/usr/share/octave/packages/statistics-1.3.0/tabulate.m is in octave-statistics 1.3.0-4.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 | ## Copyright (C) 2003 Alberto Terruzzi <t-albert@libero.it>
##
## This program is free software; you can redistribute it and/or modify it under
## the terms of the GNU General Public License as published by the Free Software
## Foundation; either version 3 of the License, or (at your option) any later
## version.
##
## This program is distributed in the hope that it will be useful, but WITHOUT
## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
## details.
##
## You should have received a copy of the GNU General Public License along with
## this program; if not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deftypefn {Function File} {@var{table} =} tabulate (@var{data}, @var{edges})
##
## Compute a frequency table.
##
## For vector data, the function counts the number of
## values in data that fall between the elements in the edges vector
## (which must contain monotonically non-decreasing values). @var{table} is a
## matrix.
## The first column of @var{table} is the number of bin, the second
## is the number of instances in each class (absolute frequency). The
## third column contains the percentage of each value (relative
## frequency) and the fourth column contains the cumulative frequency.
##
## If @var{edges} is missed the width of each class is unitary, if @var{edges}
## is a scalar then represent the number of classes, or you can define the
## width of each bin.
## @var{table}(@var{k}, 2) will count the value @var{data} (@var{i}) if
## @var{edges} (@var{k}) <= @var{data} (@var{i}) < @var{edges} (@var{k}+1).
## The last bin will count the value of @var{data} (@var{i}) if
## @var{edges}(@var{k}) <= @var{data} (@var{i}) <= @var{edges} (@var{k}+1).
## Values outside the values in @var{edges} are not counted. Use -inf and inf
## in @var{edges} to include all values.
## Tabulate with no output arguments returns a formatted table in the
## command window.
##
## Example
##
## @example
## sphere_radius = [1:0.05:2.5];
## tabulate (sphere_radius)
## @end example
##
## Tabulate returns 2 bins, the first contains the sphere with radius
## between 1 and 2 mm excluded, and the second one contains the sphere with
## radius between 2 and 3 mm.
##
## @example
## tabulate (sphere_radius, 10)
## @end example
##
## Tabulate returns ten bins.
##
## @example
## tabulate (sphere_radius, [1, 1.5, 2, 2.5])
## @end example
##
## Tabulate returns three bins, the first contains the sphere with radius
## between 1 and 1.5 mm excluded, the second one contains the sphere with
## radius between 1.5 and 2 mm excluded, and the third contains the sphere with
## radius between 2 and 2.5 mm.
##
## @example
## bar (table (:, 1), table (:, 2))
## @end example
##
## draw histogram.
##
## @seealso{bar, pareto}
## @end deftypefn
## Author: Alberto Terruzzi <t-albert@libero.it>
## Version: 1.0
## Created: 13 February 2003
function table = tabulate (varargin)
if nargin < 1 || nargin > 2
print_usage;
endif
data = varargin{1};
if isvector (data) != 1
error ("data must be a vector.");
endif
n = length(data);
m = min(data);
M = max(data);
if nargin == 1 edges = 1:1:max(data)+1;
else edges = varargin{2};
end
if isscalar(edges)
h=(M-m)/edges;
edges = [m:h:M];
end
# number of classes
bins=length(edges)-1;
# initialize freqency table
freqtable = zeros(bins,4);
for k=1:1:bins;
if k != bins
freqtable(k,2)=length(find (data >= edges(k) & data < edges(k+1)));
else
freqtable(k,2)=length(find (data >= edges(k) & data <= edges(k+1)));
end
if k == 1 freqtable (k,4) = freqtable(k,2);
else freqtable(k,4) = freqtable(k-1,4) + freqtable(k,2);
end
end
freqtable(:,1) = edges(1:end-1)(:);
freqtable(:,3) = 100*freqtable(:,2)/n;
if nargout == 0
disp(" bin Fa Fr% Fc");
printf("%8g %5d %6.2f%% %5d\n",freqtable');
else table = freqtable;
end
endfunction
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