CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# 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:

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:

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 roomKL:B-433Trukhan V.12:00–13:50(lecture parallel1parallel nr.1)Kladno FBMILab. KI a MZTroomKL:B-537Ráfl J.14:00–15:50(lecture parallel1)Kladno FBMIUčebna
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2023-08-30
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet6184006.html