blob: cb865835c6b9d4755b2c5651d001eee789c2264a [file] [log] [blame]
/* statistics/wabsdev_source.c
*
* Copyright (C) 1996, 1997, 1998, 1999, 2000 Jim Davies, Brian Gough
*
* 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 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, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
*/
double
FUNCTION(gsl_stats,wabsdev) (const BASE w[], const size_t wstride, const BASE data[], const size_t stride, const size_t n)
{
const double wmean = FUNCTION(gsl_stats,wmean)(w, wstride, data, stride, n);
return FUNCTION(gsl_stats,wabsdev_m)(w, wstride, data, stride, n, wmean);
}
double
FUNCTION(gsl_stats,wabsdev_m) (const BASE w[], const size_t wstride, const BASE data[], const size_t stride, const size_t n, const double wmean)
{
/* Compute the weighted absolute deviation of a dataset */
long double wabsdev = 0;
long double W = 0;
size_t i;
/* find the sum of the absolute deviations */
for (i = 0; i < n; i++)
{
BASE wi = w[i * wstride];
if (wi > 0) {
const long double delta = fabs(data[i * stride] - wmean);
W += wi ;
wabsdev += (delta - wabsdev) * (wi / W);
}
}
return wabsdev;
}