Biomedical Statistics
Code  Completion  Credits  Range  Language 

17PBIBS  Z,ZK  5  2P+2C  Czech 
 Grading of the course requires grading of the following courses:
 Linear Algebra and Differential Calculus (17PBILAD)
 Lecturer:
 Tutor:
 Supervisor:
 Department of Biomedical Technology
 Synopsis:

Introduction into probability theory and mathematical statistics. Classical, geometrical and Kolmogorov definitions of probability. Random variables, their distributions, characteristics, transformations. Population and sample. Parameter estimators. Statistical tests.
 Requirements:

Credit requirements:
To obtain the credit it is necessary to pass three credit tests during the semester. At least 75% of points must be obtained from these tests. Credit is a necessary condition before passing the exam.
Examination Requirements:
Prerequisite for passing the exam is obtaining credit. The exam will be oral and will be evaluated according to Study and examination rules.
 Syllabus of lectures:

1. Motivational lecture. Determinism and randomness.
2. Random variable and its distribution function.
3. Diskétní distribution.
4. Continuous distributions.
5. Random vectors, conditioning and independence.
6. Random vectors, characteristics, functions of random variables.
7. The role of mathematical statistics.
8. Parameter estimation.
9. Testing hypotheses in a normal distribution.
10. Nonparametric tests.
11. Analysis of variance.
12. Principles of experimental design.
13. Summary and repetition
 Syllabus of tutorials:

1. Classical and geometric probability.
2. Combinatorial problems.
3. Discrete variable.
4. Continuous variable.
5. Variable with a normal distribution.
6. Conditional and marginal distributions.
7. Bayes' theorem.
8. Point estimate parameters.
9. Interval estimation of parameters.
10. Onesample test hypotheses.
11. Onesample test hypotheses about the mean value compared with an interval estimate.
12. And twosided paired test hypotheses about the mean value.
13. Nonparametric tests.
14. Chíkvadrát testing hypotheses.
 Study Objective:

Introduction into probability theory and mathematical
statistics. Classical, geometrical and Kolmogorov
definitions of probability. Random variables, their
distributions, characteristics, transformations. Population
and sample. Parameter estimators. Statistical tests.
 Study materials:

[1] Chatfield Ch.: Statistics for Technology, 3rd ed.,
Chapman and Hall, London, 1992^
[2] Altman D.G.: Practical Statistics for Medical Research,
2nd ed., Chapman and Hall, London, 1994
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 Biomedical Informatics  fulltime study (compulsory course)