Course detail

Multidimensional Analysis of Biomedical Data

FEKT-MPC-VMMAcad. year: 2020/2021

Not applicable.

Learning outcomes of the course unit

Not applicable.

Prerequisites

Not applicable.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

M. Meloun, J. Militký: Kompendium statistického zpracování dat, Academia 2006 (CS)
J. Holčík: Analýza a klasifikace dat, CERM 2012 (CS)
M. Kovár: Maticový a tenzorový počet, VUT v Brně (CS)
A. Hyvärinen, J. Karhunen, E. Oja: Independent Component Analysis, Wiley 2001 (CS)
D. Haruštiaková, J. Jarkovský, S. Littnerová, L. Dušek: Vícerozměrné statistické metody v biologii, CERM 2012 (CS)

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Introduction to analysis of multidimentional biological data. Multidimentional analysis object, pros and cons. Classification of the methods.
2. Linear algebra foundations.
3. Multidimentional distributions and statistical tests.
4. Methods for data preprocessing. Transformation and standardization approaches. Problem of missing data.
5. Relationship between variables in multidimentional space. Similarity and distance measures. Correlation and covariance.
6. Cluster analysis of biological data. Hierarchical and non-hierarchical clustering. Determining the optimal number of clusters. Clusters validation.
7. Ordinal analysis. Review of the methods used in biomedical applications.
8. Principal component analysis (PCA). Singular value decomposition.
9. Factor analysis. Fundamentals of factor analysis. Rotation of the factors.
10. Independent component analysis (ICA). ICA based feature extraction from biomedical data. Relationship between PCA, ICA and factor analysis.
11. Non-linear methods for data dimensionality reduction.
12. Multidimensional data analysis in biomedicine applications – overview.

Aims

Not applicable.

Classification of course in study plans

  • Programme MPC-BIO Master's, 1. year of study, winter semester, 5 credits, compulsory

Type of course unit

 

Computer-assisted exercise

26 hours, compulsory

Teacher / Lecturer

eLearning