EXST 7037 - Multivariate Statistical Data Analysis

Course Description: EXST 7037 Multivariate Statistics (3) F Prereq.: EXST 7013, 7014, 7015 or equivalent and knowledge of matrix algebra. 3 hrs. lecture. Comparison of multivariate techniques and analyses; emphasis on discriminant analysis, factor analysis and principal component analysis, canonical correlation, cluster analysis, and multivariate analysis of variance and repeated measures.

Course Syllabus (HTML) (PDF)

Frequently check your LSU Blackboard account for class discussions and grading information (via PAWS).

SAS On-line Documentation -- Reference, Syntax, and Examples.

Introductory Material

Linear algebra

Handout (Postscript) (PDF) (SAS Example)
References ( HTML )

Working with Eigenvalues and Eigenvectors in SAS (SAS) (Postscript) (PDF)

Practice (SAS) Examples For Descriptive and Interactive Dynamic Graphics

Problem 1.14 - Multiple-Sclerosis
Problem 1.16 - Mineral Content in Bones
Problem 1.21 - Data Input for Milk Transportation Costs
Soils Data

Multivariate Normality

Brief Notes ( Postscript ) (PDF) and Graphical Illustrations ( Postscript ) (PDF)

Assessing Multivariate Normality

Board Stiffness Data (non-macro version) ( HTML ) ( SAS )

Board Stiffness Data (uses macros) ( HTML ) ( SAS ) (PDF)
SAS Macros Used Above: Examine a data set for multivariate normality ( SAS )
Compute and plot the convex hull peels for bivariate data ( SAS )
Compute and plot the elliptical hull peels for bivariate data ( SAS )

Simulate a multivariate normal data set (HTML) (SAS)
This can be useful for comparing with observed data sets or for simulation studies.

Dimension Reduction with Principal Components and Biplots

Simple Example (HTML) (SAS)
Protein Consumption (HTML) (SAS)
Car Preferences (HTML) (SAS)
Sales Data (HTML) (SAS)
Stock-Price Data (Problem 8.10) (PDF) (SAS)
Census-Tract Data (Problem 8.11) (PDF) (SAS)
Biplot and Equate Macros of Michael Friendly used in Sales example
Visit Michael Friendly's Site for the Latest Versions

Cluster Analysis

Breakfast Cereals ( HTML ) ( SAS ) ( PDF )
Uniform Crime Reports ( HTML ) ( SAS ) ( Postscript ) (PDF)
Mammals' Teeth Example For Demonstrating DISTANCE macro usage (HTML)

SAS Utility Macros:

DENDRO macro for producing dendrograms from hierarchical cluster analysis (SAS)
DISTANCE macro for computation of distance, dissimilarity, and similarity matrices (SAS) (replace the macro call with PROC DISTANCE) and documentation (PDF)
STDIZE macro for standardization of variables (SAS)
XMACRO macro -- utility macro used by STDIZE and DISTANCE (SAS)

Multidimensional Scaling

Basic Example: Distances among 4 towns (HTML) (SAS)
Airfares and Inter-city Distances (HTML) (SAS) (Postscript) (PDF)
Beverage Preference Data (HTML) (SAS) (Postscript) (PDF)
Mammals' Teeth Example For Demonstrating DISTANCE macro usage (HTML)

SAS Utility Macros: MST macro for constructing a SAS/GRAPH annotate data set of the minimum spanning tree (SAS)
PLOTIT macro for plotting MDS, correspondence analysis, and other PCA results (SAS)
Also see utility macros above in Cluster Analysis Section.

Multivariate Linear Models

Hotelling T-Square Procedure

Confidence Intervals and Regions: Bivariate Normal ( HTML ) ( SAS ) ( Postscript ) (PDF)
T-Square Self Study (HTML) and Solution (HTML)
One-sample Sweat Data ( HTML ) ( SAS ) ( SAS 6.12) ( SAS GLM Only )
Paired-samples Effluent Data ( HTML ) ( SAS )
Two Independent-samples Skulls Data ( HTML ) ( SAS )
Sweat, Effluent, and Skulls Examples ( Postscript ) (PDF)
Two Independent-samples Milk Transportation Data ( HTML ) ( SAS ) ( Postscript ) (PDF)
Two Independent-samples Hook-billed Kites Data with PROC MIXED ( HTML ) ( SAS ) ( SAS 6.12 ) ( Postscript ) (PDF)
Linear Discriminant Function Examples
Painted Turtles ( HTML ) ( SAS )
Hook-billed Kites ( HTML ) ( SAS ) ( Postscript ) (PDF)

Bone Minerals Homework Assignment
Bone Minerals SAS Program (SAS)
Bone Minerals SAS Output (HTML)

Multivariate Analysis of Variance (MANOVA)

General Linear Models Approach: Skull Sizes ( HTML ) ( SAS ) ( Postscript ) (PDF)
One-way MANOVA: Hemophilia Data Analysis ( HTML ) ( SAS ) ( Postscript ) (PDF)
Two-way Factorial MANOVA: Plastics Extrusion Data ( HTML ) ( SAS ) ( Postscript ) (PDF)
Two-way Factorial MANOVA in RBD: Soil Chemical Characteristics Data ( HTML ) ( SAS ) ( Postscript ) (PDF)

Compositional Data Analysis

Regression Analysis of Arctic Sediments ( HTML ) ( SAS ) ( Postscript ) (PDF)

Profile Analysis ( Postscript ) (PDF)

Analysis of Ant Data ( HTML ) ( SAS ) ( Postscript ) (PDF)
Psychological Test Battery (SAS) (PDF)

Repeated Measures Analysis ( HTML ) (PDF)

Covariance Structures Examples ( Postscript ) (PDF)
Protein Content in Milk (SAS) (PDF)
Analysis of Sitka Tree Growth:
Multivariate, Structured Covariance, Univariate, and Random Regression Approaches ( HTML ) ( SAS ) ( Postscript ) (PDF)
Covariance Structure Selection - Likelihood Methods ( PDF )
Sitka Tree Covariance Structure Model Comparisons Table ( HTML ) ( PDF )
Doubly Multivariate Analysis of Football Helmet Impact Data ( HTML ) ( SAS ) ( Postscript ) (PDF)