Mathematical Methods in Research
| Code | Completion | Credits | Range | Language |
|---|---|---|---|---|
| F7AMBMPV | Z,ZK | 6 | 2P+2C | English |
- Garant předmětu:
- Karel Roubík
- Lecturer:
- Jakub Ráfl
- Tutor:
- Jakub Ráfl, Valeriia Trukhan
- Supervisor:
- Department of Biomedical Technology
- Synopsis:
-
The course deals with the following topics: methods of statistical analysis intended primarily for medical research - clinical, biological, biochemical, biophysical and other studies, methods of descriptive and inductive statistics, statistical epidemiological methods, hypothesis testing, group comparison (parametric and non-parametric methods), ANOVA, correlation and simple regression analysis, multivariate regression models, multivariate linear models, logistic regression, discriminant analysis, survival analysis etc., model calculations and interpretation of results.
- Requirements:
-
Requirements for assessment:
Active participation in seminars. Excused absence from a maximum of 2 seminars. All assignments submitted according to the instructions.
Examination:
The final exam is written. Only students who have obtained an assessment can apply for the exam. Subject grading follows the ECTS scale based on points obtained in the mid-term tests and at the exam.
- Syllabus of lectures:
-
1.Statistical procedures in medicine
2. Descriptive statistics I
3.Descriptive Statistics II
4.Hypothesis testing – paired and two-sample tests
5.Hypothesis testing – multivariate analysis
6.One-way analysis of variance
7.Contingency tables
8.Correlation and simple regression
9.Multivariate regression analysis
10.Discriminatory analysis
11.Logistic regression
12.ROC analysis and benefit-cost analysis
13.Survival analysis
14.Principal component analysis and factor analysis
- Syllabus of tutorials:
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1.Calculations of basic parameters of descriptive statistics
2.Calculations of basic parameters of descriptive statistics II
3.T-tests, Mann-Whitney U-test
4.ANOVA, Kruskal-Wallis ANOVA
5.Examples of hypothesis testing in biomedical research
6.Contingence tables
7.Correlation and regression analysis
8.ROC analysis and benefit-cost analysis
9. Multivariate regression analysis
10.Discriminatory analysis
11.Logistic regression
12.Survival analysis
13.Principal component analysis and factor analysis
14.Interpretation of results
- Study Objective:
- Study materials:
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Required:
MOTULSKY, Harvey. Intuitive biostatistics: a nonmathematical guide to statistical thinking. 3rd ed. New York: Oxford University Press, 2014. ISBN 978-0-19-994664-8.
VU, Julie and David HARRINGTON. Introductory Statistics for the Life and Biomedical Sciences [online]. OpenIntro Inc., 2021. Available from: https://www.openintro.org/.
Recommended:
D'AGOSTINO, R. B., ed. Tutorials in biostatistics. Volume 1, Statistical methods in clinical studies [electronic source]. Hoboken: Wiley, 2005. ISBN 9780470023679.
D'AGOSTINO, R. B., ed. Tutorials in biostatistics. Volume 2, Statistical modelling of complex medical data [electronic source]. Hoboken: Wiley, 2005. ISBN 9780470023723.
RAYAT, Charan Singh. Statistical Methods in Medical Research [online]. Singapore: Springer Singapore, 2018. DOI: http://dx.doi.org/10.1007/978-981-13-0827-7. ISBN 9789811308277.
- Note:
- Time-table for winter semester 2023/2024:
-
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 Wed Thu Fri - Time-table for summer semester 2023/2024:
- Time-table is not available yet
- The course is a part of the following study plans:
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- Prospectus - magisterský (!)
- Biomedical and Clinical Engineering (compulsory course)