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Mathematics IV: Statistics
Mathematik IV: Statistik
Last Updated: 2026-02-05 15:48:46
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, Zufallsvariable, diskrete und stetige Verteilungen, Ausblick auf Grenzwertsätze). Beschreibende Statistik (einschliesslich graphische 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 Studiengang Agrarwissenschaften.
Do 16-17 für Studiengang Erd- und Klimawissenschaften.
Fr 9-10 für Studiengang Umweltnaturwissenschaften.
Do 18-19 als Online-Übung ausschliesslich für Studierende, welche nicht an den regulären Übungen in Präsenz teilnehmen können.
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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 (Advisor of the BSc-major "Climate and Water" is Dr. Hanna Joos, Institute for climate and atmosphere (IAC).)
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Electives (The electives listed are recommended. Additional courses can be chosen from the complete offerings of the ETH Zurich and University of Zurich.)
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Environmental Sciences Bachelor (Students can choose between one Bachelor thesis of 10KP or two Bachelor theses of 5KP each. In principle, all professors and lecturers involved in the teaching of the Environmental Sciences degree programme are entitled to supervise a Bachelor's thesis (BA). BA in the area of social sciences and humanities can only be supervised by lecturers who teach in this area. The same applies to BA in the field of natural sciences and technology. If the thesis is supervised by a person who does not teach in the Environmental Sciences degree programme or who does not have ETH lecturer status, then the student has to fill in the "Form for supervisors of a Bachelor thesis who do not teach in the Environmental Sciences degree programme" Link)
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