Biomedical Statistics

Vztahy:

The course 17KBIBS can be graded only after the course 17KBILAD has been successfully completed.

Garant předmětu:

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. Non-parametric 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. One-sample test hypotheses.

11. One-sample test hypotheses about the mean value compared with an interval estimate.

12. And two-sided paired test hypotheses about the mean value.

13. Non-parametric 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 time-table has been prepared for this course

The course is a part of the following study plans:

• Biomedical Informatics - combined study (compulsory course)