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NAMEText::NSP::Measures::2D::odds - Perl module to compute the Odds ratio for bigrams.SYNOPSISBasic Usageuse Text::NSP::Measures::2D::odds; my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10; $odds_value = calculateStatistic( n11=>$n11, n1p=>$n1p, np1=>$np1, npp=>$npp); if( ($errorCode = getErrorCode())) { print STDERR $errorCode." - ".getErrorMessage()."\n""; } else { print getStatisticName."value for bigram is ".$odds_value."\n""; } DESCRIPTIONAssume 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 odds ratio computes the ratio of the number of times that the words in a bigram occur together (or not at all) to the number of times the words occur individually. It is the cross product of the diagonal and the off-diagonal. Thus, ODDS RATIO = n11*n22/n21*n12 if n21 and/or n12 is 0, then each zero value is "smoothed" to one to avoid a zero in the denominator.
AUTHORTed 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> HISTORYLast updated: $Id: odds.pm,v 1.18 2006/06/21 11:10:52 saiyam_kohli Exp $BUGSSEE ALSO@inproceedings{ blaheta01unsupervised, author = {D. BLAHETA and M. JOHNSON}, title = {Unsupervised learning of multi-word verbs}, booktitle = {}Proceedings of the 39th Annual Meeting of the ACL}, year = {2001}, pages = {54-60}, url = L<http://www.cog.brown.edu/~mj/papers/2001/dpb-colloc01.pdf> } <http://groups.yahoo.com/group/ngram/> <http://www.d.umn.edu/~tpederse/nsp.html> COPYRIGHTCopyright (C) 2000-2006, Ted Pedersen, Satanjeev Banerjee, Amruta Purandare, Bridget Thomson-McInnes and Saiyam KohliThis 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.
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