NAME
Text::NSP::Measures::2D::Dice::jaccard - Statistical library package to calculate the Jaccard Coefficient.
SYNOPSIS
Basic Usage
use Text::NSP::Measures::2D::Dice::jaccard;
my $jaccard = Text::NSP::Measures::2D::Dice::jaccard->new();
my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10;
$jaccard_value = $jaccard->calculateStatistic( n11=>$n11,
n1p=>$n1p,
np1=>$np1,
npp=>$npp);
if( ($errorCode = $jaccard->getErrorCode()))
{
print STDERR $erroCode." - ".$jaccard->getErrorMessage();
}
else
{
print $jaccard->getStatisticName."value for bigram is ".$jaccard_value;
}
DESCRIPTION
Assume that the frequency count data associated with a bigram <word1><word2> is stored in a 2x2 contingency table:
word2 ~word2
word1 n11 n12 | n1p
~word1 n21 n22 | n2p
--------------
np1 np2 npp
where n11 is the number of times <word1><word2> occur together, and n12 is the number of times <word1> occurs with some word other than word2, and n1p is the number of times in total that word1 occurs as the first word in a bigram.
The Jaccard Coefficient is the ratio of number of times the words occur together to the number of times atleast any one of the words occur. It is defined as:
n11
---------------
n11 + n12 + n21
The Jaccard coefficient can also be computed by applying a transformation to the dice coefficient:
$jaccard = $dice/(2-$dice)
We use this computation of jaccard in our implementation.
Methods
- calculateStatistic() - method to calculate the jaccard coefficient value
-
INPUT PARAMS : $count_values .. Reference of an hash containing the count values computed by the count.pl program.
RETURN VALUES : $jaccard .. Jaccard Coefficient value for this bigram.
- getStatisticName() - Returns the name of this statistic
-
INPUT PARAMS : none
RETURN VALUES : $name .. Name of the measure.
AUTHOR
Ted Pedersen, University of Minnesota Duluth <tpederse@d.umn.edu>
Satanjeev Banerjee, Carnegie Mellon University <satanjeev@cmu.edu>
Amruta Purandare, University of Pittsburgh <amruta@cs.pitt.edu>
Bridget Thomson-McInnes, University of Minnesota Twin Cities <bthompson@d.umn.edu>
Saiyam Kohli, University of Minnesota Duluth <kohli003@d.umn.edu>
HISTORY
Last updated: $Id: jaccard.pm,v 1.5 2006/06/15 16:53:03 saiyam_kohli Exp $
BUGS
SEE ALSO
http://groups.yahoo.com/group/ngram/
http://www.d.umn.edu/~tpederse/nsp.html
COPYRIGHT
Copyright (C) 2000-2006, Ted Pedersen, Satanjeev Banerjee, Amruta Purandare, Bridget Thomson-McInnes and Saiyam Kohli
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.,
59 Temple Place - Suite 330,
Boston, MA 02111-1307, USA.
Note: a copy of the GNU General Public License is available on the web at http://www.gnu.org/licenses/gpl.txt and is included in this distribution as GPL.txt.