Lectures on Contingency Tables Electronic edition

Preface The present set of lecture notes are prepared for the course " Statistik 2 " at the University of Copenhagen. It is a revised version of notes prepared in connection with a series of lectures at the Swedish summerschool in Särö, June 11–17, 1979. The notes do by no means give a complete account of the theory of contingency tables. They are based on the idea that the graph theoretic methods in Darroch, Lauritzen and Speed (1978) can be used directly to develop this theory and, hopefully, with some pedagogical advantages. My thanks are due to the audience at the Swedish summerschool for patiently listening to the first version of these lectures, to Joseph Verducci, Stanford, who read the manuscript and suggested many improvements and corrections, and to Ursula Hansen, who typed the manuscript. The second edition is different from the first basically by the fact that a number of errors have been removed, certain simplifications have been achieved and some recent results about collapsibility have been included. In the third edition more errors have been corrected and other minor changes have been made. There has been some effort to bring the list of references up to date. Finally a section on other sampling schemes (Poisson models and sampling with one fixed marginal) has been added. This section is based upon notes by Inge Henningsen and I am grateful for her permission to include this material. Again Søren Asmussen and Søren Tolver Jensen have found errors and made many detailed suggestions for improvements in the presentation. Helle Andersen and Helle Westmark have helped transforming the typescript into a typeset document. Søren L. Buhl has given me very helpful comments on this manuscript. Thank you. The only essential changes from the third edition to this one is that some figures and tables have been redrawn and some changes have been made to the typesetting, to accomodate the electronic medium. Some references have also been updated.