Mercurial > hg > octave-nkf
annotate scripts/statistics/base/iqr.m @ 20177:15e5eb7a0c1d
make dist: add updated zoom images to EXTRADIST (bug #44579)
* libgui/graphics/module.mk: add graphics/images/zoom-in.png, graphics/images/zoom-out.png, remove graphics/images/zoom.png
author | John Donoghue |
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date | Thu, 19 Mar 2015 08:37:47 -0400 |
parents | 9fc020886ae9 |
children | d9341b422488 |
rev | line source |
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1 ## Copyright (C) 1995-2015 Kurt Hornik |
3426 | 2 ## |
3922 | 3 ## This file is part of Octave. |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
3426 | 9 ## |
3922 | 10 ## Octave is distributed in the hope that it will be useful, but |
3200 | 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
3426 | 13 ## General Public License for more details. |
14 ## | |
3200 | 15 ## You should have received a copy of the GNU General Public License |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
3200 | 18 |
3453 | 19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {} iqr (@var{x}) |
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21 ## @deftypefnx {Function File} {} iqr (@var{x}, @var{dim}) |
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22 ## Return the interquartile range, i.e., the difference between the upper |
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23 ## and lower quartile of the input data. If @var{x} is a matrix, do the |
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24 ## above for first non-singleton dimension of @var{x}. |
3200 | 25 ## |
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26 ## If the optional argument @var{dim} is given, operate along this dimension. |
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27 ## |
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28 ## As a measure of dispersion, the interquartile range is less affected by |
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29 ## outliers than either @code{range} or @code{std}. |
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30 ## @seealso{range, std} |
3453 | 31 ## @end deftypefn |
3426 | 32 |
5428 | 33 ## Author KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 34 ## Description: Interquartile range |
3200 | 35 |
4885 | 36 function y = iqr (x, dim) |
3426 | 37 |
4885 | 38 if (nargin != 1 && nargin != 2) |
6046 | 39 print_usage (); |
3200 | 40 endif |
41 | |
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42 if (! (isnumeric (x) || islogical (x))) |
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43 error ("iqr: X must be a numeric vector or matrix"); |
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44 endif |
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45 |
4885 | 46 nd = ndims (x); |
47 sz = size (x); | |
48 nel = numel (x); | |
49 if (nargin != 2) | |
4886 | 50 ## Find the first non-singleton dimension. |
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51 (dim = find (sz > 1, 1)) || (dim = 1); |
4885 | 52 else |
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53 if (!(isscalar (dim) && dim == fix (dim)) |
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54 || !(1 <= dim && dim <= nd)) |
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55 error ("iqr: DIM must be an integer and a valid dimension"); |
4885 | 56 endif |
4681 | 57 endif |
4631 | 58 |
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59 ## This code is a bit heavy, but is needed until empirical_inv |
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60 ## can take a matrix, rather than just a vector argument. |
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61 n = sz(dim); |
4886 | 62 sz(dim) = 1; |
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63 if (isa (x, "single")) |
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64 y = zeros (sz, "single"); |
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65 else |
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66 y = zeros (sz); |
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67 endif |
4886 | 68 stride = prod (sz(1:dim-1)); |
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69 for i = 1 : nel / n; |
4885 | 70 offset = i; |
71 offset2 = 0; | |
72 while (offset > stride) | |
73 offset -= stride; | |
74 offset2++; | |
75 endwhile | |
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76 offset += offset2 * stride * n; |
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77 rng = [0 : n-1] * stride + offset; |
4631 | 78 |
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79 y(i) = diff (empirical_inv ([1/4, 3/4], x(rng))); |
4681 | 80 endfor |
3426 | 81 |
3200 | 82 endfunction |
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83 |
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84 |
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85 %!assert (iqr (1:101), 50) |
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86 %!assert (iqr (single (1:101)), single (50)) |
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87 |
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88 ## FIXME: iqr throws horrible error when running across a dimension that is 1. |
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89 %!test |
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90 %! x = [1:100]'; |
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91 %! assert (iqr (x, 1), 50); |
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92 %! assert (iqr (x', 2), 50); |
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93 |
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94 %!error iqr () |
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95 %!error iqr (1, 2, 3) |
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96 %!error iqr (1) |
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97 %!error iqr (['A'; 'B']) |
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98 %!error iqr (1:10, 3) |
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99 |