Course detail
Advanced Methods in Biostatistics
FEKT-MPC-STAAcad. year: 2022/2023
The course is designed as a practice-oriented course focused on advanced application of multivariate statistics and stochastic modeling of the biological and medical data. The course follows on the basic methodology of one-dimensional data analysis. The methods of descriptive multivariate analysis with special emphasis on the visibility of graphical multidimensional data, stochastic modeling and prediction are discussed. Theoretical aspects are always given by way of examples and the emphasis is on the practical aspects of teaching. All computational techniques are practiced using commercially available software tools (Statistica for Windows, SPSS).
Guarantor
Learning outcomes of the course unit
• evaluate the assumptions of multivariate data analysis / modeling and select the appropriate method for solving a given problem,
• apply the ordination methods and cluster analysis,
• use the tools of multivariate linear and logistic regression,
• select and use generalized linear models,
• use of multivariate analysis and models in statistical software.
Prerequisites
Co-requisites
Recommended optional programme components
Literature
LEGENDRE, Piere a Louis LEGENDRE. Numerical Ecology 2. vyd. Elsevier Science, 1998. ISBN 978-0444892508. (EN)
ZAR, Jerrold. Biostatistical analysis. New Jersey: Prentice Hall, 1984. ISBN 978-0321656865. (EN)
HAVRÁNEK, Tomáš. Statistika pro biologické a lékařské vědy. 1. vyd. Praha: Academia, 1993. ISBN 80-200-0080-1. (CS)
ALTMAN, Douglas. Practical statistics for medical research. London: Chapman and Hall, 1991. ISBN 0412276305. (EN)
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Final test for more than 50% points. The test is aimed at testing the overview of multivariate statistics and stochastic modeling.
Language of instruction
Work placements
Course curriculum
2. Multivariate statistical distribution and testing, operations with vectors and matrices
3. Similarities and distances in a multidimensional space, association matrix I
4. Similarities and distances in a multidimensional space, association matrix II
5. Cluster analysis
6. Ordination analysis - principles of dimensionality reduction
7. Ordination analysis - an overview of methods
8. Discriminant analysis
9.The principles of stochastic modeling
10. Linear models - the basics
11. Logistic regression analysis of ROC curves; Advanced prediction methods - an overview
12. Strategy multivariate analysis of clinical data, multi-dimensional data in clinical trials, bases of meta-analysis
13. Review of methods of time series analysis
Aims
Specification of controlled education, way of implementation and compensation for absences
Classification of course in study plans
- Programme MPC-BTB Master's, 1. year of study, winter semester, 5 credits, compulsory-optional