txt: ## dist_zef-sumankhanal-Statistics.md
  [![Linux](https://github.com/sumanstats/Statistics/actions/workflows/linux.yml/badge.svg)](https://github.com/sumanstats/Statistics/actions/workflows/linux.yml)
  [![Win64](https://github.com/sumanstats/Statistics/actions/workflows/windows-spec.yml/badge.svg)](https://github.com/sumanstats/Statistics/actions/workflows/windows-spec.yml)
  [![MacOS](https://github.com/sumanstats/Statistics/actions/workflows/macos.yml/badge.svg)](https://github.com/sumanstats/Statistics/actions/workflows/macos.yml)
  [![Build status](https://ci.appveyor.com/api/projects/status/8k6m9d1e7lcby5bm/branch/main?svg=true)](https://ci.appveyor.com/project/sumanstats/statistics/branch/main)
  
  [![Lifecycle](https://img.shields.io/badge/lifecycle-experimental-brightgreen.svg)](https://github.com/sumanstats/Statistics)
  
  ```
    _____ _        _   _     _   _          
   / ____| |      | | (_)   | | (_)         
  | (___ | |_ __ _| |_ _ ___| |_ _  ___ ___ 
   \___ \| __/ _` | __| / __| __| |/ __/ __|
   ____) | || (_| | |_| \__ \ |_| | (__\__ \
  |_____/ \__\__,_|\__|_|___/\__|_|\___|___/v0.0.6
  
  ```
  
  # NAME
  
  Statistics - Raku module for doing statistics
  
  # SYNOPSIS
  
  ```
  use Statistics;
  
  my @data1 = [6,6,4,6,8,6,8,4,4,6,6,8,8,8,8,8,8,4,4,4,4,8,8,8,8,4,4,4,8,6,8,4];
  my @data2 = [160.0,160.0,108.0,258.0,360.0,225.0,360.0,146.7,140.8,167.6,167.6,
              275.8,275.8,275.8,472.0,460.0,440.0,78.7,75.7,71.1,120.1,318.0,304.0,
              350.0,400.0,79.0,120.3,95.1,351.0,145.0,301.0,121.0];
  
  # central tendency
  mean(@data1); # 6.1875
  median(@data1); # 6
  
  # sample standard deviation
  sd(@data1); # 1.7859216469465444
  
  # population standard deviation
  sd(@data1, sample => False); # 1.757795138803154
  
  # Coefficient of variation
  coef_variation(@data2); # 53.71779066522493
  
  # Five number summary
  fivenum(@data2); # (71.1 120.65 196.3 334 472)
  
  # correlation coefficients
  pearson_cor_coef(@data1, @data2); # 0.9020328721469989
  spearman_cor_coef(@data1, @data2); # 0.9276515785415314
  kendall_cor_coef(@data1, @data2); # 0.8144262510988963
  
  # Biweight_midcorrelation 
  # more robust, less sensitive to outliers
  bi_cor_coef(@data1, @data2); # 0.9146470012038392
  
  # numpy linspace
  linspace(2.1, 3.2, 5, endpoint => False, retstep => False); # [2.1, 2.32, 2.54, 2.76, 2.98]
  linspace(1, 3, 3, endpoint => False, retstep => True); # ([1, 1.666667, 2.333333], 0.666667)
  
  
  # pdf of normal distribution 
  raku_dnorm(5); # 1.4867195147342977e-06
  raku_dnorm(3, mean => 2, sd => 1); # 0.24197072451914337
  raku_dnorm(3, mean => 2, sd => -1); # NaN;
  raku_dnorm(3, mean => 2, sd => 0); # 0;
  
  # cdf of normal distribution 
  raku_pnorm(5); # 0.9999997133484281
  raku_pnorm(4, mean => 2, sd => 3); # 0.7475074624530771
  raku_pnorm(4, mean => 2, sd => 3, log_p => True) # -0.29101099055230867
  
  
  raku_qnorm(5); # NaN
  
  
  # Random number generator for normal distribution 
  set_seed(111,222);
  raku_rnorm(12) # (0.2933064931910023 -0.43157564134676835 0.1280404124560668 -1.001461811038476 -0.9219453227924342 1.2988990178409578 -0.46867271131577315 -1.2678609176619775 0.3596981905325252 0.35262105537769173 0.5770092689090144 -1.0392300758070165) 
  
  # Multinomial coefficients
  multinomial_coef([3,1,1,3,4.2, 8, 90, 40]); # 2.717246116384229e+69;
  multinomial_coef([3,1,1,3,4.2, 8, 90, 140]); # 1.0317825100856673e+106;
  multinomial_coef([2,4,5,7]); # 220540320
  
  multinomial_coef_excel([3,1.9,1,3,4.2]); # 554400;
  
  ```
  
  # DESCRIPTION
  
  Statistics is a module to make it easier to do statistics in Raku programming language.
  
  ## Features
  
  * descriptive statistics
  * correlation coefficients
  * pdf, cdf of probability distributions
  * random number generators
  * parametric tests
  * non-parametric tests
  
  ### INSTALLATION
  
  The module contains **compiled** code. `gcc`, `cmake` and `ninja`
  are required for compilation and should be available in `PATH`.
  
  ### ISSUES
  
  <https://github.com/sumanstats/Statistics/issues>
  
  ### PULL REQUESTS
  
  Improvement of the code base and efficient implementation of the algorithms are welcome.
  
  # AUTHOR
  
  Dr Suman Khanal [suman81765@gmail.com](mailto:suman81765@gmail.com)
  
  # COPYRIGHT AND LICENSE
  
  Copyright 2022 Dr Suman Khanal
  
  This library is free software; you can redistribute it and/or modify it under the Artistic License 2.0.
  