Distributions(3pm)

💖 Statistics::Distributions 💖

okay so bestie, you found the manual page for Statistics::Distributions, which lives in the User Contributed Perl Documentation section and is filed under Distributions(3pm). buckle up, we're doing stats today 🎀

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✨ NAME ✨

Statistics::Distributions — a Perl module for calculating critical values and upper probabilities of common statistical distributions 💅

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✨ SYNOPSIS ✨

like, here's the whole vibe in code, no notes:

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";

look at all those distributions getting their moment. iconic behavior honestly 🌸

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✨ DESCRIPTION ✨

okay so real talk: 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. and that's not all — it can also calculate the upper probability (5 significant digits) of the u (standard normal), the chi-square, the t and the F distribution. ✨

why do you care? because these critical values are exactly what you need to perform statistical tests — like the u test, the t test, the F test and the chi-squared test — and to calculate confidence intervals. it's giving "foundational stats homework but make it Perl" 💅

if you're the type who wants more precise algorithms (respect), the author says 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)

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✨ BUGS ✨

this final version 1.02 has been released after more than one year without a bug report on the previous version 0.07. she's stable, she's thriving, we love to see it 🫶

nevertheless — if you find any bugs or oddities, please do inform the author. no gatekeeping, bestie, tell them 😭

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✨ INSTALLATION ✨

see perlmodinstall for information and options on installing Perl modules. that's the whole tea. 🍓

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✨ 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/ . 🦋

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✨ AUTHOR ✨

• Michael Kospach <mike.perl@gmx.at>
• Nice formating, simplification and bug repair by Matthias Trautner Kromann <mtk@id.cbs.dk>

two legends, one module. periodt 👑

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✨ 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. 💜

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✨ SEE ALSO ✨

• Statistics::ChiSquare
• Statistics::Table::t
• Statistics::Table::F
• perl(1)

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ngl if you made it this far you deserve a snack 🍓 go read those other modules, they're all in the same friend group.

and that's a wrap, bestie — this page came to you courtesy of perl v5.32.0, dated 2021-01-05, and it's the Distributions(3pm) page. slay, stay statistically significant, mwah 💖✨🎀