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1 ## Copyright (C) 1995, 1996, 1997 Kurt Hornik |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 2, or (at your option) |
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8 ## any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, write to the Free |
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17 ## Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA |
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18 ## 02110-1301, USA. |
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19 |
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20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} iqr (@var{x}, @var{dim}) |
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22 ## If @var{x} is a vector, return the interquartile range, i.e., the |
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23 ## difference between the upper and lower quartile, of the input data. |
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24 ## |
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25 ## If @var{x} is a matrix, do the above for first non singleton |
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26 ## dimension of @var{x}. If the option @var{dim} argument is given, |
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27 ## then operate along this dimension. |
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28 ## @end deftypefn |
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29 |
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30 ## Author KH <Kurt.Hornik@wu-wien.ac.at> |
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31 ## Description: Interquartile range |
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32 |
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33 function y = iqr (x, dim) |
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34 |
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35 if (nargin != 1 && nargin != 2) |
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36 usage ("iqr (x, dim)"); |
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37 endif |
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38 |
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39 nd = ndims (x); |
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40 sz = size (x); |
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41 nel = numel (x); |
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42 if (nargin != 2) |
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43 ## Find the first non-singleton dimension. |
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44 dim = 1; |
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45 while (dim < nd + 1 && sz(dim) == 1) |
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46 dim = dim + 1; |
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47 endwhile |
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48 if (dim > nd) |
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49 dim = 1; |
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50 endif |
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51 else |
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52 if (! (isscalar (dim) && dim == round (dim)) |
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53 && dim > 0 |
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54 && dim < (nd + 1)) |
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55 error ("iqr: dim must be an integer and valid dimension"); |
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56 endif |
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57 endif |
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58 |
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59 ## This code is a bit heavy, but is needed until empirical_inv |
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60 ## takes other than vector arguments. |
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61 c = sz(dim); |
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62 sz(dim) = 1; |
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63 y = zeros (sz); |
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64 stride = prod (sz(1:dim-1)); |
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65 for i = 1 : nel / c; |
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66 offset = i; |
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67 offset2 = 0; |
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68 while (offset > stride) |
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69 offset -= stride; |
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70 offset2++; |
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71 endwhile |
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72 offset += offset2 * stride * c; |
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73 rng = [0 : c-1] * stride + offset; |
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74 |
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75 y (i) = empirical_inv (3/4, x(rng)) - empirical_inv (1/4, x(rng)); |
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76 endfor |
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77 |
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78 endfunction |
