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**Discrete multivariate analysis. Theory and practice. With the collaboration of Richard J. Light and Frederick Mosteller.
Reprint of the 1975 edition.**
*(English)*
Zbl 1131.62043

Berlin: Springer (ISBN 978-0-387-72805-6/pbk). ix, 558 p. (2007).

The book deals with discrete multivariate analysis in an effort to bring together in an organised way the extensive theory and practice existing in this field. It is organised in 14 chapters. Chapter 1 provides an introduction to the book, while chapters 2 to 9 introduce the log-linear model, present the statistical theory underlying its use in the analysis of contingency-table data, and illustrate the application of the theory to a wide variety of substantive problems. Chapters 10 to 12 then deal with other approaches and methods that do not rely directly on the log-linear model. Finally, chapters 13 and 14 contain the basic statistical results and the theory that is used throughout the book.

Applications and examples play a central role in most of the book chapters illustrating calculations, presenting alternative analyses, and discussing the conclusions that may be drawn for various data sets. Given the above outline, the book is well addressed to readers from different background and different interests covering a wide range from graduate students in theoretical statistics to quantitative biological or social scientists, applied statisticians and other quantitative research workers looking for comprehensive analyses of discrete multivariate data.

Applications and examples play a central role in most of the book chapters illustrating calculations, presenting alternative analyses, and discussing the conclusions that may be drawn for various data sets. Given the above outline, the book is well addressed to readers from different background and different interests covering a wide range from graduate students in theoretical statistics to quantitative biological or social scientists, applied statisticians and other quantitative research workers looking for comprehensive analyses of discrete multivariate data.

Reviewer: Christina Diakaki (Chania)

### MSC:

62Hxx | Multivariate analysis |

62-01 | Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics |

62H10 | Multivariate distribution of statistics |

62H15 | Hypothesis testing in multivariate analysis |

62H12 | Estimation in multivariate analysis |

62H17 | Contingency tables |

62F12 | Asymptotic properties of parametric estimators |

62F15 | Bayesian inference |

62P99 | Applications of statistics |