Mercurial > hg > octave-nkf
annotate scripts/statistics/base/studentize.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, |
9245 | 2 ## 2006, 2007, 2009 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} {} studentize (@var{x}) |
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22 ## @deftypefnx {Function File} {} studentize (@var{x}, @var{dim}) |
3453 | 23 ## If @var{x} is a vector, subtract its mean and divide by its standard |
3200 | 24 ## deviation. |
25 ## | |
4885 | 26 ## If @var{x} is a matrix, do the above along the first non-singleton |
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27 ## dimension. |
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28 ## If the optional argument @var{dim} is given, operate along this dimension. |
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29 ## @seealso{center} |
3453 | 30 ## @end deftypefn |
3200 | 31 |
5428 | 32 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 33 ## Description: Subtract mean and divide by standard deviation |
3200 | 34 |
4885 | 35 function t = studentize (x, dim) |
3426 | 36 |
4885 | 37 if (nargin != 1 && nargin != 2) |
6046 | 38 print_usage (); |
3200 | 39 endif |
40 | |
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41 if (! isnumeric(x)) |
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42 error ("studentize: X must be a numeric vector or matrix"); |
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43 endif |
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44 |
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45 if (isinteger (x)) |
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46 x = double (x); |
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47 endif |
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48 |
4885 | 49 nd = ndims (x); |
50 sz = size (x); | |
51 if (nargin != 2) | |
4886 | 52 ## Find the first non-singleton dimension. |
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53 dim = find (sz > 1, 1); |
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54 if (isempty (dim)) |
4885 | 55 dim = 1; |
3200 | 56 endif |
57 else | |
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58 if (!(isscalar (dim) && dim == fix (dim)) |
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59 || !(1 <= dim && dim <= nd)) |
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60 error ("studentize: DIM must be an integer and a valid dimension"); |
4885 | 61 endif |
62 endif | |
63 | |
4886 | 64 c = sz(dim); |
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65 if (c == 0) |
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66 t = x; |
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67 else |
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68 idx = ones (1, nd); |
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69 idx(dim) = c; |
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70 t = x - repmat (mean (x, dim), idx); |
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71 t = t ./ repmat (max (cat (dim, std(t, [], dim), ! any (t, dim)), [], dim), idx); |
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72 endif |
4885 | 73 |
74 endfunction | |
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75 |
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76 %!assert(studentize ([1,2,3]), [-1,0,1]) |
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77 %!assert(studentize (int8 ([1,2,3])), [-1,0,1]) |
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78 #%!assert(studentize (ones (3,2,0,2)), zeros (3,2,0,2)) |
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79 %!assert(studentize ([2,0,-2;0,2,0;-2,-2,2]), [1,0,-1;0,1,0;-1,-1,1]) |
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80 |
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81 %% Test input validation |
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82 %!error studentize () |
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83 %!error studentize (1, 2, 3) |
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84 %!error studentize ([true true]) |
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85 %!error studentize (1, ones(2,2)) |
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86 %!error studentize (1, 1.5) |
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87 %!error studentize (1, 0) |
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88 %!error studentize (1, 3) |
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89 |