Mathematica users from a wide range of disciplines count on the statistical functions provided in Mathematica's standard add-on packages to do their work. The following are just some of the tools for statistical analysis that Mathematica offers to users.

• Analysis of variance

• Classical hypothesis testing

• Confidence interval estimation

• Data smoothing

• Descriptive statistics for univariate and multivariate data

• Linear and nonlinear regression

• Powerful optimization techniques

Dozens of statistical distributions--normal, multinormal, continuous, and discrete--as well as superb graphics are available in Mathematica's statistics package. Moreover, Mathematica's interactive nature and built-in numeric and symbolic mathematical capabilities allow you to custom design precisely the kind of calculations you want, giving you tools that go far beyond the capabilities of standard statistical analysis software. With Mathematica you will have unlimited power to create and refine exactly the test, model, or transformation you need.

Regression tools offered in the statistics add-on package allow you to select the model--linear, exponential, polynomial, trigonometric, or any functions you specify--to consider for the fit. You can smooth your data using moving average or moving median functions or more sophisticated techniques such as splines, linear filtering, and exponential smoothing. You have a flexible environment for building experiments and testing your hypotheses using Mathematica's built-in functions. In addition, you can use Mathematica's powerful optimization tools to perform global or local optimization or nonlinear fitting.

"Mathematica achieves unparalleled accuracy and reliability on the NIST StRD and on the ELV benchmark....By virtue of its variable precision arithmetic and symbolic power, Mathematica's performance on these reliability tests far exceeds any finite-precision statistical package." B. D. McCullough Computational Statistics 15, no. 2 (2000) 279-299