Basics of Statistics and Informatics

Lecturer:

Vladimír Rogalewicz (gar.)

Tutor:

Vladimír Rogalewicz (gar.)

Supervisor:

Department of Biomedical Technology

Synopsis:

Requirements:

100% participation in practical exercises,

demonstration of the knowledge mastered by a written test,

passing the examination by the method set.

Syllabus of lectures:

Lectures:

1st week Introduction to the theory of probability and mathematical statistics.

2nd week Determinism and randomness.

3rd week Classical and geometrical definitions of the probability.

4th week Axiomatic definition. Random quantity and its distribution function. Discrete and continuous distributions.

5th week Quantities.

6th week Random vectors. Conditioning and independence. Function of random quantities.

7th week Characteristics of random quantities, weak law of large numbers.

8th week The role of mathematical statistics, population and sample group. Random choice.

9th week Point and interval estimates.

10th week Testing of hypotheses. Tests of good agreement. Non-parametric tests.

Syllabus of tutorials:

Tutorials:

1st week Introduction to theory of probability and mathematical statistics.

2nd week Determinism and randomness.

3rd week Classical and geometrical definitions of the probability.

4th week Axiomatic definition. Random quantity and its distribution function. Discrete and continuous distributions.

5th week Quantities.

6th week Random vectors. Conditioning and independence. Function of random quantities.

7th week Characteristics of random quantities, weak law of large numbers.

8th week The role of mathematical statistics, population and sample group. Random choice.

9th week Point and interval estimates.

10th week Testing of hypotheses. Tests of good agreement. Non-parametric tests.

Study Objective:

Targets:

to master basic knowledge within the subject to the extent necessary for the performance of the profession in the branch Radiology Assistant.

Study materials:

Rogalewicz V.: Pravděpodobnost a statistika pro inženýry. Skriptum ČVUT, 2. vydání, 2007.

R. Hindls, S. Hronová, J. Seger: Statistika pro ekonomy, 5.vydání, Professional Publishing, Praha, 2004.

Zvárová, J.: Základy statistiky pro biomedicínské obory. Praha, Karolinum 2004 (dostupná na WWW stránkách

Euromise http://ucebnice.euromise.cz/index.php?conn=0&section=knihy)

Zvára, K.: Biostatistika. Praha, Karolinum 2004 (dostupná na WWW stránkách Euromise

http://ucebnice.euromise.cz/index.php?conn=0&section=knihy)

učební text na internetu Matematika online (http://math.fme.vutbr.cz) připravený VUT Brno, kurz Matematika IV

učební text na internetu (http://www.vscht.cz/mat/el_pom_UM.html) připravený VŠCHT Praha, část Aplikovaná statistika

materiály na WWW stránce předmětu http://www.fbmi.cvut.cz/predmety/bma3/

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Bakalářský studijní obor Radiologický asistent - prezenční (compulsory course)