The module is designed to provide a detailed treatment on different multivariate statistical analysis techniques commonly used at present as well as the statistical framework underpinning these methods allowing to enhance your ability to discuss and apply multivariate data analysis techniques in practice.

This course begins with some visual representations / graphics for multivariate data and a short recapitulation of matrix algebra.  Hereafter multivariate distributions (in particuluar, the normal distribution) and their characteristics as well as the estimate and test theory in its expansion to the multivariate case are presented.  Finally, different supervised and unsupervised multivariate techniques including cluster analysis, discriminant analysis, principal component analysis, factor analysis, multidimensional scaling, canonical correlation and graphical models are discussed.


Semester: WiSe 2020/21