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.


Course description for study year 2017-2018. Please note that changes may occur.

Semesters

Facts

Course code

STA100

Credits (ECTS)

10

Semester tution start

Spring

Language of instruction

Norwegian

Number of semesters

1

Exam semester

Spring

Time table

View course schedule

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 and analysis of variance. Non-parametric methods and statistical process control. Use of software. 

Learning outcome

After having completed the course one should:
  • 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
  • Know of the central limit theorem
  • Know how to estimate 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.
  • Know some methods for non-parametric statistical analysis
  • Know some basic methods for statistical process control.

Required prerequisite knowledge

Mathematical methods 1 (ÅMA100)

Recommended prerequisites

Mathematical Methods 1 (MAT100)
or ÅMA100 Mathematical methods 1 eller BØK100 Applied methods and statistics

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 — — —


Coursework requirements

Five compulsory assignments, Six compulsory assignments, Two compulsory assigned exercises, Three compulsory exercises, one of them computer exercise.
Compulsory exercises have to be approved in order to take an examination.

Course teacher(s)

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Jan Terje Kvaløy

Method of work

Six hours lectures and two hours problem solving per week. Mandatory work demands (such as hand in assignments, lab- assignments, projects, etc) must be approved by subject teacher three weeks ahead of examination date.

Overlapping courses

Course Reduction (SP)
Probability and Statistics 1 (STA100_1) , Introduction to Probability and Statistics (ÅMA110_1) 5

Open for

Mathematics - One Year Foundation Programme at the Faculty of Science and Technology. Bachelor studies at the Faculty of Science and Technology. Master studies at the Faculty of Science and Technology.

Course assessment

Form and/or discussion

Literature

Gunnar Løvås: Statistikk for universiteter og høgskoler. Latest edition. Chapter: 1 - 10.

Contact

Head of Department:

Bjørn Henrik Auestad

Course coordinator:

Jan Terje Kvaløy

Offered by

Faculty of Science and Technology

Department of Mathematics and Physics

The course description is retrieved from FS (Felles studentsystem). Version 1