# 230-0303/01 – Statistics (S)

 Gurantor department Department of Mathematics Credits 4 Subject guarantor Ing. Lukáš Pospíšil, Ph.D. Subject version guarantor Ing. Lukáš Pospíšil, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 3 Semester winter Study language Czech Year of introduction 2019/2020 Year of cancellation Intended for the faculties FBI Intended for study types Bachelor
Instruction secured by
BOH10 doc. RNDr. Zdeněk Boháč, CSc.
JAR71 Mgr. Marcela Jarošová
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 goal of the course is to serve as a theoretical and practical base to understand the importance of the basic notions in probability, and teach the student statistical way of thinking as a mean of understanding real life processes, introduce basic methods of collecting and analysing statistical data, and show the student how to use these general methods in other courses of study and in professional career. The graduate of this course should be able: • understand and use basic notions in combinatorics and probability theory • formulate questions, which can be answered based on the given data, for this purpose learn the principles of collecting, processing data and presentation of relevant values and results • choose and use suitable statistical methods for data analysis • suggest and evaluate conclusions (inference) and predictions obtained from data

### Teaching methods

Lectures
Individual consultations
Tutorials
Other activities

### Summary

Random variables: Discrete and continuous random variables, probability distribution, density function, mean, variance, standard deviation. Characteristics of population and sample, measures of central tendency, measures of dispersion sampling distributions. Point estimates, confidence interval, testing hypotheses.

### Compulsory literature:

[1] Triola, Mario, F.: Elementary Statistics. Benjamin/Cummings Publ. Comp., Inc., Redwood City, California 1989. [2] Boháč, Z.: Numerical Methods and Statistics. VŠB – TUO, Ostrava 2005. ISBN 80-248-0803-X

### Recommended literature:

[1] Buchanan, James., L.,Turner, Peter., R.: Numerical Methods and Analysis. McGraw-Hill, Inc. New York 1992. ISBN 0-07-008717-2 [2] https://homel.vsb.cz/~bri10/Teaching/Prob%20&%20Stat.pdf

### Way of continuous check of knowledge in the course of semester

Passing the course, requirements Course-credit (full-time study): 5 points: -participation on tutorials is obligatory, 20% of absence can be accepted, -submition of semestral project in predefined form. 5 – 15 poinst: -accomplish the written tests, -each test can be repeated once, -it is necessary to get at least 5 out of 15 points. Student has to gain at least 10 points in total to obtain credit and procced to final exam. Course-credit (distance study): Based on participation in consultations student can get 5 - 20 points, in case of absence student can get 5 points for elaboration of additional project. Exam Practical part of an exam is classified by 0 - 60 points. Practical part is successful if student obtains at least 25 points. Theoretical part of the exam is classified by 0 - 20 points. Theoretical part is successful if student obtains at least 5 points. Point quantification National grading scheme 100 – 86 excellent 85 – 66 very good 65 – 51 satisfactory 50 – 0 failed

### E-learning

www.studopory.vsb.cz

No more requirements are put on the student.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

1. Random event, experiment, definition of probability. Conditional probability, independent events and its probability. 2. Random variable. Discrete random variable, probability function, distribution function of a discrete random variable. Numerical characteristics. Discrete uniform distribution, Poisson distribution, binomial distribution, hypergeometric distribution. 3. Continuous random variable. Probability density function, distribution function of a continuous random variable, numerical characteristics. Uniform distribution, exponential distribution, normal distribution. 4. Population. Data sample, frequency distributions. 5. Random sample and empirical characteristics. 6. Point and interval estimates of parameters, method of moments and maximum likelihood method. 7. Correlation and regression analysis, covariant and correlation matrix. 8. Approximation by the method of least squares. 9. Tests of hypotheses. 10. F-test of the equality of two variances. 11. Unpaired and paired two-sample t-tests. 12. Pearson's test, Kolmogorov–Smirnov test, two-sample Kolmogorov–Smirnov test. 13. Dixon's Q test, Grubbs' test for outliers. 14. Reserve.

### Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
Credit Credit 20  10
Examination Examination 80 (80) 30
Písemná zkouška Written examination 60  25
Ústní zkouška Oral examination 20  5
Mandatory attendence parzicipation: 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).

Show history

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (B3908) Fire Protection and Industrial Safety (3908R005) Engineering Safety of Persons and Property P Czech Ostrava 3 Compulsory study plan
2020/2021 (B3908) Fire Protection and Industrial Safety (3908R001) Occupational and Process Safety P Czech Ostrava 3 Compulsory study plan
2020/2021 (B3908) Fire Protection and Industrial Safety (3908R003) Emergency Planning and Crisis Management P Czech Ostrava 3 Compulsory study plan
2020/2021 (B3908) Fire Protection and Industrial Safety (3908R006) Fire Protection Engineering and Industrial Safety P Czech Ostrava 3 Compulsory study plan
2019/2020 (B3908) Fire Protection and Industrial Safety (3908R005) Engineering Safety of Persons and Property P Czech Ostrava 3 Compulsory study plan
2019/2020 (B3908) Fire Protection and Industrial Safety (3908R003) Emergency Planning and Crisis Management P Czech Ostrava 3 Compulsory study plan
2019/2020 (B3908) Fire Protection and Industrial Safety (3908R006) Fire Protection Engineering and Industrial Safety P Czech Ostrava 3 Compulsory study plan
2019/2020 (B3908) Fire Protection and Industrial Safety (3908R001) Occupational and Process Safety P Czech Ostrava 3 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner