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Distributions(3)      User Contributed Perl Documentation     Distributions(3)

NAME
       Statistics::Distributions - Perl	module for calculating critical	values
       and upper probabilities of common statistical distributions

SYNOPSIS
	 use Statistics::Distributions;

	 $chis=Statistics::Distributions::chisqrdistr (2,.05);
	 print "Chi-squared-crit (2 degrees of freedom,	95th percentile	"
	      ."= 0.05 level) =	$chis\n";

	 $u=Statistics::Distributions::udistr (.05);
	 print "u-crit (95th percentile	= 0.05 level) =	$u\n";

	 $t=Statistics::Distributions::tdistr (1,.005);
	 print "t-crit (1 degree of freedom, 99.5th percentile = 0.005 level) "
	      ."= $t\n";

	 $f=Statistics::Distributions::fdistr (1,3,.01);
	 print "F-crit (1 degree of freedom in numerator, 3 degrees of freedom "
	      ."in denominator,	99th percentile	= 0.01 level) =	$f\n";

	 $uprob=Statistics::Distributions::uprob (-0.85);
	 print "upper probability of the u distribution	(u = -0.85): Q(u) "
	      ."= 1-G(u) = $uprob\n";

	 $chisprob=Statistics::Distributions::chisqrprob (3,6.25);
	 print "upper probability of the chi-square distribution (3 degrees "
	      ."of freedom, chi-squared	= 6.25): Q = 1-G = $chisprob\n";

	 $tprob=Statistics::Distributions::tprob (3,6.251);
	 print "upper probability of the t distribution	(3 degrees of "
	      ."freedom, t = 6.251): Q = 1-G = $tprob\n";

	 $fprob=Statistics::Distributions::fprob (3,5,.625);
	 print "upper probability of the F distribution	(3 degrees of freedom "
	      ."in numerator, 5	degrees	of freedom in denominator, F = 6.25): "
	      ."Q = 1-G	= $fprob\n";

DESCRIPTION
       This Perl module	calculates percentage points (5	significant digits) of
       the u (standard normal) distribution, the student's t distribution, the
       chi-square distribution and the F distribution. It can also calculate
       the upper probability (5	significant digits) of the u (standard
       normal),	the chi-square,	the t and the F	distribution.  These critical
       values are needed to perform statistical	tests, like the	u test,	the t
       test, the F test	and the	chi-squared test, and to calculate confidence
       intervals.

       If you are interested in	more precise algorithms	you could look at:
	StatLib: http://lib.stat.cmu.edu/apstat/ ;
	Applied	Statistics Algorithms by Griffiths, P. and Hill, I.D., Ellis
       Horwood:	Chichester (1985)

BUGS
       This final version 1.02 has been	released after more than one year
       without a bug report on the previous version 0.07.  Nevertheless, if
       you find	any bugs or oddities, please do	inform the author.

INSTALLATION
       See perlmodinstall for information and options on installing Perl
       modules.

AVAILABILITY
       The latest version of this module is available from the Distribution
       Perl Archive Network (CPAN). Please visit http://www.cpan.org/ to find
       a CPAN site near	you or see http://www.cpan.org/authors/id/M/MI/MIKEK/
       .

AUTHOR
       Michael Kospach <mike.perl@gmx.at>

       Nice formating, simplification and bug repair by	Matthias Trautner
       Kromann <mtk@id.cbs.dk>

COPYRIGHT
       Copyright 2003 Michael Kospach. All rights reserved.

       This library is free software; you can redistribute it and/or modify it
       under the same terms as Perl itself.

SEE ALSO
       Statistics::ChiSquare, Statistics::Table::t, Statistics::Table::F,
       perl(1).

perl v5.24.1			  2003-10-01		      Distributions(3)

NAME | SYNOPSIS | DESCRIPTION | BUGS | INSTALLATION | AVAILABILITY | AUTHOR | COPYRIGHT | SEE ALSO

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