Mercurial > hg > octave-lyh
annotate scripts/statistics/base/statistics.m @ 11436:e151e23f73bc
Overhaul base statistics functions and documentation of same.
Add or improve input validation.
Add input validation tests.
Add functional tests.
Improve or re-write documentation strings.
author | Rik <octave@nomad.inbox5.com> |
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date | Mon, 03 Jan 2011 21:23:08 -0800 |
parents | fe3c3dfc07eb |
children | fd0a3ac60b0e |
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7017 | 1 ## Copyright (C) 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2004, 2005, |
8920 | 2 ## 2006, 2007, 2008 Kurt Hornik |
3426 | 3 ## |
3922 | 4 ## This file is part of Octave. |
5 ## | |
6 ## Octave is free software; you can redistribute it and/or modify it | |
7 ## under the terms of the GNU General Public License as published by | |
7016 | 8 ## the Free Software Foundation; either version 3 of the License, or (at |
9 ## your option) any later version. | |
3426 | 10 ## |
3922 | 11 ## Octave is distributed in the hope that it will be useful, but |
3200 | 12 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
3426 | 14 ## General Public License for more details. |
15 ## | |
3200 | 16 ## You should have received a copy of the GNU General Public License |
7016 | 17 ## along with Octave; see the file COPYING. If not, see |
18 ## <http://www.gnu.org/licenses/>. | |
3200 | 19 |
3453 | 20 ## -*- texinfo -*- |
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21 ## @deftypefn {Function File} {} statistics (@var{x}) |
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22 ## @deftypefnx {Function File} {} statistics (@var{x}, @var{dim}) |
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23 ## Return a vector with the minimum, first quartile, median, third quartile, |
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24 ## maximum, mean, standard deviation, skewness, and kurtosis of the elements of |
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25 ## the vector @var{x}. |
3200 | 26 ## |
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27 ## If @var{x} is a matrix, calculate statistics over the first |
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28 ## non-singleton dimension. |
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29 ## If the optional argument @var{dim} is given, operate along this dimension. |
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30 ## @seealso{min,max,median,mean,std,skewness,kurtosis} |
3453 | 31 ## @end deftypefn |
3426 | 32 |
5428 | 33 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 34 ## Description: Compute basic statistics |
3200 | 35 |
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36 function stats = statistics (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)) |
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43 error ("statistics: X must be a numeric vector or matrix"); |
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44 endif |
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45 |
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46 nd = ndims (x); |
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47 sz = size (x); |
4885 | 48 if (nargin != 2) |
4886 | 49 ## Find the first non-singleton dimension. |
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50 dim = find (sz > 1, 1); |
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51 if (isempty (dim)) |
4885 | 52 dim = 1; |
53 endif | |
54 else | |
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55 if (!(isscalar (dim) && dim == round (dim)) |
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56 || !(1 <= dim && dim <= nd)) |
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57 error ("statistics: DIM must be an integer and a valid dimension"); |
3200 | 58 endif |
4885 | 59 endif |
60 | |
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61 if (sz(dim) < 2) |
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62 error ("statistics: dimension of X is too small (<2)"); |
4885 | 63 endif |
64 | |
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65 emp_inv = quantile (x, [0.25; 0.5; 0.75], dim, 7); |
4885 | 66 |
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67 stats = cat (dim, min (x, [], dim), emp_inv, max (x, [], dim), mean (x, dim), |
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68 std (x, [], dim), skewness (x, dim), kurtosis (x, dim)); |
3426 | 69 |
3200 | 70 endfunction |
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71 |
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72 %!test |
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73 %! x = rand(7,5); |
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74 %! s = statistics (x); |
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75 %! m = median (x); |
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76 %! assert (m, s(3,:), eps); |
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77 |
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78 %% Test input validation |
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79 %!error statistics () |
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80 %!error statistics (1, 2, 3) |
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81 %!error statistics ([true true]) |
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82 %!error statistics (1, ones(2,2)) |
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83 %!error statistics (1, 1.5) |
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84 %!error statistics (1, 0) |
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85 %!error statistics (1, 3) |
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86 %!error statistics (1) |
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87 |