# Statistics

# Introduction

Warning

This extension is unmaintained.

This is the statistics extension. It contains few dozens of functions useful for statistical computations. It is a wrapper around 2 scientific libraries, namely DCDFLIB (Library of C routines for Cumulative Distributions Functions, Inverses, and Other parameters) by B. Brown & J. Lavato and RANDLIB by Barry Brown, James Lavato & Kathy Russell. Includes CD and PD functions.

- Installing/Configuring
  - Requirements
  - Installation
- Statistic Functions
  - stats_absolute_deviation — Returns the absolute deviation of an array of values
  - stats_cdf_beta — Calculates any one parameter of the beta distribution given values for the others
  - stats_cdf_binomial — Calculates any one parameter of the binomial distribution given values for the others
  - stats_cdf_cauchy — Calculates any one parameter of the Cauchy distribution given values for the others
  - stats_cdf_chisquare — Calculates any one parameter of the chi-square distribution given values for the others
  - stats_cdf_exponential — Calculates any one parameter of the exponential distribution given values for the others
  - stats_cdf_f — Calculates any one parameter of the F distribution given values for the others
  - stats_cdf_gamma — Calculates any one parameter of the gamma distribution given values for the others
  - stats_cdf_laplace — Calculates any one parameter of the Laplace distribution given values for the others
  - stats_cdf_logistic — Calculates any one parameter of the logistic distribution given values for the others
  - stats_cdf_negative_binomial — Calculates any one parameter of the negative binomial distribution given values for the others
  - stats_cdf_noncentral_chisquare — Calculates any one parameter of the non-central chi-square distribution given values for the others
  - stats_cdf_noncentral_f — Calculates any one parameter of the non-central F distribution given values for the others
  - stats_cdf_noncentral_t — Calculates any one parameter of the non-central t-distribution give values for the others
  - stats_cdf_normal — Calculates any one parameter of the normal distribution given values for the others
  - stats_cdf_poisson — Calculates any one parameter of the Poisson distribution given values for the others
  - stats_cdf_t — Calculates any one parameter of the t-distribution given values for the others
  - stats_cdf_uniform — Calculates any one parameter of the uniform distribution given values for the others
  - stats_cdf_weibull — Calculates any one parameter of the Weibull distribution given values for the others
  - stats_covariance — Computes the covariance of two data sets
  - stats_dens_beta — Probability density function of the beta distribution
  - stats_dens_cauchy — Probability density function of the Cauchy distribution
  - stats_dens_chisquare — Probability density function of the chi-square distribution
  - stats_dens_exponential — Probability density function of the exponential distribution
  - stats_dens_f — Probability density function of the F distribution
  - stats_dens_gamma — Probability density function of the gamma distribution
  - stats_dens_laplace — Probability density function of the Laplace distribution
  - stats_dens_logistic — Probability density function of the logistic distribution
  - stats_dens_normal — Probability density function of the normal distribution
  - stats_dens_pmf_binomial — Probability mass function of the binomial distribution
  - stats_dens_pmf_hypergeometric — Probability mass function of the hypergeometric distribution
  - stats_dens_pmf_negative_binomial — Probability mass function of the negative binomial distribution
  - stats_dens_pmf_poisson — Probability mass function of the Poisson distribution
  - stats_dens_t — Probability density function of the t-distribution
  - stats_dens_uniform — Probability density function of the uniform distribution
  - stats_dens_weibull — Probability density function of the Weibull distribution
  - stats_harmonic_mean — Returns the harmonic mean of an array of values
  - stats_kurtosis — Computes the kurtosis of the data in the array
  - stats_rand_gen_beta — Generates a random deviate from the beta distribution
  - stats_rand_gen_chisquare — Generates a random deviate from the chi-square distribution
  - stats_rand_gen_exponential — Generates a random deviate from the exponential distribution
  - stats_rand_gen_f — Generates a random deviate from the F distribution
  - stats_rand_gen_funiform — Generates uniform float between low (exclusive) and high (exclusive)
  - stats_rand_gen_gamma — Generates a random deviate from the gamma distribution
  - stats_rand_gen_ibinomial — Generates a random deviate from the binomial distribution
  - stats_rand_gen_ibinomial_negative — Generates a random deviate from the negative binomial distribution
  - stats_rand_gen_int — Generates random integer between 1 and 2147483562
  - stats_rand_gen_ipoisson — Generates a single random deviate from a Poisson distribution
  - stats_rand_gen_iuniform — Generates integer uniformly distributed between LOW (inclusive) and HIGH (inclusive)
  - stats_rand_gen_noncentral_chisquare — Generates a random deviate from the non-central chi-square distribution
  - stats_rand_gen_noncentral_f — Generates a random deviate from the noncentral F distribution
  - stats_rand_gen_noncentral_t — Generates a single random deviate from a non-central t-distribution
  - stats_rand_gen_normal — Generates a single random deviate from a normal distribution
  - stats_rand_gen_t — Generates a single random deviate from a t-distribution
  - stats_rand_get_seeds — Get the seed values of the random number generator
  - stats_rand_phrase_to_seeds — Generate two seeds for the RGN random number generator
  - stats_rand_ranf — Generates a random floating point number between 0 and 1
  - stats_rand_setall — Set seed values to the random generator
  - stats_skew — Computes the skewness of the data in the array
  - stats_standard_deviation — Returns the standard deviation
  - stats_stat_binomial_coef — Returns a binomial coefficient
  - stats_stat_correlation — Returns the Pearson correlation coefficient of two data sets
  - stats_stat_factorial — Returns the factorial of an integer
  - stats_stat_independent_t — Returns the t-value from the independent two-sample t-test
  - stats_stat_innerproduct — Returns the inner product of two vectors
  - stats_stat_paired_t — Returns the t-value of the dependent t-test for paired samples
  - stats_stat_percentile — Returns the percentile value
  - stats_stat_powersum — Returns the power sum of a vector
  - stats_variance — Returns the variance

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