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**Statistical software** are specialized computer programs for analysis in statistics and econometrics.

A **computer program** is a collection of instructions that performs a specific task when executed by a computer. Most computer devices require programs to function properly.

**Statistics** is the discipline that concerns the collection, organization, displaying, analysis, interpretation and presentation of data. In applying statistics to a scientific, industrial, or social problem, it is conventional to begin with a statistical population or a statistical model to be studied. Populations can be diverse groups of people or objects such as "all people living in a country" or "every atom composing a crystal". Statistics deals with every aspect of data, including the planning of data collection in terms of the design of surveys and experiments. See glossary of probability and statistics.

**Econometrics** is the application of statistical methods to economic data in order to give empirical content to economic relationships. More precisely, it is "the quantitative analysis of actual economic phenomena based on the concurrent development of theory and observation, related by appropriate methods of inference". An introductory economics textbook describes econometrics as allowing economists "to sift through mountains of data to extract simple relationships". The first known use of the term "econometrics" was by Polish economist Paweł Ciompa in 1910. Jan Tinbergen is considered by many to be one of the founding fathers of econometrics. Ragnar Frisch is credited with coining the term in the sense in which it is used today.

- ADaMSoft – a generalized statistical software with data mining algorithms and methods for data management
- ADMB – a software suite for non-linear statistical modeling based on C++ which uses automatic differentiation
- Bayesian Filtering Library
- Chronux – for neurobiological time series data
- DAP – free replacement for SAS
- Environment for DeveLoping KDD-Applications Supported by Index-Structures (ELKI) a software framework for developing data mining algorithms in Java
- Fityk – nonlinear regression software (GUI and command line)
- GNU Octave – programming language very similar to MATLAB with statistical features
- gretl – gnu regression, econometrics and time-series library
- intrinsic Noise Analyzer (iNA) – For analyzing intrinsic fluctuations in biochemical systems
- JASP – A free software alternative to IBM SPSS Statistics with additional option for Bayesian methods
- Just another Gibbs sampler (JAGS) – a program for analyzing Bayesian hierarchical models using Markov chain Monte Carlo developed by Martyn Plummer. It is similar to WinBUGS
- JMulTi – For econometric analysis, specialised in univariate and multivariate time series analysis
- KNIME - An open source analytics platform built with Java and Eclipse using modular data pipeline workflows
- LIBSVM – C++ support vector machine libraries
- mlpack – open-source library for machine learning, exploits C++ language features to provide maximum performance and flexibility while providing a simple and consistent application programming interface (API)
- Mondrian – data analysis tool using interactive statistical graphics with a link to R
- Neurophysiological Biomarker Toolbox – Matlab toolbox for data-mining of neurophysiological biomarkers
- OpenBUGS
- OpenEpi – A web-based, open-source, operating-independent series of programs for use in epidemiology and statistics based on JavaScript and HTML
- OpenNN – A software library written in the programming language C++ which implements neural networks, a main area of deep learning research
- OpenMx – A package for structural equation modeling running in R (programming language)
- Orange, a data mining, machine learning, and bioinformatics software
- Pandas – High-performance computing (HPC) data structures and data analysis tools for Python in Python and Cython (statsmodels, scikit-learn)
- Perl Data Language – Scientific computing with Perl
- Ploticus – software for generating a variety of graphs from raw data
- PSPP – A free software alternative to IBM SPSS Statistics
- R – free implementation of the S (programming language)
- Programming with Big Data in R (pbdR) – a series of R packages enhanced by SPMD parallelism for big data analysis
- R Commander – GUI interface for R
- Rattle GUI – GUI interface for R
- Revolution Analytics – production-grade software for the enterprise big data analytics
- RStudio – GUI interface and development environment for R

