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=head1 NAME |
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Text::NSP::Measures::2D::odds - Perl module to compute the Odds |
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ratio for bigrams. |
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=head1 SYNOPSIS |
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=head3 Basic Usage |
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use Text::NSP::Measures::2D::odds; |
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my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10; |
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$odds_value = calculateStatistic( n11=>$n11, |
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n1p=>$n1p, |
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np1=>$np1, |
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npp=>$npp); |
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if( ($errorCode = getErrorCode())) |
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{ |
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print STDERR $errorCode." - ".getErrorMessage()."\n""; |
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} |
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else |
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{ |
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print getStatisticName."value for bigram is ".$odds_value."\n""; |
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} |
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=head1 DESCRIPTION |
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Assume that the frequency count data associated with a bigram |
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is stored in a 2x2 contingency table: |
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word2 ~word2 |
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word1 n11 n12 | n1p |
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~word1 n21 n22 | n2p |
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-------------- |
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np1 np2 npp |
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where n11 is the number of times occur together, and |
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n12 is the number of times occurs with some word other than |
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word2, and n1p is the number of times in total that word1 occurs as |
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the first word in a bigram. |
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The odds ratio computes the ratio of the number of times that |
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the words in a bigram occur together (or not at all) to the |
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number of times the words occur individually. It is the cross |
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product of the diagonal and the off-diagonal. |
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Thus, ODDS RATIO = n11*n22/n21*n12 |
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if n21 and/or n12 is 0, then each zero value is "smoothed" to one to |
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avoid a zero in the denominator. |
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=over |
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=cut |
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package Text::NSP::Measures::2D::odds; |
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use Text::NSP::Measures::2D; |
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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() - method to calculate the odds ratio 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 : $odds .. Odds ratio for this bigram. |
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=cut |
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sub calculateStatistic |
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{ |
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my %values = @_; |
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# computes and returns the marginal totals from the frequency |
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# combination values. returns undef if there is an error in |
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# the computation or the values are inconsistent. |
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if(!(Text::NSP::Measures::2D::computeMarginalTotals(\%values)) ){ |
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return; |
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} |
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# computes and returns the observed from the frequency |
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# combination values. returns 0 if there is an error in |
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# the computation or the values are inconsistent. |
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if( !(Text::NSP::Measures::2D::computeObservedValues(\%values)) ) { |
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return(0); |
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} |
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# Add-one smoothing to avoid zero denominator |
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if ($n21 == 0) |
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{ |
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$n21 = 1; |
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} |
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if ($n12 == 0) |
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{ |
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$n12 = 1; |
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} |
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my $odds = (($n11*$n22) / ($n12*$n21)); |
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return ($odds); |
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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 "Odds Ratio"; |
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} |
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1; |
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__END__ |