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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} {} statistics (@var{x}) |
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22 ## If @var{x} is a matrix, return a matrix with the minimum, first |
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23 ## quartile, median, third quartile, maximum, mean, standard deviation, |
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24 ## skewness and kurtosis of the columns of @var{x} as its rows. |
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25 ## |
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26 ## If @var{x} is a vector, treat it as a column vector. |
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27 ## @end deftypefn |
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28 |
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29 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
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30 ## Description: Compute basic statistics |
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31 |
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32 function S = statistics (X, dim) |
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33 |
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34 if (nargin != 1 && nargin != 2) |
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35 usage ("S = statistics (X, dim)"); |
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36 endif |
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37 |
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38 nd = ndims (X); |
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39 sz = size (X); |
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40 nel = numel (X); |
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41 if (nargin != 2) |
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42 ## Find the first non-singleton dimension. |
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43 dim = 1; |
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44 while (dim < nd + 1 && sz(dim) == 1) |
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45 dim = dim + 1; |
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46 endwhile |
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47 if (dim > nd) |
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48 dim = 1; |
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49 endif |
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50 else |
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51 if (! (isscalar (dim) && dim == round (dim)) |
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52 && dim > 0 |
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53 && dim < (nd + 1)) |
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54 error ("statistics: dim must be an integer and valid dimension"); |
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55 endif |
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56 endif |
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57 |
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58 if (! ismatrix (X) || sz(dim) < 2) |
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59 error ("statistics: invalid argument"); |
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60 endif |
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61 |
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62 ## This code is a bit heavy, but is needed until empirical_inv |
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63 ## takes other than vector arguments. |
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64 c = sz(dim); |
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65 stride = prod (sz(1:dim-1)); |
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66 sz(dim) = 3; |
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67 emp_inv = zeros (sz); |
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68 for i = 1 : nel / c; |
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69 offset = i; |
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70 offset2 = 0; |
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71 while (offset > stride) |
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72 offset -= stride; |
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73 offset2++; |
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74 endwhile |
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75 rng = [0 : c-1] * stride + offset + offset2 * stride * c; |
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76 rng2 = [0 : 2] * stride + offset + offset2 * stride * 3; |
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77 emp_inv(rng2) = empirical_inv ([0.25; 0.5; 0.75], X(rng)); |
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78 endfor |
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79 |
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80 S = cat (dim, min (X, [], dim), emp_inv, max (X, [], dim), mean (X, dim), |
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81 std (X, [], dim), skewness (X, dim), kurtosis (X, dim)); |
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82 |
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83 endfunction |
