Principles of Statistical Reasoning - NMSA260
Title: Principy statistického myšlení
Guaranteed by: Department of Probability and Mathematical Statistics (32-KPMS)
Faculty: Faculty of Mathematics and Physics
Actual: from 2025
Semester: winter
E-Credits: 2
Hours per week, examination: winter s.:0/2, C [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: doc. RNDr. Jiří Dvořák, Ph.D.
Teacher(s): doc. RNDr. Jiří Dvořák, Ph.D.
Class: M Bc. OM
M Bc. OM > Doporučené volitelné
M Bc. OM > 2. ročník
Classification: Mathematics > Probability and Statistics
Incompatibility : NMFM261
Is incompatible with: NMFM261
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Annotation -
Seminar illustrating the problems of data acquisition and data analysis under the presence of uncertainty.
Last update: Omelka Marek, doc. Ing., Ph.D. (16.07.2025)
Aim of the course -

The objective of the course is to introduce general principles of statistical data analysis in cases where uncertainty and randomness play a role.

Last update: Dvořák Jiří, doc. RNDr., Ph.D. (12.07.2025)
Course completion requirements -

Five short homework assignments. The nature of these requirements precludes any possibility of additional attempts to obtain the class credit.

Last update: Dvořák Jiří, doc. RNDr., Ph.D. (12.07.2025)
Literature - Czech

Anděl, J.: Statistické úlohy, historky a paradoxy Matfyzpress, Praha, 2018.

Last update: Dvořák Jiří, doc. RNDr., Ph.D. (12.07.2025)
Teaching methods -

Seminar.

Last update: Zichová Jitka, RNDr., Dr. (09.05.2018)
Syllabus -

1. Unexpected properties of data and errors in data.

2. Basics of probability theory.

3. Estimators and their precision, interval estimators.

4. Fitting a regression line.

5. Hypothesis testing, testing of games of chance.

6. Sampling and various sources of sampling bias, randomized response techniques.

7. Data visualisation.

Last update: Dvořák Jiří, doc. RNDr., Ph.D. (12.07.2025)
Registration requirements - Czech

Předmět je primárně určen pro studenty programu Obecná matematika. Kapacita kurzu může být omezená.

Last update: Omelka Marek, doc. Ing., Ph.D. (18.10.2025)