**Programming with Big Data in R**(pbdR) is a series of R packages and an environment for statistical computing with big data by using high-performance statistical computation. The pbdR uses the same programming language as R with S3/S4 classes and methods which is used among statisticians and data miners for developing statistical software. The significant difference between pbdR and R code is that pbdR mainly focuses on distributed memory systems, where data are distributed across several processors and analyzed in a batch mode, while communications between processors are based on MPI that is easily used in large high-performance computing (HPC) systems. R system mainly focuses on single multi-core machines for data analysis via an interactive mode such as GUI interface.In computing,

**SPMD**is a technique employed to achieve parallelism; it is a subcategory of MIMD. Tasks are split up and run simultaneously on multiple processors with different input in order to obtain results faster. SPMD is the most common style of parallel programming. It is also a prerequisite for research concepts such as active messages and distributed shared memory.**"Big data"**is a field that treats ways to analyze, systematically extract information from, or otherwise deal with data sets that are too large or complex to be dealt with by traditional data-processing application software. Data with many cases (rows) offer greater statistical power, while data with higher complexity may lead to a higher false discovery rate. Big data challenges include capturing data, data storage, data analysis, search, sharing, transfer, visualization, querying, updating, information privacy and data source. Big data was originally associated with three key concepts:*volume*,*variety*, and*velocity*. When we handle big data, we may not sample but simply observe and track what happens. Therefore, big data often includes data with sizes that exceed the capacity of traditional usual software to process within an acceptable time and*value.* - ROOT – an open-source C++ system for data storage, processing and analysis, developed by CERN and used to find the Higgs boson
- Salstat – menu-driven statistics software
- Scilab – uses GPL-compatible CeCILL license
- SciPy – Python library for scientific computing that contains the
*stats*sub-package which is partly based on the venerable*|STAT*(a.k.a.*PipeStat*, formerly*UNIX|STAT*) software- scikit-learn – extends SciPy with a host of machine learning models (classification, clustering, regression, etc.)
- statsmodels – extends SciPy with statistical models and tests (regression, plotting, example datasets, generalized linear model (GLM), time series analysis, autoregressive–moving-average model (ARMA), vector autoregression (VAR), non-parametric statistics, ANOVA, empirical likelihood)

**Scikit-learn**is a free software machine learning library for the Python programming language. It features various classification, regression and clustering algorithms including support vector machines, random forests, gradient boosting,*k*-means and DBSCAN, and is designed to interoperate with the Python numerical and scientific libraries NumPy and SciPy.**Statsmodels**is a Python package that allows users to explore data, estimate statistical models, and perform statistical tests. An extensive list of descriptive statistics, statistical tests, plotting functions, and result statistics are available for different types of data and each estimator. It complements SciPy's stats module.In statistics, the

**generalized linear model**(**GLM**) is a flexible generalization of ordinary linear regression that allows for response variables that have error distribution models other than a normal distribution. The GLM generalizes linear regression by allowing the linear model to be related to the response variable via a*link function*and by allowing the magnitude of the variance of each measurement to be a function of its predicted value. - Shogun (toolbox) – open-source, large-scale machine learning toolbox that provides several SVM (Support Vector Machine) implementations (like libSVM, SVMlight) under a common framework and interfaces to Octave, MATLAB, Python, R
- Simfit – simulation, curve fitting, statistics, and plotting
- SOCR
- SOFA Statistics – desktop GUI program focused on ease of use, learn as you go, and beautiful output
- Stan (software) – open-source package for obtaining Bayesian inference using the No-U-Turn sampler, a variant of Hamiltonian Monte Carlo. It is somewhat like BUGS, but with a different language for expressing models and a different sampler for sampling from their posteriors
- Statistical Lab – R-based and focusing on educational purposes
- Torch (machine learning) – a deep learning software library written in Lua (programming language)
- Weka (machine learning) – a suite of machine learning software written at the University of Waikato

**ADaMSoft** is a free and open-source statistical software developed in Java and can run on any platform supporting Java.

