Notation and abbreviations: problem with paired observations, permutation solution, two-sample problem, on way ANOVA -- Theory of one-dimensional permutation tests: definition of permutation, equivalence of permutation statistics, arguments for selecting permutation tests -- Further properties of permutation tests: unbiasedness of two-sample test, consistency of permutation tests, consistency of permutation tests -- Nonparametric combination methodology: nonparametric combination methodology, some further asymptotic properties -- Multiplicity control and closed testing -- Analysis of multivariate categorical variables -- Permutation testing for repeated measurements: testing solotions, permutation approach, structure of testing problems -- Some stochastic ordering problems: multivariate ordered alternatives, testing for umbrella alternatives, analysis of PERC data -- NPC tests for survival analysis: introduction and main notation comparison of survival curves, overview of the literature -- NPC tests in shape analysis: inference with shape data, NPC analysis with correlated landmarks -- Multivariate correlation analysis and two-way ANOVA: autofluorescence case study, confocal case study

1. Statistical hypothesis testing
2. Permutations
3. Multivariate analysis