401-0102-00L  Applied Multivariate Statistics

SemesterSpring Semester 2020
LecturersF. Sigrist
Periodicityyearly recurring course
Language of instructionEnglish


401-0102-00 VApplied Multivariate Statistics2 hrs
Mon15:00-17:00ER SA TZ »
15:15-17:00HG F 3 »
F. Sigrist
401-0102-00 UApplied Multivariate Statistics1 hrs
Mon/2w08:00-10:00ER SA TZ »
08:15-10:00HG D 1.1 »
F. Sigrist

Catalogue data

AbstractMultivariate statistics analyzes data on several random variables simultaneously. This course introduces the basic concepts and provides an overview of classical and modern methods of multivariate statistics including visualization, dimension reduction, supervised and unsupervised learning for multivariate data. An emphasis is on applications and solving problems with the statistical software R.
ObjectiveAfter the course, you are able to:
- describe the various methods and the concepts behind them
- identify adequate methods for a given statistical problem
- use the statistical software R to efficiently apply these methods
- interpret the output of these methods
ContentVisualization, multivariate outliers, the multivariate normal distribution, dimension reduction, principal component analysis, multidimensional scaling, factor analysis, cluster analysis, classification, multivariate tests and multiple testing
Lecture notesNone
Literature1) "An Introduction to Applied Multivariate Analysis with R" (2011) by Everitt and Hothorn
2) "An Introduction to Statistical Learning: With Applications in R" (2013) by Gareth, Witten, Hastie and Tibshirani

Electronic versions (pdf) of both books can be downloaded for free from the ETH library.
Prerequisites / NoticeThis course is targeted at students with a non-math background.

1) Introductory course in statistics (min: t-test, regression; ideal: conditional probability, multiple regression)
2) Good understanding of R (if you don't know R, it is recommended that you study chapters 1,2,3,4, and 5 of "Introductory Statistics with R" from Peter Dalgaard, which is freely available online from the ETH library)

An alternative course with more emphasis on theory is 401-6102-00L "Multivariate Statistics" (only every second year).

401-0102-00L and 401-6102-00L are mutually exclusive. You can register for only one of these two courses.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits5 credits
ExaminersF. Sigrist
Typesession examination
Language of examinationEnglish
RepetitionThe performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examinationwritten 120 minutes
Written aidsClosed book; simple pocket calculator with no communication capability
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.


No information on groups available.


There are no additional restrictions for the registration.

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