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Statistics I

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code470-2401/03
Number of ECTS Credits Allocated6 ECTS credits
Type of Course Unit *Optional
Level of Course Unit *First Cycle
Year of Study *Third Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
BRI10prof. Ing. Radim Briš, CSc.
KRA0220Ing. Jan Kracík, Ph.D.
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.
Learning Outcomes of the Course Unit
Studens learn basics of mathematical theory of statistics and gain hands-on experince with data analysis using software environment R.
Course Contents
Lectures:

Random sample
- Probability distributions of quadratic forms
- Random sample from normal distribution
- Confidence intervals for parameters of a normal distribution

Hypothesis testing
- Simple hypothesis
- Simple null hypothesis and Composite alternative hypothesis

Estimation theory
- Point estimates and their properties
- Sufficient statistics
- Maximum likelihood estimation, method of moments

Analysis of variance
- One-way analysis of variance

Regression analysis
- Linear regression

Excersises follow lectures.
Recommended or Required Reading
Required Reading:
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
ANDĚL, Jiří. Základy matematické statistiky. Praha: Matfyzpress, 2005. ISBN 80-86732-40-1.

ANDĚL, Jiří. Statistické metody. 4., upr. vyd. Praha: Matfyzpress, 2007. ISBN 80-7378-003-8.

BRIŠ R., LITSCHMANNOVÁ M.,STATISTIKA I. pro kombinované a distanční studium, Elektronické skriptum VŠB TU Ostrava,2004, http://homel.vsb.cz/~bri10/

TEETOR, Paul. R cookbook. Sebastopol, CA: O'Reilly, 2011. ISBN 9780596809157
Recommended Reading:
STERNSTEIN, Martin. Barron's AP statistics. 5th ed. Hauppauge, N.Y.: Barron's Educational Series, c2010. ISBN 978-0-7641-4089-1.
LITSCHMANNOVÁ, M. (2011), Úvod do statistiky, elektronická skripta, dostupné online z: http://mi21.vsb.cz/modul/uvod-do-statistiky

RAO, C. RADHAKRISHNA. Linear statistical inference and its applications. 2. ed., paperback ed. New York: Wiley, 2002. ISBN 0471218758.

STERNSTEIN, Martin. Barron's AP statistics. 5th ed. Hauppauge, N.Y.: Barron's Educational Series, c2010. ISBN 978-0-7641-4089-1.
Planned learning activities and teaching methods
Lectures, Tutorials, Project work
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit40 20
        ExaminationExamination60 20