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Abstract
This course offers a practically oriented introduction into regression modeling methods. The basic concepts and some mathematical background are included, with the emphasis lying in learning "good practice" that can be applied in every student's own projects and daily work life. A special focus will be laid in the use of the statistical software package R for regression analysis.
Objective
The students acquire advanced practical skills in linear regression analysis and are also familiar with its extensions to generalized linear modeling.
Content
The course starts with the basics of linear modeling, and then proceeds to parameter estimation, tests, confidence intervals, residual analysis, model choice, and prediction. More rarely touched but practically relevant topics that will be covered include variable transformations, multicollinearity problems and model interpretation, as well as general modeling strategies. The last third of the course is dedicated to an introduction to generalized linear models: this includes the generalized additive model, logistic regression for binary response variables, binomial regression for grouped data and poisson regression for count data.
Resources
Lecture Notes
A script will be available.
Literature
Faraway (2005): Linear Models with R Faraway (2006): Extending the Linear Model with R Draper & Smith (1998): Applied Regression Analysis Fox (2008): Applied Regression Analysis and GLMs Montgomery et al. (2006): Introduction to Linear Regression Analysis
General Information
- Language
- English
- Levels
- BSC , DR , MSC , WBZ
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- written 120 minutes
- Aids
- Written aid of max. 20 pages with arbitrary content (format A4, 10 sheets printed on front and back or 20 pages only front-printed, can be machine-written), and a pocket calculator without communication possibilities.
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Applied Statistical Regression | No time listed | 2 h weekly |
| exercise |
Applied Statistical Regression
Mon 10-12 might not work for all different programmes where this course is offered. However, the relevant parts of the exercises will be live-streamed and recorded for later viewing.
|
No time listed | 1 h weekly |
Offered In
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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 (Additional courses can be chosen from the complete offerings of the ETH Zurich and University of Zurich. The following elective courses are strongly recommended for students interested in the "Space Systems" focus: - 401-0624-00L Mathematics IV: Statistics - 151-1633-00L Energy Conversion)
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Mensch-Umwelt Systeme (Die folgenden Lehrveranstaltungen werden als Vorbereitung für die Systemvertiefung Mensch-Umwelt Systeme besonders empfohlen: 401-0625-01L Applied Analysis of Variance and Experimental Design 401-0649-00L Applied Statistical Regression; Voraussetzung 701-0105-00L Mathematik VI: Angewandte Statistik für Umweltnaturwissenschaften)
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 14 of the required 26 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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Doctorate Biology (More Information at: )
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