Course code STAT360

STAT360 Theoretical Statistics II

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Showing course contents for the educational year starting in 2015 .

Teachers: Solve Sæbø, Ellen Sandberg, Trygve Erik Almøy
ECTS credits: 10
Faculty: Department of Chemistry, Biotechnology and Food Science
Teaching language: EN, NO
(NO=norsk, EN=Engelsk)
Teaching exam periods:
This course starts in Spring parallel. This course has teaching/evaluation in Spring parallel.
Course frequency: The course is given anually, but depends on available resources and a minimum of students.
First time: 2007H
Course contents:
Fisher information. Cramer-Raos inequality. The most important asymptotic results in estimation theory. Sufficience. Bayesian statistics. Linear models treated generally with matrix formulation. Specialisation to regression analysis, variance analysis and covariance analysis. Estimation and hypothetis testing in linear models. Estimability. Optimality in connection with linear models. Multi-variable distributions from a matrix formulation. Theory on model reduction, prediction and classification.
Learning outcome:
The students will acquire a basic theoretical understanding of the most important classes of mathematical-statistical models used for instance when analysing biological data, and for the statistical methods developed in connection with such models. They should be able to see connections for exponential distribution classes in general and for linear models especially. They should also understand why and when a model reduction produces better result. The students will also be able to present subject-relevant material both orally and written.
Learning activities:
Lectures, self-study, calculation exercises, project work. The project should be written in a correctly scientific language.
Teaching support:
The teacher will be available in office hours, also on e-mail.
Syllabus:
Handed out at the first lecture.
Prerequisites:
STAT100 or equivalent, MATH130 or equivalent.
Recommended prerequisites:
STAT200 or STAT300, STAT210 or STAT310 (or similar courses).
Mandatory activity:
Project assignment.
Assessment:
Written exam, 3,5 hours, counts 100 %.
Nominal workload:

Lectures: 50 hours.

Colloquia: 30 hours.

Self-study: 220 hours.

Entrance requirements:
Special requirements in Science
Type of course:
4 hours per week. Mainly lectures, but also some calculation exercises.
Examiner:
An external examiner controls and approves the examination assignment and grades the examination papers together with the lecturer.
Allowed examination aids: All types of calculators, all other aids.
Examination details: One written test: A - E / Ikke bestått