Course code VidZ5038

Credit points 3

# Statistical Methods

Total Hours in Course81

Number of hours for lectures12

Number of hours for laboratory classes12

Independent study hours57

Date of course confirmation16.03.2022

Responsible UnitInstutute of Landscape Architecture and Environmental Engineering

### Course developer

Datoru sistēmu un datu zinātnes institūts

## Laima Bērziņa

Dr. sc.ing.

### Course abstract

The study course aims to provide knowledge about statistical methods and their application in engineering research. Students gain an understanding of the importance of statistical methods in obtaining accurate judgments and logical conclusions. Students learn the classification of statistical methods, the conditions of methods choice, as well as the application for comparing the average values. In addition, the analysis of the association with the χ2 test is considered.

### Learning outcomes and their assessment

After the study course, the student:
• knows and understands the classification of the variables, the basic methods for their processing, the basic principles of the choice of mathematical-statistical methods in accordance with the research tasks (tests 1 and 2);
• are able to apply basic data processing methods in professional research (laboratory works);
• can analyze and systematize data processing results and use them in research related to the specifics of the industry (homework).

### Course Content(Calendar)

1. The role of statistical methods in engineering [L 1h, P 1h].
2. Acquisition of research data and processing planning [L 1h, P 1h].
3. Primary processing of statistical data, characterization of mean values and dispersion [L 1h, P 1h].
4. Types of statistical data visualization [L 2h, P 2h].
Test 1: description and visualization of statistical data.
5. Types of random size distribution and their determination [L 2h, P 2h].
6. Inferential statistics test statistical hypotheses [L 1h, P 1h].
7. Parametric and non-parametric statistical methods for characterization of the mean value [L 2h, P 2h].
8. Contingency analysis and χ2 as a test of statistical independence [L 2h, P 2h].
Test 2: Comparison of mean values and analysis of contingency.

### Requirements for awarding credit points

Exam. The cumulative assessment consists of:
• 2 tests (includes questions on the theory of acquired topics and solving exercises);
• Homework (practical data research task).
All works must be written and submitted on time.
Tests can be written only at the specified time and once.

### Description of the organization and tasks of students’ independent work

Homework: Preparation, visualization and research of statistical data on the topic of the master's thesis (volume at least 10 pages, submitted electronically, presentation - in the auditorium).

### Criteria for Evaluating Learning Outcomes

The study course evaluation depends on the cumulative evaluation of the study course tests and homework: Test 1: (40%). Test 2: (40%). Homework: data processing, preparation of a report submitted in an e-learning environment, presentation of work results (20%).

Arhipova I., Balina S. Statistika ekonomikā un biznesā. Risinājumi ar SPSS un MS Excel: mācību līdzeklis. Rīga: Datorzinību centrs, 2006. 362 lpp.
Smotrovs J. Varbūtību teorija un matemātiskā statistika II. Rīga: Zvaigzne ABC, 2007. 136 lpp.
Krastiņš O., Ciemiņa I. Statistika: mācību grāmata. Rīga: LR Centrālā statistikas pārvalde, 2003. 267 lpp.
Brandt S. Data analysis: statistical and computational methods for scientists and engineers. 4th edition. Cham: Springer, 2014. 523 p.

Al-Karkhi A., Alqaraghuli W. Applied Statistics for Environmental Science with R. [tiešsaiste] Elsevier, 2020. 240 p. P. [skatīts 31.03.2022.] Pieejams: https://www.sciencedirect.com/book/9780128186220/applied-statistics-for-environmental-science-with-r#book-description
Piegorsch W.W., Bailer J.A. Analyzing Environmental Data. Wiley, 2005. 488 p. P.
Kottegoda, N.T. Applied statistics for civil and environmental engineers. Oxford ; Malden, MA: Blackwell Publishing, 2008. 718 p.

### Periodicals and other sources

1. Official Statistics Portal [online] Available: https://stat.gov.lv/en
2. Eurostat [online] Available: https://ec.europa.eu/eurostat/web/main
3. FAOSTAT [online] Available: https://www.fao.org/faostat/en/#home

### Notes

The course is compulsory for academic master's study programme "Environmental, Water and Land Engineering" full-time studies