470-2401/02 – Statistics I (STA1)

Gurantor departmentDepartment of Applied MathematicsCredits6
Subject guarantorprof. Ing. Radim Briš, CSc.Subject version guarantorprof. Ing. Radim Briš, CSc.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semestersummer
Study languageEnglish
Year of introduction2015/2016Year of cancellation
Intended for the facultiesFEIIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
BRI10 prof. Ing. Radim Briš, CSc.
KRA0220 Ing. Jan Kracík, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Combined Credit and Examination 10+10

Subject aims expressed by acquired skills and competences

Studens learn basics of mathematical theory of statistics and gain hands-on experince with data analysis using software environment R.

Teaching methods

Lectures
Tutorials
Project work

Summary

The course is an introduction to mathematical statistics. Students learn mathematical basis of statistics and gain hands-on experince with data analysis using software environment R.

Compulsory literature:

RAO, C. RADHAKRISHNA. Linear statistical inference and its applications. 2. ed., paperback ed. New York: Wiley, 2002. ISBN 0471218758. Briš R., Probability and Statistics for Engineers, 2011, electronics script, Project CZ.1.07/2.2.00/15.0132. Dostupné z http://homel.vsb.cz/~bri10/Teaching/Prob%20&%20Stat.pdf TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157

Recommended literature:

STERNSTEIN, Martin. Barron's AP statistics. 5th ed. Hauppauge, N.Y.: Barron's Educational Series, c2010. ISBN 978-0-7641-4089-1.

Way of continuous check of knowledge in the course of semester

*10 short tests in the course of semester per 2 points (max.) *Semestral project (with max. 20 points)

E-learning

Další požadavky na studenta

There are not defined other requirements for student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Exploratory data analysis, types of variables, Exploratory analysis of single discrete and continuous variables, summarization of distributions. Probability theory. Random variable and probability distribution, expected value operator and moments of probability distribution, joint and conditional distributions. Probability models for discrete and continuous random variables. Sampling distributions of the mean, distribution of sample proportion Central Limit Theorem. Point and interval estimation. Hypothesis testing, pure significance tests, p-values Two sample tests, paired difference tests. One factor analysis of variance, ANOVA table, multiple comparisons, post hoc analysis. Simple linear regression model, least squares estimation of parameters and properties of the estimates. Multiple regression models.

Conditions for subject completion

Combined form (validity from: 2015/2016 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 40  20
        Examination Examination 60  20
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P English Ostrava 2 Choice-compulsory study plan
2019/2020 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2018/2019 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P English Ostrava 2 Choice-compulsory study plan
2018/2019 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2017/2018 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P English Ostrava 2 Choice-compulsory study plan
2017/2018 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2016/2017 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P English Ostrava 2 Choice-compulsory study plan
2016/2017 (B2647) Information and Communication Technology (1103R031) Computational Mathematics K English Ostrava 2 Choice-compulsory study plan
2015/2016 (B2647) Information and Communication Technology (1103R031) Computational Mathematics P English Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner