PointEstimation(U3s)er Contributed Perl DocumentatiPoonintEstimation(3)


NNNNAAAAMMMMEEEE
       Statistics::PointEstimation - Perl module for computing
       the confidence interval in parameter estimation with Stu-
       dent's T distribution

SSSSYYYYNNNNOOOOPPPPSSSSIIIISSSS
         use Statistics::PointEstimation;

         my @r=();
         for($i=1;$i<=32;$i++) #generate a uniformly distributed sample with mean=5
         {

                 $rand=rand(10);
                 push @r,$rand;
         }

         my $stat = new Statistics::PointEstimation;
         $stat->set_significance(95); #set the significance(confidence) level to 95%
         $stat->add_data(@r);
         $stat->output_confidence_interval(); #output summary
         $stat->print_confidence_interval();  #output the data hash related to confidence interval estimation

         #the following is the same as $stat->output_confidence_interval();
         print "Summary  from the observed values of the sample:\n";
         print "\tsample size= ", $stat->count()," , degree of freedom=", $stat->df(), "\n";
         print "\tmean=", $stat->mean()," , variance=", $stat->variance(),"\n";
         print "\tstandard deviation=", $stat->standard_deviation()," , standard error=", $stat->standard_error(),"\n";
         print "\t the estimate of the mean is ", $stat->mean()," +/- ",$stat->delta(),"\n\t",
         " or (",$stat->lower_clm()," to ",$stat->upper_clm," ) with ",$stat->significance," % of confidence\n";
         print "\t t-statistic=T=",$stat->t_statistic()," , Prob >|T|=",$stat->t_prob(),"\n";


DDDDEEEESSSSCCCCRRRRIIIIPPPPTTTTIIIIOOOONNNN
         This module is a subclass of Statistics::Descriptive::Full. It uses T-distribution for point estimation
         assuming the data is normally distributed or the sample size is sufficiently large. It overrides the
         add_data() method in Statistics::Descriptive to compute the confidence interval with the specified significance
          level (default is 95%). It also computes the t-statistic=T and Prob>|T| in case of hypothesis
         testing of paired T-tests.


AAAAUUUUTTTTHHHHOOOORRRR
       Yun-Fang Juan , Yahoo! Inc.  (yunfang@yahoo-inc.com)

SSSSEEEEEEEE AAAALLLLSSSSOOOO
       Statistics::Descriptive Statistics::Distributions


2003-02-07                 perl v5.6.1         PointEstimation(3)