NMAK11005U Discrete Models (DisMod)

Volume 2013/2014
Education
MSc programme in Mathematics
MSc programme in Statistics
MSc programme in Mathematics-Economics
Content
Introduction to and analysis of a number of statistical models for discrete respons variables: contingency tables, loglinear models, smooth hypthesis in the multinomial distribution, Poisson-regression, logistic regression and proportional odds models, survey sampling. Fundamental concepts about graphical models.
Learning Outcome
Knowledge
At the end of the course the student will have knowledge about different types of discrete models, the mathematical relationships between them, and basic statistical properties of the models. The student will have the knowledge to
* explain the asymtotic test theory for models for contigency tables,
* explain the logistic regression model, in the fundamental version for binary responses, as well as in the modifications for respons variables with several possible outcomes
* explain the theory for stratified survey sampling and multistage survey sampling
* explain fundamental concepts within the theory of graphical models

Skills
The student will acquire the skills to apply discrete models to real data, decide on which model to use and which analysis to perform. The student will have the skills to utilize theoretical results in the practical analysis, including how complex models can be specified by use of several covariates.

Competencies
At the end of the course the students will have the competence to
* carry out the analysis of 2-sided, 3-sided and generally k-sided contigency tables, theoretically as well as in practise.
* carry out practical analysis of simple graphical models.
* conduct the practical analysis of complex regression models with response variables with a small number of possible outcomes.
* carry out practical survey analysis in simple situations.


Stat2 or similar.
4 hours of lecturing, 3 hours of exercise classes per week for 7 weeks
  • Category
  • Hours
  • Exam
  • 45
  • Lectures
  • 28
  • Practical exercises
  • 9
  • Preparation
  • 112
  • Theory exercises
  • 12
  • Total
  • 206
Credit
7,5 ECTS
Type of assessment
Written examination, 24 hours
24 hours take-home exam.
Aid
All aids allowed
Marking scale
7-point grading scale
Censorship form
No external censorship
One internal examiner for the ordinary exam.
Several internal examiners for the oral re-exam.
Re-exam
30 minuttes oral exam.
Criteria for exam assesment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.