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/* statistics/ttest_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,ttest) (const BASE data1[],
const size_t stride1, const size_t n1,
const BASE data2[],
const size_t stride2, const size_t n2)
{
/* runs a t-test between two datasets representing independent
samples. Tests to see if the difference between means of the
samples is different from zero */
/* find means for the two samples */
const double mean1 = FUNCTION(gsl_stats,mean) (data1, stride1, n1);
const double mean2 = FUNCTION(gsl_stats,mean) (data2, stride2, n2);
/* find pooled variance for the two samples */
const double pv = FUNCTION(gsl_stats,pvariance) (data1, stride1, n1, data2, stride2, n2);
/* calculate the t statistic */
const double t = (mean1 - mean2) / (sqrt (pv * ((1.0 / n1) + (1.0 / n2))));
return t;
}