Course code STAT360

STAT360 Theoretical Statistics II

Norsk emneinformasjon

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Showing course contents for the educational year starting in 2019 .

Course responsible: Thore Egeland
Teachers: Trygve Erik Almøy, Thore Egeland, Trygve Erik Almøy
ECTS credits: 10
Faculty: Faculty of Chemistry, Biotechnology and Food Science
Teaching language: EN, NO
(NO=norsk, EN=Engelsk)
Limits of class size:
1000
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. Sufficiency. 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:

KNOWLEDGE: The students will aquire 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.

SKILLS: They should be able to see connections for exponential distribution classes in general and for linear models in particular. 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.

COMPETENCE: The students should be able to apply what they have learned to problems in their studies and later in the professional life and perform analyzes on their own data. They should also be able to ask critical questions about the statistical results presented to them and assess the sustainability of these.

Learning activities:
Lectures, self-study, calculation exercises, project work. The project should be written in a correct scientific language.
Teaching support:

The teacher will be available  also on e-mail (thore.egeland@nmbu.no).

Canvas.

Syllabus:
Will be given on the first lecture.
Prerequisites:
STAT100 or equivalent, MATH130 or equivalent.
Recommended prerequisites:
STAT200, STAT210, STAT321, STAT 340 (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: C2 Alle typer kalkulatorer, alle andre skriftlige hjelpemidler.
Examination details: One written test: A - E / Ikke bestått