Computers fundamentally changed the methods used by social scientists during the past decades. It is no exaggeration to state that the wide use and growing user-friendliness of computers and statistical analysis systems helped empirical social research as a subdiscipline to become mainstream. This made a new subdiscipline necessary which is mainly working on adapting and applying computer science methods for social research: social science informatics. This book originated from lecture courses given by the authors from the mid-1980s and developed for computer science students with a minor in social science. Unlike many other introductions to univariate and multivariate data analysis, this book is addressed to advanced scholars and students who apply "classical" statistical methods and who want to get an overview of the mathematical foundations of the methods they apply and who want to avoid the pitfalls of cookbook-like introduction when they interpret their results. The electronic document is a slightly revised version of the printed version of 1994 which has been out of stock for many years.