Multivariate Statistics in Ecology and Quantitative Genetics SS 2015
Lecture with Exercises (Vorlesung mit Übung)
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
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
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.
- Fundamental methods: Multivariate linear regression, Model
Selection, Analysis of Variance (ANOVA), Experimental
designs (nested, balanced, unbalanced,...), Graphical Inspection
of Fitted Models, Generalized Linear Models (GLM), Mixed
- Special Methods for complex ecological datasets:
Redundancy Analysis, Principal Component Analysis (PCA), Canonical
- Analysis of Gene Expression Data
Multiple-Testing Problems, Variance-Stabilizing
Normalization, Regularization, reconciliation with gene ontologies (GO)...
Methods in Genetics: Mapping Quantitative Traits Loci (QTLs).
Haley-Knott regression, Composite Interval Mapping, Multiple-QTL
the genetics task
Linear Models: slides, R commands for
Darwin finches, Darwin finches data, exercises
sheet 1, abcdx.txt, bp.txt
Balanced design ANOVAs, parameter transformations: slides,
R-script, exercises sheet
2, bacteria_trainig.txt, bacteria_predict.txt
Generalized Linear Models: slides,
exercise sheet 3,
Hotellings T2-test slides,
exercise sheet 4,
Principal Component Analysis (PCA): slides,
exercise sheet 5,
PCA Regression: slides
Redundancy Analysis (RDA): slides,
exercise sheet 6,
Correspondence Analysis (CA): slides,
Canonical Correspondence Analysis (CCA): slides,
exercise sheet 7
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.
Introductory statistics with R / Peter Dalgaard (Springer 2002)
Biometry: The Principles and Practice of Statistics in
Biological Research (3rd Ed.) / Sokal, Rohlf, (Palgrave Macmillan 1995)
Mixed effects models and extensions in ecology with R /
Alain F. Zuur, Elena N. Ieno, N. J. Walker,
Anatoly A. Saveliev, Graham M. Smith.
Modern applied statistics with S / W. N. Venables ; B. D. Ripley. - 4.
ed. (Springer 2002)
A Guide to QTL Mapping with R/qtl /
Karl W. Broman & Saunak Sen (Springer 2009)
Analysing ecological data / Alain F. Zuur ; Elena N. Ieno ; Graham M.
Smith. (Springer 2007)
Genetics and analysis of quantitative traits / Michael Lynch ; Bruce
Walsh. (Sinauer 1998)
Introduction to quantitative genetics / D. S. Falconer and Trudy F. C.
Mackay. - 4. ed. (Pearson 1996)
Numerical ecology / Legendre & Legendre (Elsevier 1998)
Statistical Genetics of Quantitative Traits / Wu, Ma & Casella. (Springer 2007)
Bioinformatics and Computational Biology Solutions Using R and Bioconductor /
R. Gentleman, V.J. Carey, W. Huber, R.A. Irizarry, S. Dudoit (Eds.). (Springer
Mixed effects models in S and S-PLUS / Jose C. Pinheiro ; Douglas M.
Bates. (Springer, 2004)
Last update: 13. July 2015