# STAT351 Statistical Theory

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#### Showing course contents for the educational year 2021 - 2022 .

Course responsible: Thore Egeland
Teachers: Lars Erik Gangsei, Lars Gustav Snipen
ECTS credits: 10
Faculty: Faculty of Chemistry, Biotechnology and Food Science
Teaching language: EN
(NO=norsk, EN=Engelsk)
Limits of class size:
100
Teaching exam periods:
This course starts in fall parallel. This course has teaching/evaluation in the fall parallel.
Course frequency: The course is given anually in the fall term.
First time: 2020H
Preferential right:
M-BIAS
Course contents:
Continuous probability distributions.The most important asymptotic results in estimation theory. Linear models treated generally with matrix formulation. Specialisation to regression analysis. Estimation and hypothetis testing in linear models. Multivariable distributions from a matrix formulation. Simulation in R/R-studio.
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:
Canvas.
Syllabus:
Will be given on the first lecture.
Prerequisites:
STAT100 or equivalent, MATH131 or equivalent. Basic knowledge of R/R-studio.
Recommended prerequisites:
STAT200 and STAT210 (or similar courses). MATH111 Kalkulus.
Mandatory activity:
At least one compulsory assignment.
Assessment:
Written exam, 3,5 hours, counts 100 %. Approved compulsory activity.

Lectures: 50 hours.

Colloquia: 30 hours.

Self-study: 170 hours.

Entrance requirements:
Special requirements in Science
Reduction of credits:
Stat 351 is essentially a merging of the previous courses Stat321 and Stat360. There is a 4 credit reduction for each of these courses.
Type of course:
4 hours per week. Mainly lectures, but also some calculation exercises.
Note:
The course is taught for the first time the fall of 2020.
Examiner:
An external examiner controls and approves the examination assignment and grades the examination papers together with the lecturer.
Allowed examination aids: C3 Alle typer kalkulatorer, alle andre hjelpemidler - inkludert digitale
Examination details: Written exam: A - E / F