639-2013/01 – Fundamentals of applied statistics (ZAS)

Gurantor departmentDepartment of Quality ManagementCredits4
Subject guarantorIng. Mgr. Petra Halfarová, Ph.D.Subject version guarantorIng. Mgr. Petra Halfarová, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year2Semesterwinter
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.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 12+0

Subject aims expressed by acquired skills and competences

Knowledge of basic statistical methods Analysis of real data Ability to process correctly experimental data Managing work with Excel

Teaching methods

Lectures
Tutorials

Summary

The subject follows up on probability theory. It uses the 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 required 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. SHESKIN, D. J. Handbook of Parametric and Nonparametric Statistical Procedures. NY: Chapman and Hall, 2003. ISBN 1-58488-440-1. BRUCE, P. and A. BRUCE. Practical Statistics for Data Scientists: 50 Essential Concepts. USA: O´Reilly Media, Inc. 2017. ISBN-13: 978-1491952962

Recommended literature:

MONTGOMERY, D. C. Applied Statistics and Probability for Engineers. NY: Wiley, 2010. ISBN-13 978-1-1185-3971-2.

Way of continuous check of knowledge in the course of semester

Two tests in the course of the semester, where the score is counted towards the cumulative credit points. One project, where the score is counted towards the cumulative credit points. The examination is in written form.

E-learning

on www

Other requirements

Study of actual journal material.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Introduction to statistics – explanation of its use in metallurgy. Graphical representation of data samples, assessment of data type. General principles of testing. 2. Confirmation of data sample homogeneity using graphs. Outliers – their depiction, detection (box plot) and solution. 3. Confirmation of data independence using graphs. Effect of data dependence on quality of data sample processing. 4. Confirmation of normality: normal distribution, Gauss curve and its parameters, empirical histogram. Reasons why normality is required, and procedures to be followed if the normality condition is not met. 5. Descriptive characteristics of location, variability, skewness and kurtosis. The notion of robustness of numerical characteristics. 6. Student’s distribution, Fisher’s distribution, Pearson’s distribution and their graphs. Examples of using the distributions. Use of tables of quantiles and critical values. 7. Point estimation and confidence intervals. „Confidence level“ and „nivel of test“. 8. Analysis of two data samples. Testing the difference of expected values and variances. Two-sample t-test, F-test. 9. Evaluating a measure of dependence (correlation) of two variables: Pearson’s correlation coefficient, Spearman’s rank correlation coefficient. 10. Regression analysis – simple (paired) linear regression. Estimation of regression coefficients by least squares. Assessment of significance and quality of the regression function. Simple nonlinear regression models (power, exponential, logarithmic, quadratic and polynomial models). 11. Regression analysis – multivariate linear regression. Assessment of significance of the model and its regression coefficients. Use of multivariate regression.

Conditions for subject completion

Full-time form (validity from: 2014/2015 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51
        Exercises evaluation Credit 40 (40) 20
                Projekt Project 20  5
                Test Written test 20  5
        Examination Examination 60  31 3
Mandatory attendence participation: 60%

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Conditions for subject completion and attendance at the exercises within ISP: Participation in the exercise is not mandatory. Completion of all mandatory tasks like other students (working-out of individual project, passing running as well as creditś tests) in an individually agreed upon deadline. Processing of any additional tasks depending on the actual participation of the student in the lesson after individually agreed dates.

Show history

Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2021/2022 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2021/2022 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2021/2022 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2020/2021 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2020/2021 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2020/2021 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2020/2021 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2020/2021 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2020/2021 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2020/2021 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2020/2021 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2020/2021 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2020/2021 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2019/2020 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2019/2020 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2019/2020 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2019/2020 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2018/2019 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2018/2019 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2018/2019 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2018/2019 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2018/2019 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2017/2018 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2017/2018 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2017/2018 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2017/2018 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2016/2017 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3923) Materials Engineering (3911R033) Material Recycling P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2016/2017 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2016/2017 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2016/2017 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2015/2016 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2015/2016 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2015/2016 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2015/2016 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3909) Process Engineering (3909R014) Process Engineering and Quality Control Methods P Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry P Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R031) Art Foundry Engineering P Czech Ostrava 2 Optional study plan
2014/2015 (B2109) Metallurgical Engineering (2109R038) Modern Metallurgical Technologies K Czech Ostrava 2 Compulsory study plan
2014/2015 (B2109) Metallurgical Engineering (2109R039) Thermal Engineering and Ceramic Materials K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3923) Materials Engineering (3911R036) Advanced Engineering Materials K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3922) Economics and Management of Industrial Systems (6208R123) Economics and Management in Industry K Czech Ostrava 2 Compulsory study plan
2014/2015 (B3909) Process Engineering (2805R002) Chemistry and Technology of Environmental Protection P Czech Ostrava 2 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2019/2020 Winter
2018/2019 Winter
2017/2018 Winter
2016/2017 Winter
2015/2016 Winter