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Terminated in academic year 2018/2019

Advanced Statistical Methods for Data Processing

Type of study Follow-up Master
Language of instruction Czech
Code 541-0135/01
Abbreviation PSM
Course title Advanced Statistical Methods for Data Processing
Credits 5
Coordinating department Department of Geological Engineering
Course coordinator Doc. PaedDr. Vladimír Homola, Ph.D.

Subject syllabus

1. Introduction to statistical data analysis
2. The issue writing of values (decimal places), rounding and missing values (limit of detection)
3. Exploratory data analysis – graphical techniques, outliers, statistical tests and data transformation
4. Confirmatory data analysis – classical and robust estimators of central tendency and variability, small datasets
5. Statistical hypothesis testing – parametric and nonparametric hypothesis tests
6. Linear regression and correlation analysis
7. Analysis of variance (ANOVA) – one-way ANOVA
8. Analysis of variance (ANOVA) – two-way ANOVA and MANOVA
9. Multivariate statistical methods – basic assumptions
10. Cluster analysis
11. Principal component analysis
12. Factor analysis
13. Two-dimensional interpolation, extrapolation and approximation
14. Three-dimensional Interpolation, extrapolation, approximation

Literature

MELOUN, Milan a Jiří MILITKÝ. Statistical data analysis: A practical guide with 1250 exercises and answer key on CD. Philadelphia: Woodhead Publishing India Pvt Ltd, 2011. ISBN 978-93-80308-11-1 .
RENCHER, Alvin C. a William F. CHRISTENSEN. Methods of multivariate analysis. 3rd ed. Hoboken: Wiley, 2012. Wiley series in probability and statistics. ISBN 978-0-470-17896-6 .

Advised literature

BERTHOUEX, P. Mac a Linfield C. BROWN. Statistics for environmental engineers. 2nd ed. Boca Raton: Lewis Publishers, 2002. ISBN 15-667-0592-4 .
DEVORE, Jay L. a Kenneth N. BERK. Modern mathematical statistics with applications. 2nd ed. London: Springer, 2012. Springer texts in statistics. ISBN 14-614-0390-1 .
MCKILLUP, Steve a M. Darby DYAR. Geostatistics explained: an introductory guide for earth scientists. Cambridge: Cambridge University Press, 2010. ISBN 978-0-521-74656-4.