Mathematical Software Tutorials
Matlab
An overview of commands available in Matlab can be accessed through
an online tutorial.
In addition, the following is a collection of Matlab m files that
should be useful in providing some practice in working with Matlab.
Matlab short course: The two files course.m
and the squarex.m are ASCII
files, contained within course.m are instructions for its use.You
will need to download both, since course.m calls squarex.m. They
must be downloaded into a directory in Matlab's search path, then
accessed by typing 'course' at the Matlab command prompt or calling
squarex.
No prior knowledge of Matlab or any mathematical software is assumed.
This course will cover the basic aspects of Matlab such as statement
syntax, mathematical operations and graphics, as well as some system
interactions such as saving and printing your files. This course
assumes a basic familiarity with matrices.
Online tutorials are also available from The Mathworks, Inc.,
the developer of Matlab:
* Getting Started (HTML
or PDF)
* Learning Matlab 7 (PDF)
Maple
Maple is a mathematical software package for symbolic computation.
Conventional mathematical software packages usually require numerical
values for all variables. In contrast, Maple can evaluate both symbolic
and numerical expressions.
This UT
Maple tutorial is designed for beginning Maple users. No prior
knowledge of Maple or any symbolic mathematical software is assumed.
It will cover the basic aspects of Maple such as statement syntax,
mathematical operations and graphics. While this tutorial will deal
with some calculus related material, it is designed so that anyone
with a basic algebra background will benefit from it.
For more information about Maple, there are advanced
Maple tutorials provided by Maplesoft .
We also provide a basic Maple
Programming tutorial from ETHZürich in PDF format.
Mathematica
An extensive documentation of Mathematica commands can be accessed
through the help browser provided along with Mathematica.
tut.nb
is a Mathematica notebook that has been found to be useful as a
mathematica tutorial. The tutorial in it will cover the basic aspects
of Mathematica such as statement syntax, mathematical operations
and graphics, as well as some system interactions such as saving
and printing your files.
While this tutorial will deal with some calculus related material,
it is designed so that anyone with a basic algebra background will
benefit from it. No prior knowledge of Mathematica or any symbolic
mathematical software is assumed.
The procedures for
launching Mathematica and
loading notebooks are detailed in the
Getting Started With Mathematica document.
If your browser is properly configured Mathematica will be automatically
started with the notebook you select. Configuration instructions
are currently available for the following browsers:


Statistical Software Tutorials
AMOS
The AMOS (Analysis of Moment Structures) software program features
a powerful, yet easy to use graphical interface. It is designed
primarily for structural equation modeling and similar analyses
(e.g., path analysis, confirmatory factor analysis), though it can
also be used to fit MANOVA, MANCOVA, ANOVA, ANCOVA, and regression
models.
HLM
HLM (Hierarchical Linear Models) are used for analyzing data in
a clustered or "nested" structure, in which lowerlevel units of
analysis are nested within higherlevel units of analysis. For example,
students are nested within classrooms, which are nested within schools.
While experimenters are often not interested in the effects of a
particular classroom or school when they are examining the effects
of a classroom intervention, these units potentially have an effect
on the outcome of the study that should be accounted for in a statistical
model. The program can be used to analyze a variety of questions
using either categorical or continuous dependent variables.
PRELIS
and LISREL
PRELIS and LISREL are designed primarily for structural equation
modeling and similar analyses (e.g., confirmatory factor analysis
and path analysis), though it can also be used to fit ANOVA, ANCOVA,
MANOVA, and MANCOVA models. Also, it be used to perform regression
analysis and some multilevel or hierarchical linear modeling (HLMs). Many of the statistical methods are also now available for the analysis of complex sampling designs.
Mplus
Mplus is primarily designed for conducting exploratory factor
analysis, confirmatory factor analysis, and structural equation
modeling. The program can also handle multiple group analysis and
multilevel SEM.
SAS
Over the years SAS has developed a reputation of being a powerful
and fullfeatured package for general statistical analysis. The
new release of SAS (version 8) has a number of new features that
promise to make SAS more userfriendly. In particular, the current
version of SAS has a substantially enhanced windowsdriven interface
which allows you to point and click your way through many tasks
that previously required knowledge of SAS programming syntax.
SPSS
Getting Started: introduces readers to the SPSS for Windows
environment, and discusses how to create or import a dataset, transform
variables, manipulate data, and perform descriptive statistics.
Descriptive and Inferential Statistics: describes the use of
SPSS to obtain descriptive and inferential statistics. In this module,
you will be introduced to procedures used to obtain several descriptive
statistics, frequency tables, and crosstabulations in the first
section. In the second section, the Chisquare test of independence,
independent and paired sample t tests, bivariate and partial correlations,
regression, and the general linear model will be covered.
Displaying Data: describes the use of SPSS to create and modify
tables which can be exported to other applications. Graphical displays
of data are also discussed, including bar graphs and scatterplots
as well as a discussions on how to modify graphs using the SPSS
Chart Editor and Interactive Graphs.
Data Manipulation and Advanced Topics: describes the use of
SPSS to do advanced data manipulation such as splitting files for
analyses, merging two files, aggregating datasets, and combining
multiple tables in a database into an SPSS dataset. Several advanced
topics are also included, such as the use of SPSS syntax, the SPSS
Visual Basic editor, and SPSS Macros.
