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24 Jul 2003 05:33:16 UTC
- Distribution: Statistics-TTest
- Module version: 1.1
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NAME
Statistics::TTest - Perl module to perform T-test on 2 independent samples Statistics::TTest::Sufficient - Perl module to perfrom T-Test on 2 indepdent samples using sufficient statistics
SYNOPSIS
#example for Statistics::TTest use Statistics::PointEstimation; use Statistics::TTest; my @r1=(); my @r2=(); my $rand; for($i=1;$i<=32;$i++) #generate a uniformly distributed sample with mean=5 { $rand=rand(10); push @r1,$rand; $rand=rand(10)-2; push @r2,$rand; } my $ttest = new Statistics::TTest; $ttest->set_significance(90); $ttest->load_data(\@r1,\@r2); $ttest->output_t_test(); $ttest->set_significance(99); $ttest->print_t_test(); #list out t-test related data #the following thes same as calling output_t_test() (you can check if $ttest->{valid}==1 to check if the data is valid.) my $s1=$ttest->{s1}; #sample 1 a Statistics::PointEstimation object my $s2=$ttest->{s2}; #sample 2 a Statistics::PointEstimation object print "*****************************************************\n\n"; $s1->output_confidence_interval('1'); print "*****************************************************\n\n"; $s2->output_confidence_interval('2'); print "*****************************************************\n\n"; print "Comparison of these 2 independent samples.\n"; print "\t F-statistic=",$ttest->f_statistic()," , cutoff F-statistic=",$ttest->f_cutoff(), " with alpha level=",$ttest->alpha*2," and df =(",$ttest->df1,",",$ttest->df2,")\n"; if($ttest->{equal_variance}) { print "\tequal variance assumption is accepted(not rejected) since F-statistic < cutoff F-statistic\n";} else { print "\tequal variance assumption is rejected since F-statistic > cutoff F-statistic\n";} print "\tdegree of freedom=",$ttest->df," , t-statistic=T=",$ttest->t_statistic," Prob >|T|=",$ttest->{t_prob},"\n"; print "\tthe null hypothesis (the 2 samples have the same mean) is ",$ttest->null_hypothesis(), " since the alpha level is ",$ttest->alpha()*2,"\n"; print "\tdifference of the mean=",$ttest->mean_difference(),", standard error=",$ttest->standard_error(),"\n"; print "\t the estimate of the difference of the mean is ", $ttest->mean_difference()," +/- ",$ttest->delta(),"\n\t", " or (",$ttest->lower_clm()," to ",$ttest->upper_clm," ) with ",$ttest->significance," % of confidence\n"; #example for Statistics::TTest::Sufficient use Statistics::PointEstimation; use Statistics::TTest; my %sample1=( 'count' =>30, 'mean' =>3.98, 'variance' =>2.63 ); my %sample2=( 'count'=>30, 'mean'=>3.67, 'variance'=>1.12 ); my $ttest = new Statistics::TTest::Sufficient; $ttest->set_significance(90); $ttest->load_data(\%sample1,\%sample2); $ttest->output_t_test(); #$ttest->s1->print_confidence_interval(); $ttest->set_significance(99); $ttest->output_t_test(); #$ttest->s1->print_confidence_interval();
DESCRIPTION
Statistics::TTest
This is the Statistical T-Test module to compare 2 independent samples. It takes 2 array of point measures, compute the confidence intervals using the PointEstimation module (which is also included in this package) and use the T-statistic to test the null hypothesis. If the null hypothesis is rejected, the difference will be given as the lower_clm and upper_clm of the TTest object.
Statistics::TTest::Sufficient
This module is a subclass of Statistics::TTest. Instead of taking the real data points as the input, it will compute the confidence intervals based on the sufficient statistics and the sample size inputted. To use this module, you need to pass the sample size, the sample mean , and the sample variance into the load_data() function. The output will be exactly the same as the Statistics::TTest Module.
AUTHOR
Yun-Fang Juan , Yahoo! Inc. (yunfang@yahoo-inc.com)
SEE ALSO
Statistics::Descriptive Statistics::Distributions Statistics::PointEstimation
Module Install Instructions
To install Statistics::TTest, copy and paste the appropriate command in to your terminal.
cpanm Statistics::TTest
perl -MCPAN -e shell install Statistics::TTest
For more information on module installation, please visit the detailed CPAN module installation guide.