230-0322/01 – Applied statistics (AS)

Gurantor departmentDepartment of MathematicsCredits5
Subject guarantorIng. Veronika Moškořová, Ph.D.Subject version guarantorIng. Veronika Moškořová, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type B
Year1Semesterwinter
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFBIIntended for study typesBachelor, Follow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BOH10 doc. RNDr. Zdeněk Boháč, CSc.
KRE40 doc. RNDr. Pavel Kreml, CSc.
SVE0150 Ing. Veronika Moškořová, Ph.D.
POS220 Ing. Lukáš Pospíšil, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The aim of the course is to provide theoretical and practical foundation for understanding the importance of basic probability concepts and teach the student statistical thinking as a way of understanding the processes and events around us, to acquaint him with the basic methods of gathering and analyzing statistical data, and to show how to use these general procedures in other subjects of study and in practice. Graduates of this course should be able to: • understand and use the basic terms from the combinatorics and probability theory; • formulate questions that can be answered by the data and understand principles of collecting, processing and presentation of the data; • select and use appropriate statistical methods for data analysis; • propose and evaluate conclusions (inference) and make predictions using the data.

Teaching methods

Lectures
Tutorials

Summary

Combinatorics and probability. Random events, operations with them, sample space. Definitions of events' probability - classical, geometrical, statistics. Conditional probability. Total probability and independent events. Random variable and its characteristics. Basic types of probability distributions of discrete random variables. Basic types of probability distributions of continuous random variables. Random vector, probability distribution, numerical characteristics. Statistical file with one factor. Grouped frequency distribution. Statistical file with two factors. Regression and correlation. Random sample, point and interval estimations of parameters. Hypothesis testing.

Compulsory literature:

Radim Briš, Petra Škňouřilová. STATISTICS I. VŠB - Technical University of Ostrava, Ostrava 2007.

Recommended literature:

W.J. DeCoursey: Statistics and Probability for Engineering Applications With Microsoft(R) Excel. Copyright © 2003 Elsevier Inc. ISBN 978-0-7506-7618-2. Available on-line: http://www.sciencedirect.com/science/book/9780750676182 Atwood C. L. Hits per Trial: Basic Analysis of Binomial Data. Department of Energy, 1994 ; DOI: 10.2172/10191270. Available on-line: http://www.osti.gov/bridge/product.biblio.jsp?osti_id=10191270

Way of continuous check of knowledge in the course of semester

Two tests, 3 projects - 1. regression, 2. characteristics of the statistical file, 3. statistical hypothesis testing

E-learning

Other requirements

There are no other requirements on students.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Combinatorics 2. Introduction to probability theory 3. Conditional probability and independent phenomena. Bayes theorem. Complete probability theorem 4. Random variable and its characteristics 5.-7. Basic types of distribution of discrete and continuous random variables 8. Random vector 9. Statistical file with one argument 10. Statistical file with two arguments 11. Regression and correlation 12. Point and interval estimates of parameters 13. Testing hypotheses 14. Reserve - Examples.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 20  5
        Examination Examination 80 (80) 30 3
                Písemná zkouška Written examination 60  25
                Ústní zkouška Oral examination 20  5
Mandatory attendence participation: At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).

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Conditions for subject completion and attendance at the exercises within ISP: Mandatory participation in the course is not required. Other conditions for subject completion will respect the individual needs of the student.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N1022A020001) HSE Professional P English Ostrava 1 Choice-compulsory type B study plan
2023/2024 (N1022A020001) HSE Professional P English Ostrava 1 Choice-compulsory type B study plan
2022/2023 (N1022A020001) HSE Professional P English Ostrava 1 Choice-compulsory type B study plan
2021/2022 (N1022A020001) HSE Professional P English Ostrava 1 Choice-compulsory type B study plan
2020/2021 (N1022A020001) HSE Professional P English Ostrava 1 Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

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