Statistical methods for medicine

The course is a substitute for:

Statistics and Reliability in Medicine (A6M33SSL)

Lecturer:

Anna Něničková

Tutor:

Anna Něničková

Supervisor:

Department of Mathematics

Synopsis:

The course covers basic statistical methods and an introduction to random processes for biomedical engineering. The principal topics are point estimates and interval estimates of distribution parameters, confidence intervals, hypothesis testing for distribution parameters, equality of parameters, nonparametric tests, chi-square test, spread and regression analysis. The last two lectures are devoted to classification of random processes.

Requirements:

The requirement for receiving the credit is an active participation in the tutorials.

Syllabus of lectures:

1. Normal distribution and its relation to t and F distributions. Multidimesional normal distribution.

2. Random samples.

3. Sample statistics and sample distributions.

4. Point estimates.

5. Unbiased and efficient estimates.

6. Confidence interval estimates.

7. Tests of hypotheses.

8. Parameter estimation.

9. Nonparametric tests.

10. Goodness of fit test.

11. Sampling theory of correlation.

12. Regression, curve fitting.

13. Analysis of variance.

14. Reserve.

Syllabus of tutorials:

1. Normal distribution and its relation to t and F distributions. Multidimesional normal distribution.

2. Random samples.

3. Sample statistics and sample distributions.

4. Point estimates.

5. Unbiased and efficient estimates.

6. Confidence interval estimates.

7. Tests of hypotheses.

8. Parameter estimation.

9. Nonparametric tests.

10. Goodness of fit test.

11. Sampling theory of correlation.

12. Regression, curve fitting.

13. Analysis of variance.

14. Reserve.

Study Objective:

Study materials:

1. M. K. Ochi: Applied Probability & Stochastic Processes In Engineering. Wiley 1989.

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• Biomedical Engineering- structured studies (compulsory course)