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Mathematics IV: Statistics
Mathematik IV: Statistik
Last Updated: 2026-02-05 16:16:22
Abstract
Introduction to basic methods and fundamental concepts of statistics and probability theory for practicioners in natural sciences. The concepts will be illustrated with some real data examples and applied using the statistical software R.
Objective
Capacity to learn from data; good practice when dealing with data and recognizing possible fraud in statistics; basic knowledge about the laws of randomness and stochastic thinking (thinking in probabilities); application of simple methods in inferential statistics (e.g., several hypothesis tests will be introduced), i.a. also using the statistical software R. The lecture will be held in German.
Content
Einführung in die Wahrscheinlichkeitsrechnung (Grundregeln, Zufallsvariablen, diskrete und stetige Verteilungen, Ausblick auf Grenzwertsätze). Beschreibende Statistik (einschliesslich grafische Methoden). Methoden der Analytischen Statistik: Schätzungen, Tests (einschliesslich Binomialtest, t-Test, Vorzeichentest, F-Test, Wilcoxon-Test), Vertrauensintervalle, Vorhersageintervalle, Korrelation, einfache und multiple lineare Regression. Einführung in die statistische Programmiersprache R.
Resources
Lecture Notes
Ausführliches Skript zur Vorlesung ist erhältlich.
Literature
Stahel, W.: Statistische Datenanalyse. Vieweg, 5. Auflage 2008 (als ergänzende Lektüre)
General Information
- Language
- German
- Levels
- BSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 120 minutes
- Aids
- Zusammenfassung: 10 A4 Seiten (= 5 Blätter; beliebig gefüllt)WörterbuchTaschenrechner (beliebiges Modell, ohne Kommunikationsmöglichkeit)
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Mathematik IV: Statistik |
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2 h weekly |
| exercise |
Mathematik IV: Statistik
Groups are selected in myStudies.
Do 10-11 für Studiengang Lebensmittelwissenschaften.
Do 13-14 für Studiengänge Agrarwissenschaften sowie Erd- und Klimawissenschaften.
Fr 9-10 für Studiengänge Umweltnaturwissenschaften sowie Erd- und Klimawissenschaften.
Fr 12-13 als Alternativtermin für alle Studiengänge.
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|
1 h weekly |
Offered In
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Major: Geology and Geophysics (Advisors of the major in Geology and Geophysics are Dr. Vincenzo Picotti (Geology) and Dr. Jérôme Noir (Geophysics).)
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Major: Climate and Water (Dr. Hanna Joos, Institute for Climate and Atmosphere, is available for consultations in the Climate and Water specialisation.)
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Electives (At least 11 KP must be completed within the electives. Dr. Hanna Joos, Institute for Climate and Atmosphere, is available for consultations in the Climate and Water specialisation.)
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