annotate scripts/statistics/tests/f_test_regression.m @ 20327:094ae7cc2d1d

pt_PT.ts: update portuguese translation.
author Carnë Draug <carandraug@octave.org>
date Thu, 23 Apr 2015 12:48:37 +0100
parents 9fc020886ae9
children d9341b422488
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
19898
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
parents: 17744
diff changeset
1 ## Copyright (C) 1995-2015 Kurt Hornik
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
2 ##
3922
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3499
diff changeset
3 ## This file is part of Octave.
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3499
diff changeset
4 ##
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3499
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3499
diff changeset
6 ## 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
7 ## 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
8 ## your option) any later version.
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
9 ##
3922
38c61cbf086c [project @ 2002-05-01 06:48:35 by jwe]
jwe
parents: 3499
diff changeset
10 ## 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
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
13 ## General Public License for more details.
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
14 ##
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
15 ## 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
16 ## 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
17 ## <http://www.gnu.org/licenses/>.
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
18
3454
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
19 ## -*- texinfo -*-
3499
3e3e14ad5149 [project @ 2000-01-31 05:18:07 by jwe]
jwe
parents: 3457
diff changeset
20 ## @deftypefn {Function File} {[@var{pval}, @var{f}, @var{df_num}, @var{df_den}] =} f_test_regression (@var{y}, @var{x}, @var{rr}, @var{r})
16826
a4969508008e doc: Periodic spellcheck of the documentation.
Rik <rik@octave.org>
parents: 14138
diff changeset
21 ## Perform an F test for the null hypothesis @nospell{rr * b = r} in a
a4969508008e doc: Periodic spellcheck of the documentation.
Rik <rik@octave.org>
parents: 14138
diff changeset
22 ## classical normal regression model y = X * b + e.
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
23 ##
3454
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
24 ## Under the null, the test statistic @var{f} follows an F distribution
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
25 ## with @var{df_num} and @var{df_den} degrees of freedom.
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
26 ##
3454
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
27 ## The p-value (1 minus the CDF of this distribution at @var{f}) is
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
28 ## returned in @var{pval}.
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
29 ##
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
30 ## If not given explicitly, @var{r} = 0.
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
31 ##
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
32 ## If no output argument is given, the p-value is displayed.
3454
d8b731d3f7a3 [project @ 2000-01-18 10:13:31 by jwe]
jwe
parents: 3426
diff changeset
33 ## @end deftypefn
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
34
5428
2a16423e4aa0 [project @ 2005-08-23 18:38:27 by jwe]
jwe
parents: 5307
diff changeset
35 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
3456
434790acb067 [project @ 2000-01-19 06:58:51 by jwe]
jwe
parents: 3454
diff changeset
36 ## Description: Test linear hypotheses in linear regression model
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
37
11469
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 7017
diff changeset
38 function [pval, f, df_num, df_den] = f_test_regression (y, x, rr, r)
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
39
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
40 if (nargin < 3 || nargin > 4)
6046
34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe]
jwe
parents: 5428
diff changeset
41 print_usage ();
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
42 endif
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
43
11469
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 7017
diff changeset
44 [T, k] = size (x);
4030
22bd65326ec1 [project @ 2002-08-09 18:58:13 by jwe]
jwe
parents: 3922
diff changeset
45 if (! (isvector (y) && (length (y) == T)))
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 11469
diff changeset
46 error ("f_test_regression: Y must be a vector of length rows (X)");
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
47 endif
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
48 y = reshape (y, T, 1);
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
49
11469
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 7017
diff changeset
50 [q, c_R ] = size (rr);
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
51 if (c_R != k)
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 11469
diff changeset
52 error ("f_test_regression: RR must have as many columns as X");
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
53 endif
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
54
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
55 if (nargin == 4)
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
56 s_r = size (r);
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
57 if ((min (s_r) != 1) || (max (s_r) != q))
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 11469
diff changeset
58 error ("f_test_regression: R must be a vector of length rows (RR)");
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
59 endif
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
60 r = reshape (r, q, 1);
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
61 else
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
62 r = zeros (q, 1);
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
63 endif
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
64
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
65 df_num = q;
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
66 df_den = T - k;
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
67
11469
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 7017
diff changeset
68 [b, v] = ols (y, x);
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 7017
diff changeset
69 diff = rr * b - r;
c776f063fefe Overhaul m-script files to use common variable name between code and documentation.
Rik <octave@nomad.inbox5.com>
parents: 7017
diff changeset
70 f = diff' * inv (rr * inv (x' * x) * rr') * diff / (q * v);
20038
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19898
diff changeset
71 pval = 1 - fcdf (f, df_num, df_den);
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3200
diff changeset
72
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
73 if (nargout == 0)
3456
434790acb067 [project @ 2000-01-19 06:58:51 by jwe]
jwe
parents: 3454
diff changeset
74 printf (" pval: %g\n", pval);
3200
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
75 endif
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
76
781c930425fd [project @ 1998-10-29 05:23:08 by jwe]
jwe
parents:
diff changeset
77 endfunction
17338
1c89599167a6 maint: End m-files with 1 blank line.
Rik <rik@octave.org>
parents: 16826
diff changeset
78