Module MA4944-KP05

Multivariate Statistics (MulStaKP05)


Duration

1 Semester

Turnus of offer

every second year

Credit points

5

Course of studies, specific fields and terms:

  • Master CLS 2023, optional subject, mathematics
  • Bachelor CLS 2023, optional subject, mathematics
  • Bachelor CLS 2016, optional subject, mathematics
  • Master CLS 2016, optional subject, mathematics

Classes and lectures:

  • Multivariate Statistics (exercise, 1 SWS)
  • Multivariate Statistics (lecture, 2 SWS)

Workload:

  • 30 hours work on project
  • 20 hours exam preparation
  • 55 hours private studies
  • 45 hours in-classroom work

Contents of teaching:

  • Multivariate probability distributions
  • Multiple and multivariate regression
  • Discriminant analysis and logistic regression
  • Cluster analysis with various distance and similarity measures
  • Principal component and factor analysis
  • Correspondence analysis and multidimensional scaling
  • Structural equation models

Qualification-goals/Competencies:

  • Students command a broad repertoire of multivariate statistical methods.
  • They are able to explain the ideas behind several representative methods.
  • They apply these methods by hand and with R packages.
  • They analyse problems and choose suitable methods.
  • They are able to decide for a better option, e.g. standardization, variance structures, distance measures, factor numbers or rotations.
  • They develop multivariate models.

Grading through:

  • written exam

Responsible for this module:

Literature:

  • Fahrmeir, Ludwig; Hamerle, Alfred; Tutz, Gerhard : Multivariate statistische Verfahren ISBN-13 9783110138061
  • Johnson, R. J.; Wichern, D. W. : Applied Multivariate Statistical Analysis 5. Ed. Prentice Hall, 2002 - ISBN-13: 000-0131877151

Language:

  • offered only in German

Notes:

Admission requirements for taking the module:
- None (The competencies of the modules listed under 'Requires' are needed for this module, but are not a formal prerequisite)

Admission requirements for participation in module examination(s):
- Successful completion of homework assignments as specified at the beginning of the semester

Module exam(s):
- MA4944-L1: Multivariate Statistics, written exam, 90 min, 100 % of module grade

Last Updated:

22.02.2022