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Expert: - 9/17/2011


Question
Dear Prof Scott

http://en.wikipedia.org/wiki/Statistics

Which are the well known Statistical Computer Programs/Applications used by Statisticians for Data collection, interpretation, Analysis etc ?.

Mathematica software will help us in Mathematical Modeling and Visualisation.

Can we use Mathematica as a Statistical Tool ?

Thanks & Regards,
Prashant S Akerkar

Answer
A list of the major languages that are used is found in
http://en.wikipedia.org/wiki/Statistical_package.

The ones that sound good to me would be
DAP (if you have used SAS before), Fityk, Octave (similar to MatLab), Ploticus,
Simfit, or SOFA Statistics.

The entire list is below:
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 – A free replacement for SAS
ELKI a software framework for development of data mining algorithms in Java.
Fityk – nonlinear regression software (GUI and command line)
gretl – gnu regression, econometrics and time-series Library
JAGS – Just another Gibbs sampler (JAGS) is a program for analysis of Bayesian hierarchical models using Markov Chain Monte Carlo (MCMC) developed by Martyn Plummer.
  It is similar to WinBUGS.
JHepWork – Java-based statistical analysis framework for scientists and engineers.
  It includes an advanced IDE and Jython shell.
JMulTi
Octave – programming language (very similar to Matlab) with statistical features
Mondrian (software) - data analysis tool using interactive statistical graphics with a link to R.
OpenBUGS
OpenEpi – A web-based, open source, operating-independent series of programs for use in epidemiology and statistics based on JavaScript and HTML
OpenMx – A package for Structural equation modeling running in R.
Orange, a machine learning and bioinformatics software
Ploticus – software for generating a variety of graphs from raw data
PSPP – A free software replacement for SPSS
R – A free implementation of the S language.
R Commander – GUI interface for R
RapidMiner, a machine learning toolbox
Rattle GUI – GUI interface for R
Scilab – uses GPL compatible CeCILL license
SciPy (a Python library for scientific computing) contains the stats sub-package which is partly
  based on the venerable |STAT (a.k.a PipeStat, formerly UNIX|STAT) software
Shogun, an 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 – a desktop GUI program focused on ease of use, learn as you go,
  and beautiful output.
Statistical Lab – R-based and focusing on educational purposes
Weka is also a suite of machine learning software written at the University of Waikato.
Xlisp-stat
Yxilon

I have never used any of them, so I've not much else to say about them.
The best thing to do is read about them and find what you're looking for.

There are more lists in the document referenced for special cases.

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