+##
+## Octave 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.
+##
+## Octave 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 Octave; see the file COPYING.  If not, see
+## <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {[@var{pval}, @var{f}, @var{df_num}, @var{df_den}] =} var_test (@var{x}, @var{y}, @var{alt})
+## For two samples @var{x} and @var{y} from normal distributions with
+## unknown means and unknown variances, perform an F-test of the null
+## hypothesis of equal variances.  Under the null, the test statistic
+## @var{f} follows an F-distribution with @var{df_num} and @var{df_den}
+## degrees of freedom.
+##
+## With the optional argument string @var{alt}, the alternative of
+## interest can be selected.  If @var{alt} is @code{"!="} or
+## @code{"<>"}, the null is tested against the two-sided alternative
+## @code{var (@var{x}) != var (@var{y})}.  If @var{alt} is @code{">"},
+## the one-sided alternative @code{var (@var{x}) > var (@var{y})} is
+## used.  Similarly for "<", the one-sided alternative @code{var
+## (@var{x}) > var (@var{y})} is used.  The default is the two-sided
+## case.
+##
+## The p-value of the test is returned in @var{pval}.
+##
+## If no output argument is given, the p-value of the test is displayed.
+## @end deftypefn
+
+## Author: KH <Kurt.Hornik@wu-wien.ac.at>
+## Description: F test to compare two variances
+
+function [pval, f, df_num, df_den] = var_test (x, y, alt)
+
+  if ((nargin < 2) || (nargin > 3))
+    print_usage ();
+  endif
+
+  if (! (isvector (x) && isvector (y)))
+    error ("var_test: both X and Y must be vectors");
+  endif
+
+  df_num = length (x) - 1;
+  df_den = length (y) - 1;
+  f      = var (x) / var (y);
+  cdf    = fcdf (f, df_num, df_den);
+
+  if (nargin == 2)
+    alt  = "!=";
+  endif
+
+  if (! ischar (alt))
+    error ("var_test: ALT must be a string");
+  endif
+  if (strcmp (alt, "!=") || strcmp (alt, "<>"))
+    pval = 2 * min (cdf, 1 - cdf);
+  elseif (strcmp (alt, ">"))
+    pval = 1 - cdf;
+  elseif (strcmp (alt, "<"))
+    pval = cdf;
+  else
+    error ("var_test: option %s not recognized", alt);
+  endif
+
+  if (nargout == 0)
+    printf ("pval: %g\n", pval);
+  endif
+
+endfunction