Uusi opinto-opas (sisältäen myös opetusohjelmat) lukuvuodelle 2018-2019 sijaitsee osoitteessa https://opas.peppi.utu.fi . Tältä sivustolta löytyvät enää vanhat opinto-oppaat ja opetusohjelmat.

The new study guide (incl. teaching schedules) for academic year 2018-2019 can be found at https://studyguide.utu.fi. This site contains only previous years' guides.

x !
Arkistoitu opetussuunnitelma 2016–2018
Selaamasi opetussuunnitelma ei ole enää voimassa. Tarkista tiedot voimassa olevasta opetussuunnitelmasta.
TILM3540 Introduction to Multivariate Methods 5 op
Organised by
Statistics
Person in charge
Professor

Learning outcomes

- Student knows traditional statistical methods for analysis of multivariate data
- Understands the use and the background of the mathematical tools in multivariate analysis

Contents

1) Description of multivariate data: data matrix, mean vector, covariance matrix, other descriptive statistics, Mahalanobis distance, scatter plots
2) Multivariate normal distribution and its properties
3) Multivariate location tests: Hotelling's T2, MANOVA and multivariate linear regression
4) The use of covariance matrix: Principal component analysis (PA), canonical correlation (CA)
5) Factor analysis (FA) and independent component analysis (ICA)
6) Discriminant analysis and cluster analysis

Teaching methods

Teaching method Contact Online
Lectures 12 h 0 h
Exercises 6 h 0 h

Teaching language

English

Modes of study

Option 1
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Participation in classroom work
  • In English
Written exam
  • In English
Option 2
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Participation in classroom work
  • In English
Written exam
  • In Finnish
Option 3
Available for:
  • Degree Programme Students
  • Other Students
  • Doctoral Students
  • Exchange Students
Participation in classroom work
  • In English
Essay
  • In English

In addition active participation in practicals.

Evaluation and evaluation criteria

Numeric 0-5.
Essay: passed/failed

Recommended year of study

2. year autumn
2. year spring
3. year autumn
3. year spring

Further information

The course isn't lectured every year. It was last time in spring 2016.

Belongs to following study modules

Matematiikan ja tilastotieteen laitos
Matematiikan ja tilastotieteen laitos
2016–2017
Teaching
Archived Teaching Schedule. Please refer to current Teaching Shedule.
Implementation details are unavailable.
Matematiikan ja tilastotieteen laitos
MDP in Information Security and Cryptography
Opintokokonaisuudet