Mercurial > hg > octave-nkf

annotate scripts/statistics/base/statistics.m @ 10830:b4ebfd675321

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
avoid static initialization disaster in dim_vector
author Jaroslav Hajek <highegg@gmail.com>
date Thu, 29 Jul 2010 08:47:26 +0200
parents cab3b148d4e4
children fe3c3dfc07eb
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
7017
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
jwe
parents: 7016
diff changeset
1 ## Copyright (C) 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2004, 2005,
8920
eb63fbe60fab update copyright notices
John W. Eaton <jwe@octave.org>
parents: 8430
diff changeset
2 ## 2006, 2007, 2008 Kurt Hornik
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
3 ##
3922
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3456
diff changeset
4 ## This file is part of Octave.
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3456
diff changeset
5 ##
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3456
diff changeset
6 ## Octave is free software; you can redistribute it and/or modify it
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3456
diff changeset
7 ## under the terms of the GNU General Public License as published by
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
8 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
9 ## your option) any later version.
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
10 ##
3922
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3456
diff changeset
11 ## Octave is distributed in the hope that it will be useful, but
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
14 ## General Public License for more details.
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
15 ##
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
16 ## You should have received a copy of the GNU General Public License
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
17 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 6046
diff changeset
18 ## <http://www.gnu.org/licenses/>.
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
19
3453
71d2e09c15a2 [project @ 2000-01-18 08:32:09 by jwe]
jwe
parents: 3426
diff changeset
20 ## -*- texinfo -*-
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
21 ## @deftypefn {Function File} {} statistics (@var{x})
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
22 ## @deftypefnx {Function File} {} statistics (@var{x}, @var{dim})
3453
71d2e09c15a2 [project @ 2000-01-18 08:32:09 by jwe]
jwe
parents: 3426
diff changeset
23 ## If @var{x} is a matrix, return a matrix with the minimum, first
71d2e09c15a2 [project @ 2000-01-18 08:32:09 by jwe]
jwe
parents: 3426
diff changeset
24 ## quartile, median, third quartile, maximum, mean, standard deviation,
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
25 ## skewness, and kurtosis of the columns of @var{x} as its columns.
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
26 ##
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
27 ## If @var{x} is a vector, calculate the statistics along the first
7643
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
28 ## non-singleton dimension.
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
29 ##
3453
71d2e09c15a2 [project @ 2000-01-18 08:32:09 by jwe]
jwe
parents: 3426
diff changeset
30 ## @end deftypefn
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
31
5428
2a16423e4aa0 [project @ 2005-08-23 18:38:27 by jwe]
jwe
parents: 5307
diff changeset
32 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
3456
434790acb067 [project @ 2000-01-19 06:58:51 by jwe]
jwe
parents: 3453
diff changeset
33 ## Description: Compute basic statistics
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
34
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
35 function S = statistics (X, dim)
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
36
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
37 if (nargin != 1 && nargin != 2)
6046
34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe]
jwe
parents: 5428
diff changeset
38 print_usage ();
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
39 endif
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
40
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
41 if (!ismatrix(X) || ischar(X))
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
42 error ("statistics: X must be a numeric matrix or vector");
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
43 endif
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
44
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
45 nd = ndims (X);
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
46 sz = size (X);
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
47 if (nargin != 2)
4886
54b076a24718 [project @ 2004-04-30 04:31:51 by jwe]
jwe
parents: 4885
diff changeset
48 ## Find the first non-singleton dimension.
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
49 dim = find (sz > 1, 1);
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
50 if (isempty (dim))
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
51 dim = 1;
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
52 endif
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
53 else
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
54 if (!(isscalar (dim) && dim == round (dim)) ||
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
55 !(1 <= dim && dim <= nd))
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
56 error ("statistics: DIM must be an integer and a valid dimension");
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
57 endif
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
58 endif
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
59
10669
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
60 if (sz(dim) < 2)
cab3b148d4e4 Improve validation of input arguments for base statistics functions.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
61 error ("statistics: dimension of X is too small (<2)");
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
62 endif
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
63
7643
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
64 emp_inv = quantile (X, [0.25; 0.5; 0.75], dim, 7);
4885
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
65
28ab079d8f0e [project @ 2004-04-30 04:21:33 by jwe]
jwe
parents: 4030
diff changeset
66 S = cat (dim, min (X, [], dim), emp_inv, max (X, [], dim), mean (X, dim),
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 8920
diff changeset
67 std (X, [], dim), skewness (X, dim), kurtosis (X, dim));
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3273
diff changeset
68
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
69 endfunction
7643
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
70
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
71 %!test
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
72 %! x = rand(7,5);
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
73 %! s = statistics (x);
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
74 %! m = median (x);
0220da981c2a Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents: 7017
diff changeset
75 %! assert (m, s(3,:), eps);