Mercurial > octave-nkf
annotate scripts/statistics/base/prctile.m @ 18204:b29beed0e98d
Use first non-singleton dimension for prctile, quantile (bug #40736).
* prctile.m, quantile.m: Use first non-singleton dimension when DIM is
unspecified. Change documentation to match new behavior. Add %!tests
to validate change.
author | Rik <rik@octave.org> |
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date | Fri, 03 Jan 2014 11:58:21 -0800 |
parents | d63878346099 |
children | 4197fc428c7d |
rev | line source |
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1 ## Copyright (C) 2008-2013 Ben Abbott |
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2 ## |
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3 ## This file is part of Octave. |
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4 ## |
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5 ## Octave is free software; you can redistribute it and/or modify it |
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6 ## under the terms of the GNU General Public License as published by |
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7 ## the Free Software Foundation; either version 3 of the License, or (at |
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8 ## your option) any later version. |
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9 ## |
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10 ## Octave is distributed in the hope that it will be useful, but |
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of |
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU |
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13 ## General Public License for more details. |
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14 ## |
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15 ## You should have received a copy of the GNU General Public License |
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16 ## along with Octave; see the file COPYING. If not, see |
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17 ## <http://www.gnu.org/licenses/>. |
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18 |
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19 ## -*- texinfo -*- |
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20 ## @deftypefn {Function File} {@var{q} =} prctile (@var{x}) |
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21 ## @deftypefnx {Function File} {@var{q} =} prctile (@var{x}, @var{p}) |
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22 ## @deftypefnx {Function File} {@var{q} =} prctile (@var{x}, @var{p}, @var{dim}) |
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23 ## For a sample @var{x}, compute the quantiles, @var{q}, corresponding |
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24 ## to the cumulative probability values, @var{p}, in percent. All non-numeric |
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25 ## values (NaNs) of @var{x} are ignored. |
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26 ## |
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27 ## If @var{x} is a matrix, compute the percentiles for each column and |
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28 ## return them in a matrix, such that the i-th row of @var{y} contains the |
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29 ## @var{p}(i)th percentiles of each column of @var{x}. |
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30 ## |
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31 ## If @var{p} is unspecified, return the quantiles for @code{[0 25 50 75 100]}. |
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32 ## The optional argument @var{dim} determines the dimension along which |
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33 ## the percentiles are calculated. If @var{dim} is omitted it defaults to the |
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34 ## the first non-singleton dimension. |
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35 ## @seealso{quantile} |
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36 ## @end deftypefn |
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37 |
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38 ## Author: Ben Abbott <bpabbott@mac.com> |
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39 ## Description: Matlab style prctile function. |
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40 |
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41 function q = prctile (x, p = [], dim) |
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42 |
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43 if (nargin < 1 || nargin > 3) |
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44 print_usage (); |
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45 endif |
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46 |
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47 if (! (isnumeric (x) || islogical (x))) |
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48 error ("prctile: X must be a numeric vector or matrix"); |
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49 endif |
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50 |
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51 if (isempty (p)) |
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52 p = [0, 25, 50, 75, 100]; |
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53 endif |
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54 |
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55 if (! (isnumeric (p) && isvector (p))) |
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56 error ("prctile: P must be a numeric vector"); |
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57 endif |
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58 |
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59 nd = ndims (x); |
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60 sz = size (x); |
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61 if (nargin < 3) |
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62 ## Find the first non-singleton dimension. |
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63 (dim = find (sz > 1, 1)) || (dim = 1); |
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64 else |
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65 if (!(isscalar (dim) && dim == fix (dim)) |
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66 || !(1 <= dim && dim <= nd)) |
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67 error ("prctile: DIM must be an integer and a valid dimension"); |
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68 endif |
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69 endif |
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70 |
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71 ## Convert from percent to decimal. |
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72 p /= 100; |
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73 |
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74 q = quantile (x, p, dim); |
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75 |
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76 endfunction |
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77 |
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78 |
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79 %!test |
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80 %! pct = 50; |
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81 %! q = prctile (1:4, pct); |
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82 %! qa = 2.5; |
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83 %! assert (q, qa); |
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84 %! q = prctile (1:4, pct, 1); |
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85 %! qa = [1, 2, 3, 4]; |
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86 %! assert (q, qa); |
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87 %! q = prctile (1:4, pct, 2); |
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88 %! qa = 2.5; |
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89 %! assert (q, qa); |
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90 |
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91 %!test |
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92 %! pct = [50 75]; |
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93 %! q = prctile (1:4, pct); |
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94 %! qa = [2.5 3.5]; |
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95 %! assert (q, qa); |
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96 %! q = prctile (1:4, pct, 1); |
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97 %! qa = [1, 2, 3, 4; 1, 2, 3, 4]; |
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98 %! assert (q, qa); |
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99 %! q = prctile (1:4, pct, 2); |
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100 %! qa = [2.5 3.5]; |
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101 %! assert (q, qa); |
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102 |
