This practical reference/text presents a complete introduction to the practice of data analysis - clarifying the geometrical language used, explaining the formulae, reviewing linear algebra and multidimensional Euclidean geometry, and including proofs of results. It is intended as either a self-study guide for professionals involved in experimental research, or as a text for graduate level courses in multidimensional statistics. The book features fully worked-out exercises, without the help of a computer, illustrating the constructions of correspondence analysis. It gives details of how to prepare, read and interpret computer results, including a complete FORTRAN program listing of the basic algorithms of factor analysis and classification. Sixteen case studies from medicine and biology, economics and the humanities, demonstrate a selection of data and interpretation of results. A foundation for agglomerative hierarchical clustering is provided.