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NAMEText::NSP::Measures::3D::MI::pmi - Perl module that implements Pointwise Mutual Information for trigrams.SYNOPSISBasic Usageuse Text::NSP::Measures::3D::MI::pmi; $pmi_value = calculateStatistic( n111=>10, n1pp=>40, np1p=>45, npp1=>42, n11p=>20, n1p1=>23, np11=>21, nppp=>100); if( ($errorCode = getErrorCode())) { print STDERR $erroCode." - ".getErrorMessage()."\n"; } else { print getStatisticName."value for bigram is ".$pmi_value."\n"; } DESCRIPTIONThe expected values for the internal cells are calculated by taking the product of their associated marginals and dividing by the sample size, for example:n1pp * np1p * npp1 m111= -------------------- nppp * nppp Pointwise Mutual Information (pmi) is defined as the log of the devitation between the observed frequency of a trigram (n111) and the probability of that trigram if it were independent (m111). PMI = log (n111/m111) Methods
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: pmi.pm,v 1.9 2009/11/03 14:53:55 tpederse Exp $BUGSSEE ALSO@inproceedings{ church89word, author = {Kenneth W. Church and Patrick Hanks}, title = {Word association norms, mutual information, and Lexicography}, booktitle = {Proceedings of the 27th. Annual Meeting of the Association for Computational Linguistics}, publisher = {Association for Computational Linguistics}, address = {Vancouver, B.C.}, pages = {76--83}, year = {1989}, url = L<http://acl.ldc.upenn.edu/J/J90/J90-1003.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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