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std.m
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1996-09-28
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# Copyright (C) 1993, 1994, 1995 John W. Eaton
#
# This file is part of Octave.
#
# Octave 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 2, or (at your option) any
# later version.
#
# Octave 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 Octave; see the file COPYING. If not, write to the Free
# Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
function retval = std (a)
# usage: std (a)
#
# For vector arguments, std returns the standard deviation of the
# values. For matrix arguments, std returns a row vector containing
# the standard deviation for each column.
#
# See also: mean, median
if (nargin != 1)
usage ("std (a)");
endif
nr = rows (a);
nc = columns (a);
if (nc == 1 && nr == 1)
retval = 0;
elseif (nc == 1 || nr == 1)
tmp = sum (a);
n = length (a);
retval = sqrt ((n * sumsq (a) - tmp .* tmp) / (n * (n - 1)));
elseif (nr > 1 && nc > 0)
tmp = sum (a);
retval = sqrt ((nr * sumsq (a) - tmp .* tmp) / (nr * (nr - 1)));
else
error ("mean: invalid matrix argument");
endif
endfunction