Code: F7AMBMPV |
Mathematical Methods in Research |
Lecturer: prof. Ing. Karel Roubík Ph.D. |
Weekly load: 2P+2C |
Completion: A, EX |
Department: 17110 |
Credits: 6 |
Semester: W |
- Description:
-
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.
- Contents:
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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
- Seminar contents:
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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
- Recommended literature:
-
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.
Abbreviations used:
Semester:
- W ... winter semester (usually October - February)
- S ... spring semester (usually March - June)
- W,S ... both semesters
Mode of completion of the course:
- A ... Assessment (no grade is given to this course but credits are awarded. You will receive only P (Passed) of F (Failed) and number of credits)
- GA ... Graded Assessment (a grade is awarded for this course)
- EX ... Examination (a grade is awarded for this course)
- A, EX ... Examination (the award of Assessment is a precondition for taking the Examination in the given subject, a grade is awarded for this course)
Weekly load (hours per week):
- P ... lecture
- C ... seminar
- L ... laboratory
- R ... proseminar
- S ... seminar