Multivariate Statistics in Ecology and Quantitative Genetics SS 2015

Lecture with Exercises (Vorlesung mit Übung)


Dirk Metzler and Paul Staab

Time and rooms

June 29 2015 until July 17 2015
Lecture: Each day from 9:00 to 10:30, usually in room C00.013.
Exercises: Usually Tuesday to Friday from 10:45 to 12:00 and from 1 pm to 5 pm (sometimes 6 pm).


The makeup exam will be on 28. July at 12:00 noon in the big leture hall of the chemistry deparment (Liebighörsaal; together with Bachelor students who will have their stats exam). 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. Linear Models: slides, R commands for Darwin finches, Darwin finches data, exercises sheet 1, abcdx.txt, bp.txt
  2. Balanced design ANOVAs, parameter transformations: slides, R-script, exercises sheet 2, bacteria_trainig.txt, bacteria_predict.txt
  3. Generalized Linear Models: slides, exercise sheet 3, TbDeerAndBoar.txt
  4. Hotellings T2-test slides, exercise sheet 4, grapes.txt
  5. Principal Component Analysis (PCA): slides, R-script, exercise sheet 5, HeightShoeWeight.txt EWU.txt
  6. PCA Regression: slides
  7. Redundancy Analysis (RDA): slides, R-script, exercise sheet 6, EWU.txt, HSWoutlier.txt, artificialFishes.txt, RIKZGroups.txt
  8. Correspondence Analysis (CA): slides, R-script, MexicanPlants.txt
  9. Canonical Correspondence Analysis (CCA): slides, R-script, exercise sheet 7
  10. Mixed-effects models slides, lme4a.R, mcmcglmm.R, exercise sheet 8, fruits.txt

Material will be added during the course. Here is the course material from 2014.


Last update: 13. July 2015