Free tools for statistical analysis

Free statistical tools and programs that are actively supported by their developers or open-source projects.

This list is maintained by Leigh Ward and Nikos Kourkoumelis

General software (encompassing all aspects)

Software with full GUI (graphical user interface)

JASP

(https://jasp-stats.org/)
Open source
Standard analysis (Classical and Bayesian)
Integrated with The Open Science Framework (OSF)
Forum support
Resources for teachers (datasets, teaching materials, manuals, free textbook)
Citation: JASP Team (2022). JASP (Version X.XX)[Computer software].

Jamovi

(https://www.jamovi.org/)
Open source
Support for R syntax
Community teaching resources (user guide, quick start guide in various languages)
Community resources (modules library)
Users can contribute by creating content or developing modules (developer hub)
Citation: The jamovi project (202X). jamovi (Version X.X) [Computer Software]. Retrieved from https://www.jamovi.org

PAST

(https://www.nhm.uio.no/english/research/infrastructure/past/)
Manual (pdf)
Forum
Citation: Hammer, Ø., Harper, D.A.T., Ryan, P.D. 2001. PAST: Paleontological statistics software package for education and data analysis. Palaeontologia Electronica 4(1): 9pp

InVivoStat

(https://invivostat.co.uk/)
Designed for scientists conducting animal experiments (but can be used in wider context)
Companion textbook ( www.cambridge.org/9781107030787 )
User guide (pdf)
Citation: Clark RA, Shoaib M, Hewitt KN, Stanford SC, Bate ST (2012) A comparison of InVivoStat with other statistical software packages for analysis of data generated from animal experiments. J Psychopharmacology 26(8) 1136-1142, DOI: 10.1177/0269881111420313

GNU PSPP

(https://www.gnu.org/software/pspp/)
Open source
GUI in multiple languages and terminal support
Indexed user manual (web)
Big data support (over 1 bn variables)

AM Statistical Software

(https://am.air.org/)
Data analysis from complex samples and large-scale assessments.
Can import impressive array of file formats

Software for specific statistical tasks (minimal GUI)

(https://www.aacb.asn.au/resources/useful-tools)

Regression Accuracy and Power Simulations

(https://www.aacb.asn.au/resources/useful-tools/regression-accuracy-and-power-simulations-version-40)
Accuracy and statistical power of parametric linear regression (win32 application)

Variance Function Program

(https://www.aacb.asn.au/resources/useful-tools/variance-function-program-v18)
Relationship between variance and the mean (win32 application)

G*Power

(https://www.psychologie.hhu.de/arbeitsgruppen/allgemeine-psychologie-und-arbeitspsychologie/gpower)
Statistical power analyses for many different t tests, F tests, χ2 tests, z tests and some exact tests; effect sizes

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MS Excel add-ins

Daniel’s XL Toolbox

(https://www.xltoolbox.net/)

Open source
Basic statistical analysis
Visualization

Real Statistics for Excel

(https://www.real-statistics.com/)

Basic to advanced statistical analysis
Resources (Examples Workbooks)
User guide (web)
Detailed analysis of statistical concepts (web)
Personalized user support

Kamakura's Analytic Tools for Excel

(https://www.katexcel.com/)

Contains a broad range of analytic tools for text/data processing, visualization, unsupervised training and supervised training

SolverStat

(https://solverstat.wordpress.com/blog/)

Αdvanced statistical tests on least squares regression data (linear and non-linear)

Simtools

(https://home.uchicago.edu/~rmyerson/addins.htm)

Monte Carlo simulation and risk analysis

RegressIt

(https://regressit.com/)

Multivariate descriptive data analysis and regression analysis

Econometrics

(Link)

Although the examples are from econometrics they are applicable to other data types. Check book chapters (see menu) for other Excel templates and add-ins

EZAnalyze

(http://www.ezanalyze.com/features.htm)

General statistics add in for Excel


MS Excel templates

Bean-plot template

(http://img.chandoo.org/playground/bean-plot v1.xlsx)

Spreadsheet template

Confidence limits and inferences

(http://www.sportsci.org/resource/stats/xcl.xls)

Spreadsheet template

Data distributions: Laplace, Student, Weibull etc

(http://www.quantitativeskills.com/sisa/rojo/alldist.zip)

zip file

Tornado plot (macro)

(https://github.com/behappyrightnow/simple-tornado)

Primarily used in business but adaptable to scientific data

Normal distribution

(NormalDistribution.xls)

Graphing the normal distribution



MS Excel Tutorials

Statology

(https://www.statology.org/excel-guides/)

Various snippets

Python programming

Python modules

statsmodels

(https://www.statsmodels.org/stable/index.html)
Open source
User guide
Examples
API reference
Developers support
Datasets

Pingouin

(https://pingouin-stats.org/)
Open source
User guide
Examples
API reference Developers support
Citation: Vallat, R. (2018). Pingouin: statistics in Python. Journal of Open Source Software, 3(31), 1026, https://doi.org/10.21105/joss.01026

Scientific plotting

Veusz

(https://veusz.github.io/)
Scientific plotting and graphing program with a graphical user interface, designed to produce publication-ready 2D and 3D plots

LapPlot

(https://github.com/KDE/labplot)
Free, open source and cross-platform Data Visualization and Analysis software

yoshinoGRAPH

(http://yoshinograph.jpn.org/whatis.shtml)
Scientific graph software for data analysis and presentation

Textbooks

Introduction to Probability for Data Science

Stanley H. Chan
(Link)

Introduction to Statistics

David Lane
(Link)

Forecasting: Principles and Practice

Rob J Hyndman and George Athanasopoulos
(Link)

The Elements of Statistical Learning

Trevor Hastie, Robert Tibshirani,Jerome Friedman
(Link)

Statistical Learning with Sparsity

Trevor Hastie, Robert Tibshirani, Martin Wainwright
(Link)

Introductory Statistics for the Life and Biomedical Sciences

Julie Vu, Dave Harrington, and OpenIntro
(Link)

An Introduction to Statistical Learning with Applications in R

Gareth James, Daniela Witten, Trevor Hastie, Robert Tibshirani
(Link)

The Little Handbook of Statistical Practice (Web)

Gerard E. Dallal
(Link)

Introduction to Statistics

David M. Lane, and David Scott, Mikki Hebl, Rudy Guerra, Dan Osherson, Heidi Zimmer
(Link)

The Statistics Tutor’s Quick Guide to Commonly Used Statistical Tests

Ellen Marshall
(Link)

StatisticalHelp (Web)

Iain E. Buchan
(Link)

Data Science Textbook (Web)

TIBCO Software Inc.
(Link)

Statistical methods for psychology

David C. Howell
(Link)

Advanced Data Analysis from an Elementary Point of View

Cosma Rohilla Shalizi
(Link)

Bayesian Data Analysis

Andrew Gelman, John Carlin, Hal Stern, David Dunson, Aki Vehtari, and Donald Rubin
(Link)

Introduction to Statistics and Data analysis

Roxy Peck, Chris Olsen, Jay Devore
(Link)

An Introduction to the Science of Statistics: From Theory to Implementation

Joseph C. Watkins
(Link)

Introductory statistics

BARBARA ILLOWSKY, SUSAN DEAN, DE ANZA COLLEGE
(Link)

Statology tutorias (Web)

Zach Bobbitt
(Link)

Contact

Nikos Kourkoumelis
nkourkou [at] uoi [dot] gr