Statsample

Homepage :: https://github.com/clbustos/statsample

DESCRIPTION

A suite for basic and advanced statistics on Ruby. Tested on Ruby 2.1.1p76 (June 2014), 1.8.7, 1.9.1, 1.9.2 (April, 2010), ruby-head(June, 2011) and JRuby 1.4 (Ruby 1.8.7 compatible).

Include:

• Descriptive statistics: frequencies, median, mean, standard error, skew, kurtosis (and many others).
• Imports and exports datasets from and to Excel, CSV and plain text files.
• Correlations: Pearson's r, Spearman's rank correlation (rho), point biserial, tau a, tau b and gamma. Tetrachoric and Polychoric correlation provides by +statsample-bivariate-extension+ gem.
• Intra-class correlation
• Anova: generic and vector-based One-way ANOVA and Two-way ANOVA, with contrasts for One-way ANOVA.
• Tests: F, T, Levene, U-Mannwhitney.
• Regression: Simple, Multiple (OLS), Probit and Logit
• Factorial Analysis: Extraction (PCA and Principal Axis), Rotation (Varimax, Equimax, Quartimax) and Parallel Analysis and Velicer's MAP test, for estimation of number of factors.
• Reliability analysis for simple scale and a DSL to easily analyze multiple scales using factor analysis and correlations, if you want it.
• Basic time series support
• Dominance Analysis, with multivariate dependent and bootstrap (Azen & Budescu)
• Sample calculation related formulas
• Structural Equation Modeling (SEM), using R libraries +sem+ and +OpenMx+
• Creates reports on text, html and rtf, using ReportBuilder gem
• Graphics: Histogram, Boxplot and Scatterplot

Principles

• Software Design:
  • One module/class for each type of analysis
  • Options can be set as hash on initialize() or as setters methods
  • Clean API for interactive sessions
  • summary() returns all necessary informacion for interactive sessions
  • All statistical data available though methods on objects
  • All (important) methods should be tested. Better with random data.
• Statistical Design
  • Results are tested against text results, SPSS and R outputs.
  • Go beyond Null Hiphotesis Testing, using confidence intervals and effect sizes when possible
  • (When possible) All references for methods are documented, providing sensible information on documentation

Features

• Classes for manipulation and storage of data:
  • Statsample::Vector: An extension of an array, with statistical methods like sum, mean and standard deviation
  • Statsample::Dataset: a group of Statsample::Vector, analog to a excel spreadsheet or a dataframe on R. The base of almost all operations on statsample.
  • Statsample::Multiset: multiple datasets with same fields and type of vectors
• Anova module provides generic Statsample::Anova::OneWay and vector based Statsample::Anova::OneWayWithVectors. Also you can create contrast using Statsample::Anova::Contrast
• Module Statsample::Bivariate provides covariance and pearson, spearman, point biserial, tau a, tau b, gamma, tetrachoric (see Bivariate::Tetrachoric) and polychoric (see Bivariate::Polychoric) correlations. Include methods to create correlation and covariance matrices
• Multiple types of regression.
  • Simple Regression : Statsample::Regression::Simple
  • Multiple Regression: Statsample::Regression::Multiple
  • Logit Regression: Statsample::Regression::Binomial::Logit
  • Probit Regression: Statsample::Regression::Binomial::Probit
• Factorial Analysis algorithms on Statsample::Factor module.
  • Classes for Extraction of factors:
    • Statsample::Factor::PCA
    • Statsample::Factor::PrincipalAxis
  • Classes for Rotation of factors:
    • Statsample::Factor::Varimax
    • Statsample::Factor::Equimax
    • Statsample::Factor::Quartimax
  • Classes for calculation of factors to retain
    • Statsample::Factor::ParallelAnalysis performs Horn's 'parallel analysis' to a principal components analysis to adjust for sample bias in the retention of components.
    • Statsample::Factor::MAP performs Velicer's Minimum Average Partial (MAP) test, which retain components as long as the variance in the correlation matrix represents systematic variance.
• Dominance Analysis. Based on Budescu and Azen papers, dominance analysis is a method to analyze the relative importance of one predictor relative to another on multiple regression
  • Statsample::DominanceAnalysis class can report dominance analysis for a sample, using uni or multivariate dependent variables
  • Statsample::DominanceAnalysis::Bootstrap can execute bootstrap analysis to determine dominance stability, as recomended by Azen & Budescu (2003) link[http://psycnet.apa.org/journals/met/8/2/129/].
• Module Statsample::Codification, to help to codify open questions
• Converters to import and export data:
  • Statsample::Database : Can create sql to create tables, read and insert data
  • Statsample::CSV : Read and write CSV files
  • Statsample::Excel : Read and write Excel files
  • Statsample::Mx : Write Mx Files
  • Statsample::GGobi : Write Ggobi files
• Module Statsample::Crosstab provides function to create crosstab for categorical data
• Module Statsample::Reliability provides functions to analyze scales with psychometric methods.
  • Class Statsample::Reliability::ScaleAnalysis provides statistics like mean, standard deviation for a scale, Cronbach's alpha and standarized Cronbach's alpha, and for each item: mean, correlation with total scale, mean if deleted, Cronbach's alpha is deleted.
  • Class Statsample::Reliability::MultiScaleAnalysis provides a DSL to easily analyze reliability of multiple scales and retrieve correlation matrix and factor analysis of them.
  • Class Statsample::Reliability::ICC provides intra-class correlation, using Shrout & Fleiss(1979) and McGraw & Wong (1996) formulations.
• Module Statsample::SRS (Simple Random Sampling) provides a lot of functions to estimate standard error for several type of samples
• Module Statsample::Test provides several methods and classes to perform inferencial statistics
  • Statsample::Test::BartlettSphericity
  • Statsample::Test::ChiSquare
  • Statsample::Test::F
  • Statsample::Test::KolmogorovSmirnov (only D value)
  • Statsample::Test::Levene
  • Statsample::Test::UMannWhitney
  • Statsample::Test::T
  • Statsample::Test::WilcoxonSignedRank
• Module Graph provides several classes to create beautiful graphs using rubyvis
  • Statsample::Graph::Boxplot
  • Statsample::Graph::Histogram
  • Statsample::Graph::Scatterplot
• Gem bio-statsample-timeseries provides module Statsample::TimeSeries with support for time series, including ARIMA estimation using Kalman-Filter.
• Gem statsample-sem provides a DSL to R libraries +sem+ and +OpenMx+
• Gem statsample-glm provides you with GML method, to work with Logistic, Poisson and Gaussian regression ,using ML or IRWLS.
• Close integration with gem reportbuilder, to easily create reports on text, html and rtf formats.

