# Before choosing course

The overall purpose of the course is that the student should be acquainted with basic concepts, theory, models and solution methods in probability theory and statistical inference.

Course offering missing for current semester as well as for previous and coming semesters

## Content and learning outcomes

### Course contents

Basic concepts like probabilities, conditional probabilities and independent events. Discrete and continuous models, normal, binomial and Poisson distribution. Central limit theorem and Law of large numbers. Measures of location and scale of random variables and data sets.

Descriptive statistics. Graphical visualisation of data sets. Construction of indices and public statistical production.

Point estimates. Confidence intervals for mean of normally distributed observations. Confidence intervals for proportions, difference in means and proportions. Testing statistical hypothesis.

### Intended learning outcomes

To pass the course, the student should be able to do the following:

• construct elementary statistical models for experiments
• state standard models and explain the applicability of the models in given examples
• summarise data sets with descriptive statistics as measures of location, spread and dependency, and present data graphically
• define real public indices and construct an index in a real application
• calculate estimates of unknown quantities with standard methods and quantify the uncertainty in these estimates
• describe how measuring accuracy affect conclusions and quantify risks and error probabilities when testing statistical hypothesis
• explain the basic concepts behind sampling surveys and critically examine statistical information
• use statistical software

• Combine all the concepts and methods mentioned above in order to solve more complex problems.

### Course Disposition

No information inserted

## Literature and preparations

SF1627 (5B1150).

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

To be announced.

Complemental material from the department.

## Examination and completion

If the course is discontinued, students may request to be examined during the following two academic years.

A, B, C, D, E, FX, F

### Examination

• INL1 - Exersices, 3,0 hp, betygsskala: P, F
• TEN1 - Examination, 3,0 hp, betygsskala: A, B, C, D, E, FX, F

Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.

The examiner may apply another examination format when re-examining individual students.

### Other requirements for final grade

Written exam (3 university credits) and assignments (3 university credits)

### Opportunity to complete the requirements via supplementary examination

No information inserted

### Opportunity to raise an approved grade via renewed examination

No information inserted

### Ethical approach

• All members of a group are responsible for the group's work.
• In any assessment, every student shall honestly disclose any help received and sources used.
• In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.

## Further information

### Course web

Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.

Course web SF1902

SCI/Mathematics

Technology

First cycle