Statistics and R
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Lecture "Applied Multivariate Statistics" 2011/2012
In order to enable (1) studying from home, (2) watching the lectures again at a later time (e.g. preparation for the exam, data analysis for thesis) and (3) following the lecture from outside of university, I make this lecture publicly available including all course materials. Note that all material comes without guarantee!
You can download the course schedule and the literature list. The slides are provided cumulatively i.e. slides for a session contain all slides of the previous sessions. Hence, in order to obtain the full set, you only need to download the slides of Session 6.
In case you have any comments regarding content, please feel free to contact me.
Session 1: Introduction and revisiting univariate statistics
Contents: Exploratory data analysis, statistical modelling, comparison of central tendency, linear regression model with diagnostics
Materials: Lecture slides (with notes), R starter script with exercises, possum data set, tannin data set and video from the lecture. A complete R script with all solutions to the exercises can be found here.
Session 2: Linear Modelling
Contents: Multiple linear regression, collinearity, goodness of fit and variable selection, relative importance of variables.
Session 3: GLMs and multivariate Hypothesis testing
Contents: Generalized linear models (GLMs), Introduction multivariate data analysis and multivariate hypothesis tests.
Session 4: MANOVA and Resemblence metrics
Contents: Hotelling T2, MANOVA, Jaccard index, Bray-Curtis index and Euclidean distance.
Session 5: PERMANOVA and Classification
Contents: Visualising distances, PERMANOVA and Cluster analysis.
Session 6: Ordination
Contents: Introduction, Principal Component Analysis and Non-metric multidimensional Scaling