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 or oral. 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 2022/2023:
-
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 2022/2023:
- 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)