**Data mining** is the process of discovering patterns in large data sets involving methods at the intersection of machine learning, statistics, and database systems. Data mining is an interdisciplinary subfield of computer science and statistics with an overall goal to extract information from a data set and transform the information into a comprehensible structure for further use. Data mining is the analysis step of the "knowledge discovery in databases" process, or KDD. Aside from the raw analysis step, it also involves database and data management aspects, data pre-processing, model and inference considerations, interestingness metrics, complexity considerations, post-processing of discovered structures, visualization, and online updating. The difference between data analysis and data mining is that data analysis is used to test models and hypotheses on the dataset, e.g., analyzing the effectiveness of a marketing campaign, regardless of the amount of data; in contrast, data mining uses machine-learning and statistical models to uncover clandestine or hidden patterns in a large volume of data.

**ADMB** or **AD Model Builder** is a free and open source software suite for non-linear statistical modeling. It was created by David Fournier and now being developed by the ADMB Project, a creation of the non-profit ADMB Foundation. The "AD" in AD Model Builder refers to the automatic differentiation capabilities that come from the **AUTODIF Library**, a C++ language extension also created by David Fournier, which implements reverse mode automatic differentiation. A related software package, **ADMB-RE**, provides additional support for modeling random effects.

- BV4.1
- GeoDA
- MaxStat Lite – general statistical software
- MINUIT
- WinBUGS – Bayesian analysis using Markov chain Monte Carlo methods
- Winpepi – package of statistical programs for epidemiologists

**MaxStat** is a statistical analysis software platform specifically designed for students and researchers with little background in statistics. It was developed in Germany by MaxStat Software.

**MINUIT**, now **MINUIT2**, is a numerical minimization computer program originally written in the FORTRAN programming language by CERN staff physicist Fred James in the 1970s. The program searches for minima in a user-defined function with respect to one or more parameters using several different methods as specified by the user. The original FORTRAN code was later ported to C++ by the ROOT project; both the FORTRAN and C++ versions are in use today. The program is very widely used in particle physics, and hundreds of published papers cite use of MINUIT. In the early 2000s Fred James started a project to implement MINUIT in C++ using object-oriented programming. The new MINUIT is an optional package (minuit2) in the ROOT release. As of October 2014 the latest version is 5.34.14, released on 24 January 2014. There is also a Java port as well as several Python ports.

