Mercurial > hg > octave-lyh
annotate scripts/statistics/base/statistics.m @ 12656:6b2f14af2360
Overhaul functions in statistics/base directory.
Widen input validation to accept logicals.
Return correct class of output, e.g., 'single' depending on class of input.
Correct or add tests for above.
* center.m, cov.m, kendall.m, mean.m, meansq.m, median.m, mode.m, prctile.m,
quantile.m, ranks.m, run_count.m, runlength.m, spearman.m, statistics.m,
std.m, var.m, logistic_inv.m: Overhaul as described above
* corrcoef.m: Overhaul + remove input validation already done by cov().
* cor.m, logit.m, ppplot.m, table.m: Only align test blocks.
* gls.m, ols.m: Only correct class of output, no logical inputs for regression.
* histc.m: Only change spacing of code to be uniform.
* iqr.m: Overhaul + 2X speedup by calling empirical_inv just once.
* kurtosis.m: Overhaul + replace repmat instances with center().
* mahalanobis.m: Overhaul + use bsxfun for centering data.
* moment.m: Overhaul + replace repmat instances with center().
* probit.m, range.m: Redo input validation and add tests.
* skewness.m: Overhaul + replace repmat instances with center().
* zscore.m: Overhaul + replace repmat instances with center() + use bsxfun.
author | Rik <octave@nomad.inbox5.com> |
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date | Sat, 07 May 2011 14:52:08 -0700 |
parents | d0b799dafede |
children | 984359717d71 |
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11523 | 1 ## Copyright (C) 1995-2011 Kurt Hornik |
3426 | 2 ## |
3922 | 3 ## This file is part of Octave. |
4 ## | |
5 ## Octave is free software; you can redistribute it and/or modify it | |
6 ## under the terms of the GNU General Public License as published by | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
3426 | 9 ## |
3922 | 10 ## Octave is distributed in the hope that it will be useful, but |
3200 | 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
3426 | 13 ## General Public License for more details. |
14 ## | |
3200 | 15 ## You should have received a copy of the GNU General Public License |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
3200 | 18 |
3453 | 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}. |
3200 | 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} |
3453 | 30 ## @end deftypefn |
3426 | 31 |
5428 | 32 ## Author: KH <Kurt.Hornik@wu-wien.ac.at> |
3456 | 33 ## Description: Compute basic statistics |
3200 | 34 |
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35 function stats = statistics (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) || 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); |
4885 | 47 if (nargin != 2) |
4886 | 48 ## Find the first non-singleton dimension. |
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49 (dim = find (sz > 1, 1)) || (dim = 1); |
4885 | 50 else |
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51 if (!(isscalar (dim) && dim == round (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"); |
3200 | 54 endif |
4885 | 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 |
4885 | 60 |
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61 emp_inv = quantile (x, [0.25; 0.5; 0.75], dim, 7); |
4885 | 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)); |
3426 | 65 |
3200 | 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 |