Examples of use:

See the examples folder too.

Boxplot

require 'statsample'

ss_analysis(Statsample::Graph::Boxplot) do 
  n=30
  a=rnorm(n-1,50,10)
  b=rnorm(n, 30,5)
  c=rnorm(n,5,1)
  a.push(2)
  boxplot(:vectors=>[a,b,c], :width=>300, :height=>300, :groups=>%w{first first second}, :minimum=>0)
end
Statsample::Analysis.run # Open svg file on *nix application defined

Correlation matrix

require 'statsample'
# Note R like generation of random gaussian variable
# and correlation matrix

ss_analysis("Statsample::Bivariate.correlation_matrix") do
  samples=1000
  ds=data_frame(
    'a'=>rnorm(samples), 
    'b'=>rnorm(samples),
    'c'=>rnorm(samples),
    'd'=>rnorm(samples))
  cm=cor(ds) 
  summary(cm)
end

Statsample::Analysis.run_batch # Echo output to console

Requirements

Optional:

• Plotting: gnuplot and rbgnuplot, SVG::Graph
• Factorial analysis and polychorical correlation(joint estimate and polychoric series): gsl library and rb-gsl (https://rubygems.org/gems/rb-gsl/). You should install it using gem install rb-gsl.

Note: Use gsl 1.12.109 or later.

Resources

• Source code on github :: http://github.com/clbustos/statsample
• Docs :: http://statsample.apsique.cl/
• Bug report and feature request :: http://github.com/clbustos/statsample/issues
• E-mailing list :: http://groups.google.com/group/statsample

Installation

$ sudo gem install statsample

On *nix, you should install statsample-optimization to retrieve gems gsl, statistics2 and a C extension to speed some methods.

There are available precompiled version for Ruby 1.9 on x86, x86_64 and mingw32 archs.

$ sudo gem install statsample-optimization

If you use Ruby 1.8, you should compile statsample-optimization, usign parameter --platform ruby

$ sudo gem install statsample-optimization --platform ruby

If you need to work on Structural Equation Modeling, you could see +statsample-sem+. You need R with +sem+ or +OpenMx+ [http://openmx.psyc.virginia.edu/] libraries installed

$ sudo gem install statsample-sem

Available setup.rb file

sudo gem ruby setup.rb

License

BSD-3 (See LICENSE.txt)

Could change between version, without previous warning. If you want a specific license, just choose the version that you need.