M215: Applied Statistical Analysis

Course Objective

This course is designed to give experience with the statistical tools that are available in Mathematica. Using real-world and simulated datasets, participants will import and analyze data, work with statistical distributions, and visualize results.

Target Audience

The course is designed for people who work with data and wish to improve their skills at using Mathematica for performing statistical analyses of data. Typical attendees include engineers, physicists, analysts in finance, and those in the physical sciences and the life and medical sciences.

Delivery Type

Courses are delivered as instructor-led classes in computer classroom facilities. Course topics are presented with alternating sessions of lectures and exercises. Additional online training information is available. All classes feature low student-teacher ratios.


This course is organized into six segments.
  • Descriptive Statistics
    Descriptive statistics and visualization of univariate and multivariate data; working with continuous and categorical data; clustering and smoothing of data
  • Statistical Distributions
    Working with theoretical and empirical statistical distributions; descriptive statistics and functions of random variables; visualizations of distributions; random number generation; transformations; empirical distributions and bootstrapping
  • Hypothesis Testing
    Common parametric tests such as t and Chi2 tests; nonparametric tests of location and scale; distributional goodness of fit tests; confidence intervals and power curves
  • Model Fitting
    Linear, nonlinear, and generalized linear model fitting; logistic models with nominal predictors; Poisson count models; ANOVA models
  • Model Refinements and Diagnostics
    Obtaining and visualizing diagnostics for models; comparing models; model transformations; weighted regression
  • Special Topics
    Maximum likelihood estimation; implicitly defined models; robust regression using iterative re-weighting; alternate metrics or merit functions for fitting data to curves

Course Materials

Each attendee will be provided with Mathematica course notebooks and access to the current version of Mathematica. The course notebooks require Mathematica or Mathematica Player. Course materials are distributed in print and on CD-ROM, and are yours to keep; a computer running Mathematica is available for your use during class. A temporary Mathematica training license is provided upon request.


Course attendees are expected to have basic familiarity with Mathematica. Attendees should also have basic knowledge of descriptive statistics, mathematical statistics, hypothesis testing, ANOVA, and regression.



EURO 495


Dr. Rolf Mertig

Dr. Rolf Mertig is a long term (web)Mathematica programmer, trainer, consultant and a Wolfram Certified Traning Instructor.