CTU FEE Moodle
Statistical Data Analysis
B232 - Summer 23/24
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Statistical Data Analysis - B4M36SAN
| Credits | 6 |
| Semesters | Winter |
| Completion | Assessment + Examination |
| Language of teaching | Czech |
| Extent of teaching | 2P+2C |
Annotation
This course builds on the skills developed in introductory statistics courses. It is practically oriented and gives an introduction to applied statistics. It mainly aims at multivariate statistical analysis and modelling, i.e., the methods that help to understand, interpret, visualize and model potentially high-dimensional data. It can be seen as a purely statistical counterpart to machine learning and data mining courses.
Study targets
No data.
Course outlines
1. Introduction, motivation, a course map, review of the basic statistical terms and methods.
2. Dimension reduction (PCA and kernel PCA).
3. Dimension reduction (other non-linear methods).
4. Clustering (basic methods, spectral clustering).
5. Clustering (biclustering, semi-supervised clustering)
6. Multivariate confirmation analysis (ANOVA and MANOVA).
7. Discriminant analysis (categorical dependent variable, LDA, logistic regression).
8. Multivariate regression (continuous dependent variable, linear regression, p-values, overfitting)
9. Multivariate regression (non-linear models, polynomial and local regression).
10. Anomaly detection.
11. Robust statistics.
12. Empirical studies, their design and evaluation.
13. Power analysis.
14. The final review, spare lecture.
2. Dimension reduction (PCA and kernel PCA).
3. Dimension reduction (other non-linear methods).
4. Clustering (basic methods, spectral clustering).
5. Clustering (biclustering, semi-supervised clustering)
6. Multivariate confirmation analysis (ANOVA and MANOVA).
7. Discriminant analysis (categorical dependent variable, LDA, logistic regression).
8. Multivariate regression (continuous dependent variable, linear regression, p-values, overfitting)
9. Multivariate regression (non-linear models, polynomial and local regression).
10. Anomaly detection.
11. Robust statistics.
12. Empirical studies, their design and evaluation.
13. Power analysis.
14. The final review, spare lecture.
Exercises outlines
1. Programming in R, introduction.
2. R libraries, statistical packages, learning package Swirl.
3. Data visualization in R.
4. Dimension reduction - assignment.
5. Clustering - assignment.
6. Multivariate confirmation analysis - assignment.
7. Discriminant analysis - assignment.
8. Mid-term test.
9. Multivariate linear regression - assignment.
10. Multivariate non-linear regression - assignment.
11. Anomaly detection - assignment.
12. Empirical study design - assignment.
13. Power analysis - assignment.
14. Spare lab, credits.
2. R libraries, statistical packages, learning package Swirl.
3. Data visualization in R.
4. Dimension reduction - assignment.
5. Clustering - assignment.
6. Multivariate confirmation analysis - assignment.
7. Discriminant analysis - assignment.
8. Mid-term test.
9. Multivariate linear regression - assignment.
10. Multivariate non-linear regression - assignment.
11. Anomaly detection - assignment.
12. Empirical study design - assignment.
13. Power analysis - assignment.
14. Spare lab, credits.
Literature
1. Hair, J. F., et al.: Multivariate Data Analysis: A Global Perspective. 7th ed., Prentice Hall, 2009.
2. James, G. et al.: An Introduction to Statistical Learning with Applications in R., Springer, 2013.
2. James, G. et al.: An Introduction to Statistical Learning with Applications in R., Springer, 2013.
Requirements
The general statistical concepts covered in the course B0B01PST. The knowledge of linear classification, clustering and dimensionality reduction, see B4B33RPZ for details.