639-2002/01 – Mathematical Statistics (MS)

Gurantor departmentDepartment of Quality ManagementCredits6
Subject guarantorprof. RNDr. Josef Tošenovský, CSc.Subject version guarantorprof. RNDr. Josef Tošenovský, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semestersummer
Study languageCzech
Year of introduction2014/2015Year of cancellation
Intended for the facultiesFMTIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
HAL37 Ing. Mgr. Petra Halfarová, Ph.D.
TOS012 Ing. Filip Tošenovský, Ph.D.
TOS40 prof. RNDr. Josef Tošenovský, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+3
Combined Credit and Examination 18+0

Subject aims expressed by acquired skills and competences

Knowlege of Basic statistical Methods Analysis of Experimental Data

Teaching methods

Lectures
Seminars
Tutorials
Project work

Summary

The subject Mathematical Statistics follows up on probability theory. It uses tools of probability to present estimation of population parameters, hypothesis testing, modelling of technological processes with regression models and their assessment by correlation analysis. Multivariate regression is taught under the necessary theoretical conditions. Correlation analysis shows ways of measuring dependence for various types of variables.

Compulsory literature:

JAMES, G., D. WITTEN, T. HASTIE a R. TIBSHIRANI. An Introduction to Statistical Learning. NY: Springer, 2013. ISBN 978-1-4614-7138-7.

Recommended literature:

MONTGOMERY, D. C. Applied Statistics and Probability for Engineers. NY: Wiley, 2010. ISBN-13 978-1-1185-3971-2. SHESKIN, D. J. Handbook of Parametric and Nonparametric Statistical Procedures. NY: Chapman and Hall, 2003. ISBN 1-58488-440-1.

Way of continuous check of knowledge in the course of semester

Test Essay

E-learning

E-learning: Integrovaný systém modulární počítačové výuky ekonomicko-technického zaměření (http://lms.vsb.cz): Vzdělávací modul 4 – Zlepšování procesů s využitím statistické analýzy, submodul Průzkumová analýza dat: Grafické nástroje (s. 3 – 21) Intervalové odhady (s. 25 – 33) Testování hypotéz (s. 33 – 67) Regresní analýza (s. 73 – 90) TOŠENOVSKÝ, J. Plánování experimentů. Studijní opory. Ostrava: VŠB-TU Ostrava, 2012. TOŠENOVSKÝ, J. Teorie pravděpodobnosti. Studijní opory. Ostrava: VŠB-TU Ostrava, 2012.

Další požadavky na studenta

Submission of projects, the successful completion of tests during the semester, active participation in the lesson. Development of two specified programs, each in the range of 4 s theme of the program.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Population and sample, random sample, frequencies 2. Division of data into classes (procedure and reason for doing so), histogram 3. Moment and quantile characteristics 4. The theorem on a single drawing from normal distribution and its use 5. The theorem on two drawings from normal distribution and its use 6. Hypothesis testing – general procedure, type I and II errors in testing 7. F-test, t-tests (all steps taken in the test) 8. Correlation analysis (the r coefficient and its testing, correlation index, condition for use, properties) 9. Multivariate regression analysis (principal matrix formulae) 10. Spearmann’s correlation coefficient, contingency tables 11. Point estimation of 12. Interval estimation of 13. Test of normality (skewness and kurtosis of normal distribution, Shapiro-Wilk test and its table of critical values) 14. Testing of outliers (Grubb’s test, Box Plot), tests of data independence (sign test).

Conditions for subject completion

Combined form (validity from: 2014/2015 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 40 (40) 20
                Písemka Written test 40  20
        Examination Examination 60  31
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (3902R062) Quality Management K Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
FMST 2019/2020 Full-time English Compulsory 601 - Study Office stu. block
FMMI 2018/2019 Full-time English Compulsory 601 - Study Office stu. block
FMMI 2017/2018 Full-time English Compulsory 601 - Study Office stu. block
FMMI 2016/2017 Full-time English Compulsory 601 - Study Office stu. block
FMMI 2015/2016 Full-time English Compulsory 601 - Study Office stu. block
FMMI_N 2014/2015 Full-time Czech Compulsory 601 - Study Office stu. block