639-0810/01 – Mathematical Statistics (MS)

Gurantor departmentDepartment of Quality ManagementCredits5
Subject guarantorprof. RNDr. Josef Tošenovský, CSc.Subject version guarantorprof. RNDr. Josef Tošenovský, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageCzech
Year of introduction2004/2005Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
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+2
Combined Credit and Examination 22+0

Subject aims expressed by acquired skills and competences

1) Knowledge of elementary methods of mathematical statistics: - calculation of basic characteristics, - parameter estimation, - hypothesis testing, - regression and correlation analysis 2) Real data analysis

Teaching methods

Lectures
Seminars
Tutorials
Project work

Summary

Processing and analysis of the data which represent unknown population, making models of real situations for extrapolation and interpolation. The basic chapters of mathematical statistics: numerical characteristics, theory of estimation, regression and correlation analysis,testing of hypothesis.

Compulsory literature:

1. Sheskin,D.J.: Handbook of Parametric and Nonparametric Statistical Procedures. Chapmanand Hall, USA 2003. 2. Parzen,E.: Modern Probability Theory and Its Applications. NY, J.Wiley, 1960.

Recommended literature:

1. Montgomery, D. C.: Applied Statistics and Probability for Engineers. NY, Wiley, 2010. ISBN: 978-0-470-50578-6

Way of continuous check of knowledge in the course of semester

Test Essay

E-learning

None

Další požadavky na studenta

There are no additional requirements for students.

Prerequisities

Subject codeAbbreviationTitleRequirement
639-0405 TP Theory of Probability Recommended

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Random Sampling 2. Data Description - Mean, Variance, Standard Deviation, Median, Others 3. Point Estimation of Parameters 4. Statistical Intervals fot a Single Sample 5. Tests of Hypotheses for a Single Sample 6. Simple Linear Regression and Correlation 7. Multiple Linear Regression 8. Test of Independence in Contingency Tables 9. Multivariate Statistical Analysis 10. Graphical Methods for Data Analysis

Conditions for subject completion

Full-time form (validity from: 2012/2013 Winter 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
                Project Project 20  8
                Written exam Written test 20  8
        Examination Examination 60 (60) 31
                Written examination Written examination 50  20
                Oral Oral examination 10  2
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2015/2016 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2014/2015 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2013/2014 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2012/2013 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2011/2012 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2010/2011 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2009/2010 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2008/2009 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2007/2008 (N3923) Materials Engineering (3911T033) Material Recycling P Czech Ostrava 1 Compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T031) Diagnostics and Design of Materials K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T029) Non-ferrous Metals and Special Alloys K Czech Ostrava 1 Compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T030) Engineering Materials K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T033) Foundry Technologies K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T025) Thermal Engineering and Industrial Ceramics K Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T031) Diagnostics and Design of Materials P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T029) Non-ferrous Metals and Special Alloys P Czech Ostrava 1 Compulsory study plan
2004/2005 (N3923) Materials Engineering (3911T030) Engineering Materials P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T033) Foundry Technologies P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T035) Technologies of Metal Production P Czech Ostrava 1 Choice-compulsory study plan
2004/2005 (N2109) Metallurgical Engineering (2109T025) Thermal Engineering and Industrial Ceramics P Czech Ostrava 1 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner