Statistical methods for medicine

Lecturer:

Tutor:

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 and to Markov chains.

Requirements:

To be specified in seminars by tutors.

Syllabus of lectures:

1. Basic distributions (t,F, n-dimensional normal, multinomial).

2. Random sampling, ordered sampling and their distributions.

3. Sample statistics.

4. Point estimates and interval estimates.

5. Confidence intervals.

6. Estimations, unbiased and consistent estimates.

7. Hypothesis testing for distribution parameters.

8. Hypothesis testing for equality of parameters.

9. Nonparametric tests.

10. Chi-square test.

11. Spread analysis, simple and double-stratified selection.

12. Regression analysis.

13. Classification of stochastic processes.

14. Markov chains.

Syllabus of tutorials:

1. Basic distributions (t,F, n-dimensional normal, multinomial).

2. Random sampling, ordered sampling and their distributions.

3. Sample statistics.

4. Point estimates and interval estimates.

5. Confidence intervals.

6. Estimations, unbiased and consistent estimates.

7. Hypothesis testing for distribution parameters.

8. Hypothesis testing for equality of parameters.

9. Nonparametric tests.

10. Chi-square test.

11. Spread analysis, simple and double-stratified selection.

12. Regression analysis.

13. Classification of stochastic processes.

14. Markov chains.

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)