Multivariate Statistics in Ecology and Quantitative Genetics SS 2016

Lecture with Exercises (Vorlesung mit Übung)


Dirk Metzler and Noémie Becker

Time and rooms

June 27 2016 until July 15 2016
Lecture: Each day from 9:00 to 10:30
Exercises: Usually Tuesday to Friday from 10:45 to 12:00 and from 1 pm to 5 pm (sometimes 6 pm).
Rooms: on Mondays in E02.023, on Tuesdays, Wendesdays and Fridays in E03.052, on Thursdays in the first and the third week in D00.013, and on the Thursday in the 2nd week in G 00.031.
Exercises: Usually Tuesday to Friday from 10:45 to 12:00 and from 1 pm to 5 pm (sometimes 6 pm). We will have the lab room D00.027 for the exercise sessions.


The make-up exam will be on 15. September at 2:00 pm in lecture hall B01.019. To take the make-up exam you need to register by e-mail to Dirk Metzler by 12. September. You will have 90 minutes to answer the questions. Participants can bring non-programmable pocket calculators an their personal assortment of formulas on an A4 sheet. This A4 can have any contents on both sides BUT ONLY IN YOUR OWN HANDWRITING! (no copy, not print-out, not another person's handwriting) Please note: If you fully attend the course (which is required to get the ECTS points) you will need the time between the 11 a.m. and 5 p.m. to solve exercises, which will be given in the morning lectures and discussed in the afternoon courses.


Basic knowledge of statistics. If you are not already familiar with the free R software, it may be a good idea to install it on your computer and get a bit familiar with it before the course starts. Some examples (data file FinchesSulloway.txt), R tutorial, Martin's introductory R course.


In the exercises you will practice to analyse data with the methods listed below using the R software. We will discuss the interpretations of the results and problems that may arise during the analysis. In the lectures we will explain the theoretical concepts behind the methods and show how these methods can be applied.

If you would like to discuss analyses of your own datasets during the course, please contact D. Metzler as soon as possible.

Language: English

Course material

  1. Basics on anova: slides
  2. Linear Models: slides, R commands for Darwin finches, Darwin finches data, exercises sheet 1, abcdx.txt, bp.txt
  3. Balanced design ANOVAs, parameter transformations: slides, R-script, exercises sheet 2, bacteria_trainig.txt, bacteria_predict.txt
  4. Generalized Linear Models: slides, exercise sheet 3, TbDeerAndBoar.txt
  5. Hotellings T2-test slides, R-script, raspberry.csv exercise sheet 4, grapes.txt
  6. Principal Component Analysis (PCA): slides, R-script, exercise sheet 5, HeightShoeWeight.txt EWU.txt
  7. PCA Regression: slides
  8. Redundancy Analysis (RDA): slides, R-script, exercise sheet 6, EWU.txt, HSWoutlier.txt, artificialFishes.txt, RIKZGroups.txt
  9. Correspondence Analysis (CA): slides, R-script, MexicanPlants.txt
  10. Canonical Correspondence Analysis (CCA): slides, R-script, exercise sheet 7
  11. Mixed-effects models slides, lme4a.R, mcmcglmm.R, exercise sheet 8, fruits.txt
  12. QTL Mapping slides, R-script, exercise sheet 9
  13. RNA-Seq gene expression slides , R-script

Material will be added during the course. Here is the course material from 2015.


Last update: 5. August 2016