Interesting problems with compositional data. Constraints and problems they cause. Distance in simplex sample space. Covariance structure. Logistic normal and other distributions on the simplex. Log ratio analysis (alr, clr, ilr). Dimension reduction. Bases and compositions. Subcompositions and partitions. Zeros, rounding, measurement error. Compositions as covariates and mixtures. Integer compositions, multi-way compositions, compositional processes. Appendix A: R software for compositions. Appendix B: Bayesian analysis for compositional data.
