Presenting major advances in exploratory data analysis and robust regression methods not generally available, this book explains the techniques, relating them to classical methods. It covers the role of exploratory and robust techniques in the overall data-analytic enterprise. Also covered are new methods such as fitting by organized comparisons using the square combining table, resistant non-additive fits for two-way tables, identifying extreme cells in a sizable contingency table with probabilistic and exploratory approaches. The book features a chapter on using robust regression in less technical language than available elsewhere, and offers conceptual support for each technique.