# Statistics, First Course, 4 credits (TAMS24)

Statistisk teori, grk, 4 hp

### Main field of study

Mathematics Applied Mathematics

First cycle

Programme course

Zhengxia Liu

### Director of studies or equivalent

Ingegerd Skoglund

### Available for exchange students

Yes
Course offered for Semester Period Timetable module Language Campus VOF
6CMED Biomedical Engineering, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CYYI Applied Physics and Electrical Engineering - International, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CYYY Applied Physics and Electrical Engineering, M Sc in Engineering 5 (Autumn 2017) 1 4 Swedish/English Linköping o
6CDDD Computer Science and Engineering, M Sc in Engineering 7 (Autumn 2017) 1 4 Swedish/English Linköping v

### Main field of study

Mathematics, Applied Mathematics

First cycle

G2X

### Course offered for

• Biomedical Engineering, M Sc in Engineering
• Applied Physics and Electrical Engineering - International, M Sc in Engineering
• Applied Physics and Electrical Engineering, M Sc in Engineering
• Computer Science and Engineering, M Sc in Engineering

### Entry requirements

Note: Admission requirements for non-programme students usually also include admission requirements for the programme and threshold requirements for progression within the programme, or corresponding.

### Prerequisites

Calculus, matrix algebra and a first course in probability theory.

### Intended learning outcomes

The course is intended to give basic knowledge of the theory and methods of statistical inference, i.e. how to use observed data to draw conclusions about phenomena influenced by random factors. By the end of the course, the student should be able to:

• use an appropriate probability model to describe and analyse observed data and draw conclusions concerning interesting parameters;
• derive point estimators of parameters and analyse their properties;
• understand the principles of statistical inference based on confidence intervals and hypothesis testing;
• construct confidence intervals and test hypotheses using observed data, draw conclusions and describe the uncertainty;
• explore the nature of the relationships between two or several variables by using simple or multiple linear regression models and discuss the adequacy of the models;
• find probability models and statistical methods in applications from engineering, economy and science and evaluate the results;
• use appropriate statistical software for certain types of statistical analyses.

### Course content

Chi-square-, t-, F-distribution. Point estimation, properties of estimators, the method of maximum likelihood, the method of moments and the least squares method. Confidence intervals and tests of hypotheses for one or several samples especially for normal, binomial and Poisson distribution and certain cases when the central limit theorem can be applied. Chisquare tests. Random vectors, mean vectors and covariance matrices. The multivariate normal distribution.
Multiple regression, estimation of parameters, confidence intervals, prediction, analysis of variance table, selection of regression model.
Statistical software is used for regression analysis.

### Teaching and working methods

The teaching consists of lectures and lessons. Obligatory computer exercises are also included in the course.

### Examination

 LAB1 Laboratory work U, G 1 credits TEN1 Written examination U, 3, 4, 5 3 credits

Four-grade scale, LiU, U, 3, 4, 5

### Other information

Supplementary courses: Statistical Inference - advanced Course, Experimental Design, Multivariate statistical analysis.

### Department

Matematiska institutionen

### Director of Studies or equivalent

Ingegerd Skoglund

Zhengxia Liu

### Course website and other links

http://courses.mai.liu.se/GU/TAMS24

### Education components

Preliminary scheduled hours: 44 h
Recommended self-study hours: 63 h

### Course literature

##### Books
G.Blom, J Enger, G. Englund, J. Grandell, L. Holst, Sannolikhetsteori och statistikteori med tillämpningar Studentlitteratur
##### Compendiums
E. Enqvist, Grundläggande regressionsanalys

### Books

G.Blom, J Enger, G. Englund, J. Grandell, L. Holst, Sannolikhetsteori och statistikteori med tillämpningar Studentlitteratur

### Compendia

E. Enqvist, Grundläggande regressionsanalys