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Course, academic year 2023/2024
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Applications of Multivariate Statistical Methods in Meteorology and Climatology - NMET512
Title: Využití vícerozměrných statistických metod v meteorol. a klimat.
Guaranteed by: Department of Atmospheric Physics (32-KFA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Teaching methods: full-time
Guarantor: prof. RNDr. Radan Huth, DrSc.
Class: DS, meteorologie a klimatologie
Classification: Physics > Meteorology and Climatology
Annotation -
Last update: T_KMOP (29.04.2004)
Introduction to multivariate statistical methods currently used in meteorology and climatology, with emphasis on their practical applications
Course completion requirements - Czech
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (19.10.2017)

Ústní zkouška v rozsahu témat daných sylabem.

Literature - Czech
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (13.05.2020)

Dle doporučení vyučujícího.

Requirements to the exam - Czech
Last update: doc. Mgr. Jiří Mikšovský, Ph.D. (19.10.2017)

Ústní zkouška v rozsahu témat daných sylabem.

Syllabus -
Last update: T_KMOP (29.04.2004)

1. Introduction

  • need to analyze huge datasets
  • examples of tasks leading to the use of multivariate methods: classification, regionalization, reduction of datasets, removal of linear dependency, ...

2. Multiple linear regression

  • basic notions and definitions
  • methods of selection of predictors

3. Principal component analysis

  • definitions
  • derivation, basic properties
  • selection of the input data matrix (modes of decomposition)
  • selection of similarity matrix
  • concept of simple structure, rotation, selection of the number of components
  • interpretation of results
  • Buell's map sequences

4. Cluster analysis

  • basic definitions
  • (dis)similarity measures
  • algorithms, their properties
  • fuzzy methods
  • principal component analysis as a cluster analysis method

5. Canonical correlation analysis

  • basic derivation
  • interpretation of results
  • relations among multiple regression, principal component analysis, and canonical correlation analysis

6. Examples of treating specific tasks

  • definition of climate areas (regionalization)
  • teleconnections (modes of variability) in geopotential height fields - incl. comparison with correlation method
  • classification of circulation patterns
  • classification of air masses (weather types)
  • relationships between circulation and surface climate elements (temperature, precipitation)
  • statistical downscaling
  • identification and removal of ?non-meteorological" signal
  • Model Output Statistics

 
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