X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;ds=sidebyside;f=octave_packages%2Fm%2Fstatistics%2Fbase%2Fiqr.m;fp=octave_packages%2Fm%2Fstatistics%2Fbase%2Fiqr.m;h=45fda22c2865f4c9fb0bf443c869964090bfc80d;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/statistics/base/iqr.m b/octave_packages/m/statistics/base/iqr.m new file mode 100644 index 0000000..45fda22 --- /dev/null +++ b/octave_packages/m/statistics/base/iqr.m @@ -0,0 +1,98 @@ +## 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 +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} iqr (@var{x}) +## @deftypefnx {Function File} {} iqr (@var{x}, @var{dim}) +## Return the interquartile range, i.e., the difference between the upper +## and lower quartile of the input data. If @var{x} is a matrix, do the +## above for first non-singleton dimension of @var{x}. +## +## If the optional argument @var{dim} is given, operate along this dimension. +## +## As a measure of dispersion, the interquartile range is less affected by +## outliers than either @code{range} or @code{std}. +## @seealso{range, std} +## @end deftypefn + +## Author KH +## Description: Interquartile range + +function y = iqr (x, dim) + + if (nargin != 1 && nargin != 2) + print_usage (); + endif + + if (! (isnumeric (x) || islogical (x))) + error ("iqr: X must be a numeric vector or matrix"); + endif + + nd = ndims (x); + sz = size (x); + nel = numel (x); + if (nargin != 2) + ## Find the first non-singleton dimension. + (dim = find (sz > 1, 1)) || (dim = 1); + else + if (!(isscalar (dim) && dim == fix (dim)) + || !(1 <= dim && dim <= nd)) + error ("iqr: DIM must be an integer and a valid dimension"); + endif + endif + + ## This code is a bit heavy, but is needed until empirical_inv + ## can take a matrix, rather than just a vector argument. + n = sz(dim); + sz(dim) = 1; + if (isa (x, 'single')) + y = zeros (sz, 'single'); + else + y = zeros (sz); + endif + stride = prod (sz(1:dim-1)); + for i = 1 : nel / n; + offset = i; + offset2 = 0; + while (offset > stride) + offset -= stride; + offset2++; + endwhile + offset += offset2 * stride * n; + rng = [0 : n-1] * stride + offset; + + y(i) = diff (empirical_inv ([1/4, 3/4], x(rng))); + endfor + +endfunction + + +%!assert (iqr (1:101), 50); +%!assert (iqr (single(1:101)), single(50)); + +%%!test +%%! x = [1:100]; +%%! n = iqr (x, 0:10); +%%! assert (n, [repmat(100, 1, 10), 1]); + +%!error iqr (); +%!error iqr (1, 2, 3); +%!error iqr (1); +%!error iqr (['A'; 'B']); +%!error iqr (1:10, 3); +