|
Lecturer(s)
|
-
Husáková Lenka, doc. Ing. Ph.D.
-
Česla Petr, doc. Ing. Ph.D.
|
|
Course content
|
The topics covered include: methodology of statistical analysis of univariate data; estimation of parameters of location, dispersion, and shape for selected distributions; mathematical data transformation; analysis of small sample sizes; statistical hypothesis testing; analysis of variance; development of linear regression models; calibration and limits of its accuracy; correlation analysis; design and analysis of experiments, including fractional factorial designs; nonlinear regression models; mathematical principles of multivariate data analysis and methodology of their statistical evaluation; exploratory analysis of multivariate data; principal component analysis; factor analysis; canonical correlation analysis; discriminant analysis; logistic regression; and cluster analysis.
|
|
Learning activities and teaching methods
|
|
Monologic (reading, lecture, briefing), Skills training
|
|
Learning outcomes
|
This course introduces students to selected statistical methods and software tools used in analytical chemistry for experimental design, method development and validation, and the processing and evaluation of experimental data. The course focuses on topics commonly encountered in research projects, doctoral studies, and scientific publishing.
The course develops an understanding of the basic concepts and principles of univariate and multivariate statistical data analysis and provides training in the application of these methods using appropriate software tools. Solving practical tasks and real-world problems forms an integral part of developing the ability to identify relationships and patterns hidden in data, which are essential for the correct interpretation of results.
|
|
Prerequisites
|
Statistical software and analytical tools will be used for data management and analysis. No prior knowledge of statistics or advanced mathematics is required.
|
|
Assessment methods and criteria
|
Written examination, Home assignment evaluation
The acquired skills in interactive statistical data analysis will be assessed through a written semester project completed using appropriate statistical software.
|
|
Recommended literature
|
-
Meloun, M.; Militký, J.; Forina, M. Chemometrics for Analytical Chemistry, Volume 1: PC-Aided Statistical Data Analysis. Ellis Horwood: Chichester, 1992. ISBN 0-13-126376-5.
-
Meloun, M.; Militký, J.; Forina, M. Chemometrics for Analytical Chemistry, Volume 2: PC-Aided Regression and Related Methods. Ellis Horwood: Chichester, 1994. ISBN 0-13-123788-7.
-
MELOUN, M., MILITKÝ, J., HILL, M. Počítačová analýza vícerozměrných dat v příkladech. Praha, 2012.
-
Meloun, M., Militký, J. Interaktivní statistická analýza dat. 3. vyd. Praha: Karolinum, 2012.
-
MELOUN, M.; MILITKÝ, J. Statistické zpracování experimentálních dat.. Praha: Plus, 1994.
-
Montgomery D.C. Design and Analysis of Experiments. 6th Edition: Wiley, 2005. ISBN 978-0-471-48735-7.
|