# Subject description - A6M33SSL

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 A6M33SSL Statistics and Reliability in Medicine Extent of teaching: 2+2c Guarantors: Pošík P. Roles: P Language ofteaching: CS Teachers: Pošík P., Vonásek V. Completion: Z,ZK Responsible Department: 13133 Credits: 5 Semester: L

Anotation:

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.

Study targets:

Statistical tests and estimation methods, reliability theory.

Course outlines:

 1 Rehearsal: relevant concepts of probability theory. 2 Introduction to statistics. Types of variables. Observational study vs experiment. Parameter estimation. 3 Method of moments. Maximum likelihood estimation. 4 Interval estimates. 5 Hypothesis testing. Errors of the 1st and 2nd kind. ROC. 6 Comparing two distributions. Pair experiment. ANOVA. 7 Goodness of fit test. Test of independence. Correlation test. 8 Linear regression. 9 Basics of reliability. Exponential distribution of defects. 10 Basic classification of defects. Computing composite reliabilities. 11 Reliability of systems. 12 Redundancy and system backup. 13 Markov models for reliability analysis.

Exercises outline:

 1 Review of probability theory. 2 Features of parameter estimators. CLV. 3 Parameter estimation: method of moments, maximal likelihood. 4 Interval estimates. 5 Hypothesis testing. 6 Hypothesis testing: comparing two distributions. 7 Goodness of fit tests. 8 Correlation, regression. 9 Reliability of system elements. 10 - 11.  Reliability of complex systems, examples. 12 - 13.  Markov models in reliability.

Literature:

 [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.

Requirements:

We assume knowledge of the probability theory foundations in the extent taught in the first part of course A0B01PSI (Probability, Statistics, and Theory of Information) Students must successfully pass the entry test of course prerequisities in the first week of the semester to get an assessment. If a student fails in this test and does not cancel the course enrollment, the enrollment lapses. As an equivalent of the entry test, a successfully finished course listed among the SSL prerequisities (see above) may be accepted if the student studied the course as a part of her study plan in the BMII programme.

Note:

 URL: https://cw.felk.cvut.cz/doku.php/courses/a6m33ssl/start

Webpage:

http://cw.felk.cvut.cz/doku.php/courses/a6m33ssl/start

Keywords:

statistical tests, reliability theory

Subject is included into these academic programs:

 Program Branch Role Recommended semester MPBIO1 Biomedical Informatics P 2 MPBIO2 Biomedical Engineering P 2

 Page updated 22.5.2019 15:01:10, semester: Z,L/2020-1, L/2019-20, Z,L/2018-9, Z/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)