401-3626-00L: Multivariate Statistics
Fall semester 2008

General information

Instructor: Marloes Maathuis, office: LEO D 9.2, email: maathuis[at]stat.math.ethz.ch
Lectures: Thursday 1-3pm, HG D 7.1

Recent announcements

16/12/08: I have posted some notes for the next lecture, and an Rscript on multidimensional scaling. I have also updated the exam info.
16/12/08: When you have questions while preparing for the exam, you can ask them during the "Ferienpraesenz" hours held by PhD students in Statistics on Thursday January 8 and Thursday January 15 from 2-3pm. The place will be posted later, see the bottom right corner of this website.
12/12/08: I have posted updated versions of the notes and the Rscript on clustering.
26/11/08: I have posted Exercise set 3. In the schedule, I have posted updated notes on Fisher's linear discriminant analysis, a proof of the formula for Fisher's linear discriminant analysis, new notes on clustering, an Rscript on clustering, and information to give you an idea what to expect at the exam (this will be updated in the next few weeks). I have also included links to two interactive demos about clustering, and to chapter 6 of the book by Everitt.
26/11/08: I have posted some notes and R-code about linear discriminant analysis.
20/11/08: I have updated the last part of the notes on the multivariate normal distribution. New R-code for one-sample and two-sample tests for means has been posted. I have also added a link to Chapter 7 of the book by Everitt.
13/11/08: I have added a link to the simulation applet we looked at today in class (see Schedule).
13/11/08: When working on Exercise set 2, exercise 3b, it is useful to add the option 'asp=1' to the plot command. This will set the aspect ratio of the axes to 1, so that you can see that the rotated axes are really orthogonal. I have changed this in the updated exercise set.

Exercise sets

Class schedule

This schedule will be updated throughout the semester.

Date Topic Comments, material
Sept 18 No class Course syllabus
If you don't have R already, please install it from CRAN
If you are unfamiliar with R, please work through the R-script Intro to R
Reference cards for R: by Tom Short, by Jonathan Baron
Sept 25 Study design and sampling Notes on study design
Notes on sampling
Acne drug article (BBC News)
Iraq war article (The Economist)
Oct 2 Introduction to multivariate statistics Notes on introduction to multivariate statistics
Rscript on graphical methods for multivariate data
Skeleton of a typical bird (in order to understand Bumpus' data)
Oct 9, 16 Principal component analysis Notes on PCA
Rscript on PCA
Chapter 3 of Everitt
Oct 23, 30, Nov 6 Factor analysis Notes on linear regression (for people who need to read up on this)
Notes on factor analysis
Rscript on factor analysis
Chapter 4 of Everitt
Nov 13, 20 Multivariate normal distribution;
One and two sample T-squared test
Notes on the multivariate normal distribution
Simulation applet from Rice Virtual Lab in Statistics
Rscript on testing for means
Chapter 7 of Everitt (Sections 7.1 and 7.2.1)
Nov 27, Dec 4 Linear discriminant analysis Notes on Fisher's linear discriminant analysis
Proof of the formula for Fisher's linear discriminant analysis
Rscript on linear discriminant analysis
Chapter 7 of Everitt (Sections 7.2.2 and 7.2.3)
Dec 4, 11 Clustering Notes on clustering
Interactive demo for hierarchical clustering
Interactive demo for k-means clustering
Rscript on clustering methods
Chapter 6 of Everitt
Dec 18 Overview of multivariate methods;
Exam info
Notes, overview of multivariate methods
Rscript on multidimensional scaling
Exam info