Courses list

Wersja polska

Course code: IISS10517o16
Semester: 2016/2017 winter
Name: Mathematical statistics
Major: Environmental Engineering
Study Type: first cycle
Course type: compulsory
Study Semester: 3
ECTS points: 5
Hours (Lectures / Tutorials / Other): 15 / 30 / 0
Lecturer: dr hab. Andrzej Michalski
Language of instruction: Polish


Learning outcomes: Knowledge Student knows rules of exploratory data analysis, probability theory basis, basic concepts of mathematical statistics: point and interval estimation, hypothesis testing; he knows probability distributions used in environmental engineering. Skills Student can apply principles of exploratory data analysis for clear data presentation, he is able to perform correctly statistical inference, select and apply appropriate statistical model to describe the phenomenon under study based on empirical data, prepare a report containing the results of statistical analysis using the statistical package.

Competences: Student understands random phenomena, the nature and the need for practical application of a statistical model, he can properly carry out statistical inference and use in practice its results.

Prerequisites: Algebra, mathematical analysis, information technology

Course content: Basic concepts of descriptive statistics: population, random sample, the typology of characteristics of the population. Basic statistics (numerical characteristics) and graphical presentation of empirical material. Basic concepts of probability: probability, random variable, density function, types and examples of probability distributions (such as used in safety engineering). Point estimation, confidence intervals, confidence level, statistical hypothesis, a critical set of the test and the level of significance. Verification of hypotheses and basic statistical tests, regression analysis method.

Recommended literature:

Assessment methods: falling tutorials on the basis of regular work, solving exercises received from a lists, 3 tests and realize report during tutorials. The final evaluation consists of 50 % of exercises score and 50% of lectures score.

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