# Before choosing course

In all production today the need of understanding statistics and stochastic processes is very large. To control design and production without availability and understanding of statistics is virtually impossible. To adjust a machine and the operator has no understanding of variance and variation will make the process oscillate and the quality will suffer.

The needed statistics are of course based on mathematical statistics but is in its appearance quite different. This makes it difficult to bridge the gap between theory and application and thus use the pure theoretical statistics in every day applications.

The study course is therefore aimed at creating understanding for the practical use of statistics and the possible advantages the engineer will have from this in the professional life.

### Choose semester and course offering

Choose semester and course offering to see information from the correct course syllabus and course offering.

## Content and learning outcomes

### Course contents

Probability theory

•    Distributions and fundamental definitions and theorems.
•    Reliability.

Statistics

•    Descriptive statistics.
•    Methodology for quality and availability.
•    Point estimations.
•    Assessments from insufficient (censored) data.
•    Interval estimations and statistical tests.
•    Regression analysis.
•    Design of experiments.

### Intended learning outcomes

After completed course, the student should be able to:

•    solve problems within probability theory
•    solve problem within statistics
•    estimate probabilities with simulation
•    apply some methodology for process improvement, for example
•    use concepts within descriptive statistics and illustrate data in different diagrams using software
•    implement a simple analysis of a time series
•    implement fundamental design of experiments, for example factor analysis

### Course Disposition

No information inserted

## Literature and preparations

### Specific prerequisites

Completed course SF1625 or then equivalent.

### Recommended prerequisites

No information inserted

### Equipment

No information inserted

### Literature

• Matematisk Statistik med tillämpningar, Claes Jogréus, Studentlitteratur.
• Mathematics Handbook for Science and Engineering, Lennart Råde, Bertil Westergren, Studentlitteratur.
• Kompletterande material läggs upp på Canvas.

## 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

• TEN1 - Written Exam, 4,0 hp, betygsskala: A, B, C, D, E, FX, F
• ÖVN1 - Exercises, 2,0 hp, betygsskala: P, 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.

### 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 ML1018

### Offered by

ITM/Sustainable Production Development

Technology

First cycle