cmtkMathUtil_Statistics.cxx

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00001 /*
00002 //
00003 //  Copyright 1997-2009 Torsten Rohlfing
00004 //
00005 //  Copyright 2004-2010 SRI International
00006 //
00007 //  This file is part of the Computational Morphometry Toolkit.
00008 //
00009 //  http://www.nitrc.org/projects/cmtk/
00010 //
00011 //  The Computational Morphometry Toolkit is free software: you can
00012 //  redistribute it and/or modify it under the terms of the GNU General Public
00013 //  License as published by the Free Software Foundation, either version 3 of
00014 //  the License, or (at your option) any later version.
00015 //
00016 //  The Computational Morphometry Toolkit is distributed in the hope that it
00017 //  will be useful, but WITHOUT ANY WARRANTY; without even the implied
00018 //  warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
00019 //  GNU General Public License for more details.
00020 //
00021 //  You should have received a copy of the GNU General Public License along
00022 //  with the Computational Morphometry Toolkit.  If not, see
00023 //  <http://www.gnu.org/licenses/>.
00024 //
00025 //  $Revision: 2425 $
00026 //
00027 //  $LastChangedDate: 2010-10-07 16:14:23 -0700 (Thu, 07 Oct 2010) $
00028 //
00029 //  $LastChangedBy: torstenrohlfing $
00030 //
00031 */
00032 
00033 #include "cmtkMathUtil.h"
00034 
00035 #include <Base/cmtkTypes.h>
00036 #include <System/cmtkConsole.h>
00037 #include "Numerics/ibetaf.h"
00038 
00039 namespace
00040 cmtk
00041 {
00042 
00045 
00046 double
00047 MathUtil::TStatFromCorrelation
00048 ( const double r, const size_t df )
00049 {
00050   return r * sqrt( df / (1-r*r) ); 
00051 }
00052 
00053 double 
00054 MathUtil::ProbabilityFromTStat
00055 ( const double t, const size_t df )
00056 {
00057   double stat;
00058   if ( df == 0.0 )
00059     stat = 0.0;
00060   else if ( t == 0.0 )
00061     stat = 1.0;
00062   else
00063     stat = df/(df+t*t);
00064 
00065   return alglib::incompletebeta( 0.5*df, 0.5, stat );
00066 }
00067 
00068 } // namespace cmtk
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