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Statistics3
– Statistical Distributions for Ruby I forked Shin-ichiro's statistics2 (sinara@blade.nagaokaut.ac.jp), work, because it is in serious need of modernization for the latest Ruby, and I am currently depending on this library for my RubyNEAT work.For more information (in Japanese and so use Google Translate) . www5.airnet.ne.jp/tomy/cpro/sslib11.htm
** REQUIREMENTS
Ruby 2.2.2 or higher
** Installation
#+begin_src bash gem install statistics3 #+end_src
** Documentation
Note that I've just modernized this fork, and will attempt to add more documentation as time permits.
*** List of all available functions
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binX_(n, p, x)
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bin_x(n, p, x)
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bindens(n, p, x)
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bindist(n, p, x)
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chi2X_(n, x)
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chi2_x(n, x)
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chi2dens(n, x)
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chi2dist(n, x)
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combi(n, x)
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fX_(n1, n2, x)
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f_x(n1, n2, x)
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fdist(n1, n2, f)
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gamma(x)
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loggamma(x)
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newton_a(y, ini, epsilon = 1.0e-6, limit = 30)
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normal_X(z)
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normal___x(z)
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normaldist(z)
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normalxXX_(z)
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normalx__x(z)
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p_nor(z)
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p_t(df, t)
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pchi2(n, y)
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pchi2X_(n, y)
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pchi2_x(n, y)
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pchi2dist(n, y)
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perm(n, x = n)
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pf(q, n1, n2)
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pfX_(n1, n2, x)
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pf_x(n1, n2, x)
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pfdist(n1, n2, y)
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pfsub(x, y, z)
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pnorm(qn)
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pnormal_X(y)
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pnormal___x(y)
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pnormaldist(y)
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pnormalxXX_(z)
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pnormalx__x(y)
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poissonX_(m, x)
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poisson_x(m, x)
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poissondens(m, x)
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poissondist(m, x)
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pt(q, n)
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pt_X(n, y)
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pt___x(n, y)
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ptdist(n, y)
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ptsub(q, n)
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ptxXX_(n, y)
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ptx__x(n, y)
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q_chi2(df, chi2)
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q_f(df1, df2, f)
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t_X(n, x)
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t___x(n, x)
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tdist(n, t)
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txXX_(n, x)
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tx__x(n, x)
*** Distribution
**** Normal Distribution
| Integral of normal distribution over (-Infty, x]. | normalxXX_(z) | | Integral of normal distribution over [0, x]. | normal__X_(z) | | Integral of normal distribution over [x, Infty). | normal___x(z) | | Integral of normal distribution over (-Infty, -x] + [x, Infty). | normalx__x(z) |
**** Inverse of normal-distribution
| P-value of the corresponding integral. | pnormalxXX_(z) | | P-value of the corresponding integral. | pnormal__X_(y) | | P-value of the corresponding integral. | pnormal___x(y) | | P-value of the corresponding integral. | pnormalx__x(y) |
**** Chi2-distribution
| Integral of Chi-squared distribution with n degrees of freedom over [x, Infty). | chi2_x(n, x) | | Integral of Chi-squared distribution with n degrees of freedom over [0, x]. | chi2X_(n, x) |
**** Inverse of chi2-distribution
| P-value of the corresponding integral. | pchi2_x(n, y) | | P-value of the corresponding integral. | pchi2X_(n, y) |
**** t-distribution
| Integral of normal distribution with n degrees of freedom over (-Infty, -x] + [x, Infty). | tx__x(n, x) | | Integral of t-distribution with n degrees of freedom over (-Infty, x]. | txXX_(n, x) | | Integral of t-distribution with n degrees of freedom over [0, x]. | t__X_(n, x) | | Integral of t-distribution with n degrees of freedom over [x, Infty). | t___x(n, x) |
**** inverse of t-distribution
| P-value of the corresponding integral. | ptx__x(n, y) | | P-value of the corresponding integral. | ptxXX_(n, y) | | P-value of the corresponding integral. | pt__X_(n, y) | | P-value of the corresponding integral. | pt___x(n, y) |
**** F-distribution
| Integral of F-distribution with n1 and n2 degrees of freedom over [x, Infty). | f_x(n1, n2, x) | | Integral of F-distribution with n1 and n2 degrees of freedom over [0, x]. | fX_(n1, n2, x) |
**** Inverse of F-distribution
| P-value of the corresponding integral. | pf_x(n1, n2, x) | | P-value of the corresponding integral. | pfX_(n1, n2, x) |
**** Discrete distributions
- binX_(n, p, x) - bin_x(n, p, x) - poissonX_(m, x) - poisson_x(m, x)
** Usage *** Example:
#+begin_src ruby require "statistics3" puts Statistics3.normaldist(0.27) #=> 0.60641987319804 #+end_src
** If you don't want to use the C extension:
#+begin_src ruby require "statistics3/no_ext" puts Statistics3.normaldist(0.27) #=> 0.606419873198039 (delta of 9.99200722162641e-16) #+end_src
** LICENSE:
MIT