Course
Probability and Statistics 1 (STA100)
The course gives an introduction to descriptive statistics and basic probability theory for discrete and continuous probability models. Further the course gives an introduction for hypothesis testing, confidence intervals and basic methods for statistical analysis of data.
Dette er emnebeskrivelsen for studieåret 2020-2021. Merk at det kan komme endringer.
Semesters
Fakta
Emnekode
STA100
Vekting (stp)
10
Semester undervisningsstart
Spring
Undervisningsspråk
Norwegian
Antall semestre
1
Vurderingssemester
Spring
Content
The course gives an introduction to descriptive statistics and basic probability theory for discrete and continuous probability models. Introductory theory for estimation and for statistical hypothesis testing in the most common situations is presented. Emphasis is made on both theoretical understanding and applications.
Topics covered: Introduction to basic probability theory, included conditional probability, expectation, variance and the most common probability distributions like binomial, hypergeometric, poisson, exponential and normal. An introduction to point estimation, confidence intervals and hypothesis testing in situations with one and two samples. An introduction to correlation, linear regression, analysis of variance, chi squre tests and statistical process control. Use of software (R).
Learning outcome
- Be able to use basic methods for analysis and presentation of data.
- Be able to do basic probability calculations
- Know what a random variable, probability distribution, expectation and variance is
- Be able to calculate expectation, variance and probabilities for random variables and simple functions of random variables
- Be able to use basic probability distributions like binomial, poission, hypergeometric, exponential and normal
- Be able to use the central limit theorem
- Be able to find estimators and calculate confidence intervals for some important parameters in probability distributions
- Have a basic understanding of hypothesis testing and be able to perform hypothesis testing in some simple situations
- Know the theory for, and be able to use correlation, regression analysis and simple analysis of variance.
- Know the assumptions for the various methods and be able to judge whether the assumptions are fulfilled.
- Be able to use chi square tests
- Be able to use some basic methods for statistical process control.
Forkunnskapskrav
Anbefalte forkunnskaper
Exam
| Form of assessment | Weight | Duration | Marks | Aid | Exam system | Withdrawal deadline | Exam date |
|---|---|---|---|---|---|---|---|
| Written exam | 1/1 | 4 Hours | Letter grades | No printed or written materials are allowed. Approved basic calculator allowed | — | — | — |
Vilkår for å gå opp til eksamen/vurdering
Fagperson(er)
Head of Department:
Bjørn Henrik AuestadCourse coordinator:
Jan Terje KvaløyMethod of work
Overlapping
| Emne | Reduksjon (SP) |
|---|---|
| Probability and Statistics 1 (STA100_1) , Introduction to Probability and Statistics (ÅMA110_1) | 5 |
Åpent for
Emneevaluering
Litteratur
Book
Statistikk for universiteter og høgskoler Løvås, Gunnar G., Oslo, Universitetsforl, XV, 584 s., 2018, isbn:978-82-15-03104-0, Kapittel 1-12.