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Probabilistic and Statistical Methods
Four blocks of topics are covered. (1) A preliminary mathematics course is designed to refresh and deepen elementary mathematical knowledge acquired in school and undergraduate study. (2) The General Linear Model (GLM) is a unifying view of a number of statistical methods and models and a basic example of in-depth frequentist and Bayesian reasoning. In this topic block, the distribution theory of the GLM is covered along with a number of applications. (3) Anatomical localization of cognitive processes is usually achieved by applying the GLM to fMRI data. In this topic block, special features of this procedure (e.g., control of type 1 error rate, psychophysiological interactions, etc.) will be addressed. (4) In a topic block on advanced methods of neuroimaging data analyses, approaches of biophysical modeling or multivariate analysis based on machine learning approaches will be discussed.