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statistics.m
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1997-02-19
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## Copyright (C) 1995, 1996, 1997 Kurt Hornik
##
## 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 2, 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 file. If not, write to the Free Software Foundation,
## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
## usage: S = statistics (X)
##
## If X is a matrix, return a matrix S with the min, first quartile,
## median, third quartile, max, mean, std, skewness and kurtosis of the
## columns of X as its rows.
##
## If X is a vector, treat it as a column vector.
## Author: KH <Kurt.Hornik@ci.tuwien.ac.at>
## Description: Compute basic statistics
function S = statistics (X)
if (nargin != 1)
usage ("S = statistics (X)");
endif
if (prod (size (X)) > 1)
if (is_vector (X))
X = reshape (X, length (X), 1);
endif
for k=1:columns(X)
S(:,k) = [min (X(:,k)); empirical_inv ([0.25;0.5;0.75], X(:,k));
max (X(:,k)); mean (X(:,k)); std (X(:,k));
skewness (X(:,k)); kurtosis (X(:,k))];
endfor
else
error ("statistics: invalid argument");
endif
endfunction