This document contain some brief information about MATLAB programs that I have created and collected over time, and includes links to them. All of the programs are free, but are copyright by myself.

Contents:

• Statistics Programs
  • Generalized Linear Models
  • Demonstrations in Distribution Theory
  • Demonstrations in Regression Diagnostics
• Calculus Programs
• Plotting Programs

• Generalized linear models
  • glmlab; glmlab is a free gui MATLAB toolbox for analysing generalized linear models.  glmlab can fit all types of generalized linear models, including (among others):
  • multiple regression;
  • log-linear models;
  • logistic regression; and
  • weighted regression.
  
  To achieve these tasks, glmlab incorporates a number of error distributions and links function.  For more information, see the features of glmlab. It uses a graphical user interface and is easy to learn, and even comes with an on-line manual!
  • A Demonstration for generalized linear models: This program for MATLAB version 6 is a demonstration that can be used as an aid to explaining some of the important aspects of generalized linear models. The distribution, link function and dispersion parameter can be independently adjusted and the effect seen immediately.
  
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• Distribution Theory
  • Central Limit Theorem:  A gui function that plots the sampling distribution from an exponential dsitribution to demonstrate its limiting to the normal distribution.
  • Normal Approximation to the Binomial:  A gui function showing how the normal distribution approximates the binomial dsitribution.
  • Bivariate Normal Distribution:  A gui function that allows the user to `play' with the parameters of the bivariate normal distribution to see the effects, and to understand the bivariate normal distribution better.
  
  For a discussion on the uses of these programs, see Peter K. Dunn (1999). ``Three Tools for Interactively Visualizing Some Distribution Theory Concepts'' in The American Statistician, 53, 137--139.
  
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• Regression Diagnostics
  • Overfitting:   A gui function that shows the effects of overfitting a simple (linear, quadratic or cubic) relationship between two variables with higher order polynomials.
  • Normal Probability Plots:   A gui function that shows normal probability plots for different types of distributions: normal, right skewed, left skewed, heavy tailed and light tailed. The normal probability plots and histograms are displayed for these plots for a specified sample size.

• Trapezoidal rule:  A gui function that shows the trapezoidal rule in action for any given function (within reason...).
• Simpson's rule:  A gui function that shows how Simpson's 1/3 rule calculates the areas under curves for any function.
• Newton's method:  A gui function that shows what Newton's method is doing for any function.
• Derivatives:  A gui function that shows the concept of a derivative numerically for any given function.
• Integrals as rectangular areas:  A gui function that shows the concept of limiting rectangles as an integral.
• Generate a Cycloid:  A gui function that actually shows a circle generating a cycloid.

• Easyplot:  A gui function made for non-MATLAB users to produce decent MATLAB plots.

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