Statistics and Reliability in Medicine

The course cannot be taken simultaneously with:

Statistical methods for medicine (X01SMM)

The course is a substitute for:

Statistical methods for medicine (X01SMM)

Lecturer:

Libor Přeučil, Mirko Navara (gar.)

Tutor:

Libor Přeučil, Mirko Navara (gar.), Jan Faigl, Radim Tyleček, Michal Uřičář, Vojtěch Vonásek

Supervisor:

Department of Cybernetics

Synopsis:

The course extends previous course EA0B01PSI (Probability, Statistics, and Theory of Information) by specific statistical methods used in biology and medicine. Planning and evaluation of statistical studies is given particular attention. Moreover, the course deals with description, analysis and modeling of reliability issues in the context of technical systems, as well as elaborates reliability estimation for complex systems. Methods and tools for systems backup are introduced.

Requirements:

A0B01PSI (Probability, Statistics, and Theory of Information)

Syllabus of lectures:

1. Basics of modern data analysis. Data description; qualitative, ordinal, and quantitative data.

2. Multidimensional statistical analysis.

3. Randomization, description of methods of explorative and confirmative analysis.

4. Statistical models and their evaluation (linear and logistic regression, sensitivity, specificity, ROC).

5. Selected special methods (analysis of variance, factor analysis, cluster analysis, survival analysis).

6. Methods of statistical planning, monitoring, and evaluation of studies: Formulation and testing of hypotheses I.

7. Testing of hypotheses II, sufficient sample size.

8. Statistical variables, random processes and their use in reliability analysis.

9. Reliability of elements and complex systems, evaluation of composite reliabilities.

10. Improving reliability, redundancy and systems backup.

11. Systems with time dependent failures.

12. Repaired systems.

13. Markov models and reliability analysis.

14. Reserve.

Syllabus of tutorials:

1. Review of probability theory: Random variables and their characteristics.

2. Review of statistics: Hypothesis testing.

3. Markov processes.

4. Linear regression methods, variance analysis.

5. Factor and cluster analysis.

6. Statistical software, data gathering and processing, randomization.

7. Correlation, multidimensional statistical analysis.

8. Hypothesis testing with real data.

9. Complex systems and their reliability I.

10. Complex systems and their reliability II.

11. Redundancy and backuping. 12. Markov models in reliability I. 13. Markov models in reliability II.

14. Reserve. Lessons 6-8 are PC based with the goal to practice standard statistical SW use and real data processing.

Other lessons are of a standard setup shape aimed at deeper understanding, training of problem resolution, and use-case demonstration of the subjected topics.

Project on real statistical data processing in the fields of biology and/or medicine.

Written test on methods for composite reliability evaluation for complex systems.

Study Objective:

Advanced statistical tests and methods, reliability theory.

Study materials:

[1] Wasserman, L.: All of Statistics: A Concise Course in Statistical Inference. Springer Texts in Statistics, Corr. 2nd printing, 2004.

[2] Papoulis, A., Pillai, S.U.: Probability, Random Variables, and Stochastic Processes. McGraw-Hill, Boston, USA, 4th edition, 2002.

[3] Hoang, P. (Ed.): Handbook of Reliability Engineering, Springer Verlag, London/Berlin/Heidelberg, 2003,

ISBN 1852334533, 663 pp.

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri	roomKN:G-3 Uřičář M. Faigl J. 12:45–14:15 (lecture parallel1 parallel nr.101) Karlovo nám. Labor. PCroomKN:G-3 Tyleček R. Vonásek V. 14:30–16:00 (lecture parallel1 parallel nr.102) Karlovo nám. Labor. PCroomKN:G-3 Tyleček R. Vonásek V. 16:15–17:45 (lecture parallel1 parallel nr.103) Karlovo nám. Labor. PC
Thu
Fri	roomT2:C3-52 Navara M. Přeučil L. 12:45–14:15 (lecture parallel1) Dejvice Posluchárna

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans:

• Biomedicínské inženýrství a informatika - Biomedicínská informatika (compulsory course in the program)
• Biomedicínské inženýrství a informatika - Biomedicínské inženýrství (compulsory course in the program)