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=head1 NAME |
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Text::NSP::Measures::3D::MI::ps - Perl module that implements |
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Poisson Stirling Measure for trigrams. |
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=head1 SYNOPSIS |
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=head3 Basic Usage |
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use Text::NSP::Measures::3D::MI::ps; |
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$ps_value = calculateStatistic( n111=>10, |
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n1pp=>40, |
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np1p=>45, |
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npp1=>42, |
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n11p=>20, |
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n1p1=>23, |
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np11=>21, |
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nppp=>100); |
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if( ($errorCode = getErrorCode())) |
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{ |
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print STDERR $erroCode." - ".getErrorMessage()."\n"; |
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} |
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else |
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{ |
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print getStatisticName."value for bigram is ".$ps_value."\n"; |
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} |
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=head1 DESCRIPTION |
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The log-likelihood ratio measures the devitation between the observed data |
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and what would be expected if , and were independent. |
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The higher the score, the less evidence there is in favor of concluding that |
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the words are independent. |
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The expected values for the internal cells are calculated by taking the |
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product of their associated marginals and dividing by the sample size, |
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for example: |
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n1pp * np1p * npp1 |
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m111= -------------------- |
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nppp |
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The poisson stirling measure is a negative lograthimic approximation |
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of the poisson-likelihood measure. It uses the stirlings firmula to |
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approximate the factorial in poisson-likelihood measure. It is |
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computed as follows: |
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Posson-Stirling = n111 * ( log(n111) - log(m111) - 1) |
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=head2 Methods |
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=over |
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=cut |
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package Text::NSP::Measures::3D::MI::ps; |
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use Text::NSP::Measures::3D::MI; |
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use strict; |
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use Carp; |
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use warnings; |
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no warnings 'redefine'; |
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require Exporter; |
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our ($VERSION, @EXPORT, @ISA); |
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@ISA = qw(Exporter); |
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@EXPORT = qw(initializeStatistic calculateStatistic |
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getErrorCode getErrorMessage getStatisticName); |
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$VERSION = '0.97'; |
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=item calculateStatistic() - This method calculates the ps value |
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INPUT PARAMS : $count_values .. Reference of an hash containing |
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the count values computed by the |
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count.pl program. |
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RETURN VALUES : $poissonStirling .. Poisson-Stirling value for this trigram. |
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=cut |
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sub calculateStatistic |
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{ |
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my %values = @_; |
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# computes and returns the observed and expected values from |
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# the frequency combination values. returns 0 if there is an |
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# error in the computation or the values are inconsistent. |
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if( !(Text::NSP::Measures::3D::MI::getValues(\%values)) ) { |
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return; |
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} |
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# Now for the actual calculation of Loglikelihood! |
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my $poissonStirling = 0; |
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# dont want ($nxy / $mxy) to be 0 or less! flag error if so! |
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$poissonStirling = $n111 * (Text::NSP::Measures::3D::MI::computePMI($n111, $m111) - 1); |
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return $poissonStirling; |
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} |
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=item getStatisticName() - Returns the name of this statistic |
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INPUT PARAMS : none |
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RETURN VALUES : $name .. Name of the measure. |
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=cut |
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sub getStatisticName |
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{ |
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return "Poisson-Stirling Measure"; |
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} |
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1; |
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__END__ |