#
PřF:M9901 Spline smoothing - Course Information

## M9901 Theory and practice of spline smoothing

**Faculty of Science**

Autumn 2015

**Extent and Intensity**- 2/2. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
**Teacher(s)**- doc. PaedDr. RNDr. Stanislav Katina, Ph.D. (lecturer)
**Guaranteed by**- doc. PaedDr. RNDr. Stanislav Katina, Ph.D.

Department of Mathematics and Statistics - Departments - Faculty of Science

Contact Person: doc. PaedDr. RNDr. Stanislav Katina, Ph.D.

Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science **Timetable**- Mon 14:00–15:50 M6,01011
- Timetable of Seminar Groups:

*M. Vinkler* **Course Enrolment Limitations**- The course is also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- Applied Mathematics for Multi-Branches Study (programme PřF, N-MA)
- Economics (programme ESF, N-MA)
- Finance Mathematics (programme PřF, N-MA)
- Mathematical Modelling and Numeric Methods (programme PřF, N-MA)
- Statistics and Data Analysis (programme PřF, N-MA)

**Course objectives**- The main goal of the course is to become familiar with interpolation and smoothing using one- and multivariate splines, outlier detection with applications to electrocardiology, electroencephalography, shape analysis (geometrical morphometrics) on biological objects, statistical analyses of multivariate data, testing of multivariate statistical hypotheses, multivariate SVD models (e.g. generalized PCA), 2D/3D statistical visualisation and implementation to R language.
**Syllabus**- geometric transformations in 2D and 3D,
- multivariate splines, functional models,
- identification of anatomical landmarks, curves, and surfaces,
- testing of multivariate statistical hypotheses,
- multivariate statistical methods for EEG, ECG, and morphometric data,
- 2D/3D statistical graphics

**Literature**- JOHNSON, Richard A. and Dean W. WICHERN.
*Applied multivariate statistical analysis*. 3rd ed. Englewood Cliffs: Prentice-Hall, 1992. xiv, 642 s. ISBN 0-13-041807-2. info

*recommended literature*- CASELLA, George and Roger L. BERGER.
*Statistical inference*. 2nd ed. Pacific Grove, Calif.: Duxbury, 2002. xxviii, 66. ISBN 0534243126. info

*not specified*- JOHNSON, Richard A. and Dean W. WICHERN.
**Teaching methods**- lectures, practicals, homework
**Assessment methods**- homework, oral exam
**Language of instruction**- Czech
**Further Comments**- Study Materials

The course is taught annually.

- Enrolment Statistics (Autumn 2015, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2015/M9901