**WinBUGS** is statistical software for Bayesian analysis using Markov chain Monte Carlo (MCMC) methods.

- Alteryx - analytics platform with drag and drop statistical models; R and Python integration
- Analytica – visual analytics and statistics package
- Angoss – products KnowledgeSEEKER and KnowledgeSTUDIO incorporate several data mining algorithms
- ASReml – for restricted maximum likelihood analyses
- BMDP – general statistics package
- DB Lytix – 800+ in-database models
- EViews – for econometric analysis
- FAME (database) – a system for managing time-series databases
- GAUSS – programming language for statistics
- Genedata – software solution for integration and interpretation of experimental data in the life science R&D
- GenStat – general statistics package
- GLIM – early package for fitting generalized linear models
- GraphPad InStat – very simple with lots of guidance and explanations
- GraphPad Prism – biostatistics and nonlinear regression with clear explanations
- IMSL Numerical Libraries – software library with statistical algorithms
- JMP – visual analysis and statistics package
- Lertap 5- an Excel application used to analyze responses to tests and surveys (free for students)
- LIMDEP – comprehensive statistics and econometrics package
- LISREL – statistics package used in structural equation modeling
- Maple – programming language with statistical features
- Mathematica – a software package with statistical particularlyŋ features
- MATLAB – programming language with statistical features
- MaxStat Pro – general statistical software
- MedCalc – for biomedical sciences
- Microfit – econometrics package, time series
- Minitab – general statistics package
- MLwiN – multilevel models (free to UK academics)
- NAG Numerical Library – comprehensive math and statistics library
- Neural Designer – commercial deep learning package
- NCSS – general statistics package
- NLOGIT – comprehensive statistics and econometrics package
- NMath Stats – statistical package for .NET Framework
- nQuery Sample Size Software – Sample Size and Power Analysis Software
^{ [1] } - O-Matrix – programming language
- OriginPro – statistics and graphing, programming access to NAG library
- PASS Sample Size Software (PASS) – power and sample size software from NCSS
- Plotly – plotting library and styling interface for analyzing data and creating browser-based graphs. Available for R, Python, MATLAB, Julia, and Perl
- Primer-E Primer – environmental and ecological specific
- PV-WAVE – programming language comprehensive data analysis and visualization with IMSL statistical package
- Qlucore Omics Explorer – interactive and visual data analysis software
- Quantum Programming Language – part of the SPSS MR product line, mostly for data validation and tabulation in Marketing and Opinion Research
- RapidMiner – machine learning toolbox
- Regression Analysis of Time Series (RATS) – comprehensive econometric analysis package
- SAS (software) – comprehensive statistical package
- SHAZAM (Econometrics and Statistics Software) – comprehensive econometrics and statistics package
- Simul – econometric tool for multidimensional (multi-sectoral, multi-regional) modeling
- SigmaStat – package for group analysis
- SmartPLS – statistics package used in partial least squares path modeling (PLS) and PLS-based structural equation modeling
- SOCR – online tools for teaching statistics and probability theory
- Speakeasy (computational environment) – numerical computational environment and programming language with many statistical and econometric analysis features
- SPSS Modeler – comprehensive data mining and text analytics workbench
- SPSS Statistics – comprehensive statistics package
- Stata – comprehensive statistics package
- StatCrunch – comprehensive statistics package
- Statgraphics – general statistics package to include cloud computing and Six Sigma for use in business development, process improvement, data visualization and statistical analysis, design of experiment, point processes, geospatial analysis, regression, and time series analysis are all included within this complete statistical package.
- Statistica – comprehensive statistics package
- StatsDirect – statistics package designed for biomedical, public health and general health science uses
- StatXact – package for exact nonparametric and parametric statistics
- Systat – general statistics package
- SuperCROSS – comprehensive statistics package with ad-hoc, cross tabulation analysis
- S-PLUS – general statistics package
- Unistat – general statistics package that can also work as Excel add-in
- The Unscrambler – free-to-try commercial multivariate analysis software for Windows
- WarpPLS – statistics package used in structural equation modeling
- Wolfram Language
^{ [2] }– the computer language that evolved from the program Mathematica. It has similar statistical capabilities as Mathematica. - World Programming System (WPS) – statistical package that supports the use of Python, R and SAS languages within in a single user program.
- XploRe

**Alteryx** is an American computer software company based in Irvine, California, with a development center in Broomfield, Colorado. The company's products are used for data science and analytics. The software is designed to make advanced analytics accessible to any data worker.

**Analytica** is a visual software package developed by Lumina Decision Systems for creating, analyzing and communicating quantitative decision models. As a modeling environment, it is interesting in the way it combines hierarchical influence diagrams for visual creation and view of models, intelligent arrays for working with multidimensional data, Monte Carlo simulation for analyzing risk and uncertainty, and optimization, including linear and nonlinear programming. Its design, especially its influence diagrams and treatment of uncertainty, is based on ideas from the field of decision analysis. As a computer language, it is notable in combining a declarative (non-procedural) structure for referential transparency, array abstraction, and automatic dependency maintenance for efficient sequencing of computation.

**Angoss Software Corporation**, headquartered in Toronto, Ontario, Canada, with offices in the United States and UK, is a provider of predictive analytics systems through software licensing and services. Angoss' customers represent industries including finance, insurance, mutual funds, retail, health sciences, telecom and technology. The company was founded in 1984, and publicly traded on the TSX Venture Exchange from 2008-2013 under the ticker symbol ANC. In June 2013 the private equity firm Peterson Partners acquired Angoss for $8.4 million.

