annotate scripts/statistics/base/statistics.m @ 14138:72c96de7a403 stable

maint: update copyright notices for 2012
author John W. Eaton <jwe@octave.org>
date Mon, 02 Jan 2012 14:25:41 -0500
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1 ## Copyright (C) 1995-2012 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 3 of the License, or (at
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8 ## your option) 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, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} statistics (@var{x})
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21 ## @deftypefnx {Function File} {} statistics (@var{x}, @var{dim})
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22 ## Return a vector with the minimum, first quartile, median, third quartile,
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23 ## maximum, mean, standard deviation, skewness, and kurtosis of the elements of
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24 ## the vector @var{x}.
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25 ##
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26 ## If @var{x} is a matrix, calculate statistics over the first
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27 ## non-singleton dimension.
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28 ## If the optional argument @var{dim} is given, operate along this dimension.
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29 ## @seealso{min, max, median, mean, std, skewness, kurtosis}
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30 ## @end deftypefn
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31
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32 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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33 ## Description: Compute basic statistics
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34
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35 function stats = statistics (x, dim)
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36
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37 if (nargin != 1 && nargin != 2)
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38 print_usage ();
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39 endif
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40
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41 if (! (isnumeric (x) || islogical (x)))
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42 error ("statistics: X must be a numeric vector or matrix");
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43 endif
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44
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45 nd = ndims (x);
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46 sz = size (x);
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47 if (nargin != 2)
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48 ## Find the first non-singleton dimension.
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49 (dim = find (sz > 1, 1)) || (dim = 1);
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50 else
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51 if (!(isscalar (dim) && dim == fix (dim))
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52 || !(1 <= dim && dim <= nd))
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53 error ("statistics: DIM must be an integer and a valid dimension");
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54 endif
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55 endif
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56
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57 if (sz(dim) < 2)
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58 error ("statistics: dimension of X is too small (<2)");
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59 endif
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60
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61 emp_inv = quantile (x, [0.25; 0.5; 0.75], dim, 7);
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62
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63 stats = cat (dim, min (x, [], dim), emp_inv, max (x, [], dim), mean (x, dim),
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64 std (x, [], dim), skewness (x, dim), kurtosis (x, dim));
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65
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66 endfunction
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67
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68
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69 %!test
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70 %! x = rand (7,5);
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71 %! s = statistics (x);
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72 %! assert (min (x), s(1,:), eps);
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73 %! assert (median (x), s(3,:), eps);
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74 %! assert (max (x), s(5,:), eps);
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75 %! assert (mean (x), s(6,:), eps);
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76 %! assert (std (x), s(7,:), eps);
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77 %! assert (skewness (x), s(8,:), eps);
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78 %! assert (kurtosis (x), s(9,:), eps);
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79
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80 %% Test input validation
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81 %!error statistics ()
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82 %!error statistics (1, 2, 3)
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83 %!error statistics (['A'; 'B'])
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84 %!error statistics (1, ones(2,2))
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85 %!error statistics (1, 1.5)
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86 %!error statistics (1, 0)
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87 %!error statistics (1, 3)
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88 %!error statistics (1)
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89