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103 %!test |
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104 %! pct = 50; |
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105 %! x = [0.1126, 0.1148, 0.0521, 0.2364, 0.1393 |
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106 %! 0.1718, 0.7273, 0.2041, 0.4531, 0.1585 |
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107 %! 0.2795, 0.7978, 0.3296, 0.5567, 0.7307 |
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108 %! 0.4288, 0.8753, 0.6477, 0.6287, 0.8165 |
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109 %! 0.9331, 0.9312, 0.9635, 0.7796, 0.8461]; |
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110 %! tol = 0.0001; |
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111 %! q = prctile (x, pct, 1); |
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112 %! qa = [0.2795, 0.7978, 0.3296, 0.5567, 0.7307]; |
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113 %! assert (q, qa, tol); |
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114 %! q = prctile (x, pct, 2); |
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115 %! qa = [0.1148; 0.2041; 0.5567; 0.6477; 0.9312]; |
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116 %! assert (q, qa, tol); |
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117 |
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118 %!test |
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Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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119 %! pct = 50; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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120 %! tol = 0.0001; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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121 %! x = [0.1126, 0.1148, 0.0521, 0.2364, 0.1393 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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122 %! 0.1718, 0.7273, 0.2041, 0.4531, 0.1585 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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123 %! 0.2795, 0.7978, 0.3296, 0.5567, 0.7307 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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124 %! 0.4288, 0.8753, 0.6477, 0.6287, 0.8165 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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125 %! 0.9331, 0.9312, 0.9635, 0.7796, 0.8461]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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126 %! x(5,5) = Inf; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
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127 %! q = prctile (x, pct, 1); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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128 %! qa = [0.2795, 0.7978, 0.3296, 0.5567, 0.7307]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
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129 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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130 %! x(5,5) = -Inf; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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131 %! q = prctile (x, pct, 1); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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132 %! qa = [0.2795, 0.7978, 0.3296, 0.5567, 0.1585]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
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133 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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134 %! x(1,1) = Inf; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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135 %! q = prctile (x, pct, 1); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
136 %! qa = [0.4288, 0.7978, 0.3296, 0.5567, 0.1585]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
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137 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
138 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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139 %!test |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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140 %! pct = 50; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
141 %! tol = 0.0001; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
142 %! x = [0.1126, 0.1148, 0.0521, 0.2364, 0.1393 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
143 %! 0.1718, 0.7273, 0.2041, 0.4531, 0.1585 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
144 %! 0.2795, 0.7978, 0.3296, 0.5567, 0.7307 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
145 %! 0.4288, 0.8753, 0.6477, 0.6287, 0.8165 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
146 %! 0.9331, 0.9312, 0.9635, 0.7796, 0.8461]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
147 %! x(3,3) = Inf; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
148 %! q = prctile (x, pct, 1); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
149 %! qa = [0.2795, 0.7978, 0.6477, 0.5567, 0.7307]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
150 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
151 %! q = prctile (x, pct, 2); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
152 %! qa = [0.1148; 0.2041; 0.7307; 0.6477; 0.9312]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
153 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
154 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
155 %!test |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
156 %! pct = 50; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
157 %! tol = 0.0001; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
158 %! x = [0.1126, 0.1148, 0.0521, 0.2364, 0.1393 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
159 %! 0.1718, 0.7273, 0.2041, 0.4531, 0.1585 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
160 %! 0.2795, 0.7978, 0.3296, 0.5567, 0.7307 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
161 %! 0.4288, 0.8753, 0.6477, 0.6287, 0.8165 |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
162 %! 0.9331, 0.9312, 0.9635, 0.7796, 0.8461]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
163 %! x(5,5) = NaN; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
164 %! q = prctile (x, pct, 2); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
165 %! qa = [0.1148; 0.2041; 0.5567; 0.6477; 0.9322]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
166 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
167 %! x(1,1) = NaN; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
168 %! q = prctile (x, pct, 2); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
169 %! qa = [0.1270; 0.2041; 0.5567; 0.6477; 0.9322]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
170 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
171 %! x(3,3) = NaN; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
172 %! q = prctile (x, pct, 2); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
173 %! qa = [0.1270; 0.2041; 0.6437; 0.6477; 0.9322]; |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
changeset
|
174 %! assert (q, qa, tol); |
0220da981c2a
Modified statistics to calculate consistent median.
Ben Abbott <bpabbott@mac.com>
parents:
diff
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|
175 |
11436
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
10793
diff
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|
176 %% Test input validation |
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Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
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177 %!error prctile () |
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Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
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|
178 %!error prctile (1, 2, 3, 4) |
12656
6b2f14af2360
Overhaul functions in statistics/base directory.
Rik <octave@nomad.inbox5.com>
parents:
12642
diff
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|
179 %!error prctile (['A'; 'B'], 10) |
11436
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Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
10793
diff
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|
180 %!error prctile (1:10, [true, false]) |
12656
6b2f14af2360
Overhaul functions in statistics/base directory.
Rik <octave@nomad.inbox5.com>
parents:
12642
diff
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|
181 %!error prctile (1:10, ones (2,2)) |
11436
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Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
10793
diff
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|
182 %!error prctile (1, 1, 1.5) |
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
10793
diff
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|
183 %!error prctile (1, 1, 0) |
e151e23f73bc
Overhaul base statistics functions and documentation of same.
Rik <octave@nomad.inbox5.com>
parents:
10793
diff
changeset
|
184 %!error prctile (1, 1, 3) |
14363
f3d52523cde1
Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
14138
diff
changeset
|
185 |