Syllabus:

**Swedish name: **Statistik för teknologer

**This syllabus is valid: **2022-07-25
and until further notice

**Course code: **5MS079

**Credit points: **7.5

**Education level: **First cycle

**Main Field of Study and progress level: **
Mathematical Statistics: First cycle, has less than 60 credits in first-cycle course/s as entry requirements

Mathematics: First cycle, has less than 60 credits in first-cycle course/s as entry requirements

**Grading scale: **TH teknisk betygsskala

**Responsible department: **Department of Mathematics and Mathematical Statistics

**Established by: **Faculty Board of Science and Technology, 2022-03-02

The notions probability, discrete and continuous random variable, probability function, probability density function, cumulative distribution function, expected value, variance, standard deviation, covariance and correlation, are defined. Furthermore, the most common probability distributions for technical applications are treated, with special emphasis on the normal distribution, distributions for linear combinations of normally and non-normally random variables (in the latter case applying the central limit theorem), and approximations of expected values and variances for non-linear functions of random variables. The notions point estimate, unbiasedness, efficiency, hypothesis, significance level, power, type I and II errors, rejection region, p value and confidence level, are defined. The t-, Chi2-, and F-distributions are applied for hypothesis testing and interval estimation for one and two samples. Furthermore the basics of stochastic simulation, bootstrap and permutation tests, are treated. Finally the analysis of contingency tables, basic analysis of variance, and simple and multiple linear regression analysis, are covered.

Module 2 (4,5 hp):

The theory from Module 1 is applied on problems from areas the students might run into after their education. The data analysis is mainly done with the support of suitable statistical software, focusing mainly on presenting problems and solutions both in oral and written form.

- account for the basic notions and laws from probability theory, that are included in the course
- account for the basic notions from inference theory, that are included in the course

- summarize the results from a statistical study in written and oral form
- apply probability-, probability density- and cumulative distribution functions in order to calculate probabilities, expected values, variances, and standard deviations for random variables
- apply the central limit theorem for probability calculations for linear combinations of random variables.
- set up appropriate null- and alternative hypotheses for conducting statistical tests
- analyze data with the statistical methods in the course, with as well as without the assistance of statistical software

- evaluate the results from a statistical study and draw relevant conclusions
- through judgements, and with account to relevant scientific and ethic aspects, decide what statistical methods are suitable for the analysis of existing data

Deviations from the syllabus examination form can be made for a student who has a decision on pedagogical support due to disability. Individual adaptation of the examination form shall be considered based on the student's needs. The examination form is adapted within the framework of the expected learning outcomes of the course syllabus. At the request of the student, the course coordinator, in consultation with the examiner, must promptly decide on the adapted examination form. The decision shall then be communicated to the student.

A student who has been awarded a passing grade for the course cannot be reassessed for a higher grade. Students who do not pass a test or examination on the original date are given another date to retake the examination. A student who has sat two examinations for a course or a part of a course, without passing either examination, has the right to have another examiner appointed, provided there are no specific reasons for not doing so (Chapter 6, Section 22, HEO). The request for a new examiner is made to the Head of the Department of Mathematics and Mathematical Statistics. Examinations based on this course syllabus are guaranteed to be offered for two years after the date of the student's first registration for the course.

All students have the right to have their previous education or equivalent, and their working life experience evaluated for possible consideration in the corresponding education at Umeå university. Application forms should be adressed to Student services/Degree evaluation office. More information regarding credit transfer can be found on the student web pages of Umeå University, http://www.student.umu.se, and in the Higher Education Ordinance (chapter 6). If denied, the application can be appealed (as per the Higher Education Ordinance, chapter 12) to Överklagandenämnden för högskolan. This includes partially denied applications.

The course can be included as a course in the main subject Mathematics on the basic level.

In the event that the syllabus ceases to apply or undergoes major changes, students are guaranteed at least three examinations (including the regular examination opportunity) according to the regulations in the syllabus that the student was originally registered on for a period of a maximum of two years from the time that the previous syllabus ceased to apply or that the course ended.

Metcalfe Andrew**Statistics in engineering : with examples in MATLAB and R**

Second edition : Boca Raton, FL : CRC Press : 2020 : xviii, 792 pages :

ISBN: 0367570629

Mandatory

Search Album, the University Library catalogue