- Analyse-it – add-on to Microsoft Excel for statistical analysis
- NumXL – add-on to Microsoft Excel for statistical and time series analysis
- SigmaXL – add-on to Microsoft Excel for statistical and graphical analysis
- SPC XL – add-on to Microsoft Excel for general statistics
- Statgraphics Sigma Express – add-on to Microsoft Excel for Six Sigma statistical analysis
- SUDAAN – add-on to SAS and SPSS for statistical surveys
- XLfit add-on to Microsoft Excel for curve fitting and statistical analysis

**SPSS Statistics** is a software package used for interactive, or batched, statistical analysis. Long produced by SPSS Inc., it was acquired by IBM in 2009. The current versions (2015) are named **IBM SPSS Statistics**.

**R** is a programming language and free software environment for statistical computing and graphics supported by the R Foundation for Statistical Computing. The R language is widely used among statisticians and data miners for developing statistical software and data analysis. Polls, data mining surveys, and studies of scholarly literature databases show substantial increases in popularity; as of July 2019, R ranks 20th in the TIOBE index, a measure of popularity of programming languages.

**gretl** is an open-source statistical package, mainly for econometrics. The name is an acronym for *G*nu*R*egression, *E*conometrics and *T*ime-series*L*ibrary.

**S-PLUS** is a commercial implementation of the S programming language sold by TIBCO Software Inc.

**EViews** is a statistical package for Windows, used mainly for time-series oriented econometric analysis. It is developed by Quantitative Micro Software (QMS), now a part of IHS. Version 1.0 was released in March 1994, and replaced MicroTSP. The TSP software and programming language had been originally developed by Robert Hall in 1965. The current version of EViews is 11, released in April 2019.

**RATS**, an abbreviation of **Regression Analysis of Time Series**, is a statistical package for time series analysis and econometrics. RATS is developed and sold by Estima, Inc., located in Evanston, IL.

**Origin** is a proprietary computer program for interactive scientific graphing and data analysis. It is produced by OriginLab Corporation, and runs on Microsoft Windows. It has inspired several platform-independent open-source clones like SciDAVis.

The following tables compare general and technical information for a number of statistical analysis packages.

The following tables provide a **comparison of numerical-analysis software**.

**Kernel regression** is a non-parametric technique in statistics to estimate the conditional expectation of a random variable. The objective is to find a non-linear relation between a pair of random variables * X* and

**PSPP** is a free software application for analysis of sampled data, intended as a free alternative for IBM SPSS Statistics. It has a graphical user interface and conventional command-line interface. It is written in C and uses GNU Scientific Library for its mathematical routines. The name has "no official acronymic expansion".

**Chronux** is an open-source software package developed for the loading, visualization and analysis of a variety of modalities / formats of neurobiological time series data. Usage of this tool enables neuroscientists to perform a variety of analysis on multichannel electrophysiological data such as LFP, EEG, MEG, Neuronal spike times and also on spatiotemporal data such as FMRI and dynamic optical imaging data. The software consists of a set of MATLAB routines interfaced with C libraries that can be used to perform the tasks that constitute a typical study of neurobiological data. These include local regression and smoothing, spike sorting and spectral analysis - including multitaper spectral analysis, a powerful nonparametric method to estimate power spectrum. The package also includes some GUIs for time series visualization and analysis. Chronux is GNU GPL v2 licensed.

**JASP** is a free and open-source graphical program for statistical analysis supported by the University of Amsterdam. It is designed to be easy to use, and familiar to users of SPSS. It offers standard analysis procedures in both their classical and Bayesian form. JASP generally produces APA style results tables and plots to ease publication. It promotes open science by integration with the Open Science Framework and reproducibility by integrating the analysis settings into the results. The development of JASP is financially supported by several universities and research funds.

- ↑ Hickey, Graeme L.; Grant, Stuart W.; Dunning, Joel; Siepe, Matthias (2018). "Statistical primer: Sample size and power calculations—why, when and how?†".
*European Journal of Cardio-Thoracic Surgery*.**54**: 4–9. doi:10.1093/ejcts/ezy169. PMC 6005113 . - ↑ Wolfram Language Guide: Statistical Data Analysis

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Images, videos and audio are available under their respective licenses.