Online Learning Material
Tony Butterfield, University of Utah

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Statistics, Basics:

  • Basics of Statistics - An introduction to means, standard deviation, population vs. sample properties, and so on.
     
  • Random Variables, PDFs, and CDFs - Basic information on random variables and their associated functions.
     
  • Display of Data - An brief discussion of ways in which data is typically displayed, with interactive examples.
     
  • Useful Statistics Functions - a collection of basic statistics functions and plots thereof, which are important in the realm of data analysis.

Data Analysis:

 

Physical Measurements:

 

Experimental Design:

 

Online Tools:

  • Analysis of a single data set (one treatment) - Finds basic statistical properties, calculates confidence intervals at a given level, and tests normality.

  • Analysis of two data sets (two treatment) - Finds basic statistical properties, calculates confidence intervals at a given level, performs hypothesis tests, and tests normality.

  • Error Propagation - Given a function, the value of its variables and their error, this script approximates the propagated error in the calculated value (discussed in greater detail here).
     
  • Parabolic PDE Example - Example of numerical solutions to the 2D transient diffusion problem under various boundary conditions. Parabolic PDEs may describe a variety of phenomena, from heat and mass transfer to acoustic propagation and EM field strength.

Heat and Mass Transfer:

  • Parabolic PDE Example - Example of finite difference solutions to the 2D transient diffusion problem under various boundary conditions. Parabolic PDEs may describe a variety of phenomena, from heat and mass transfer to acoustic propagation and EM field strength.

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