Name: Discrete Multivariate Analysis: Theory and Practice 2007th Edition
Author: Yvonne M. M. Bishop (Author), Stephen E. Fienberg (Author), Paul W. Holland (Author), R.J. Light (Contributor), F. Mosteller (Contributor)
ISBN: 9780387728056

Discrete Multivariate Analysis: Theory and Practice 2007th Edition book cover

Discrete Multivariate Analysis: Theory and Practice 2007th Edition

Author(s): Yvonne M. M. Bishop (Author), Stephen E. Fienberg (Author), Paul W. Holland (Author), R.J. Light (Contributor), F. Mosteller (Contributor)

Publisher: Springer
Publication Date: July 30, 2007
Edition: 2007th
Language: English
Print length: 568 pages
ISBN-10: 0387728058
ISBN-13: 9780387728056

Book Description

6. 2 The Two-Sample Capture-Recapture Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231 6. 3 Conditional Maximum Likelihood Estimation of N . . . . . . . . . . . . . . . . . . . . . . 236 6. 4 The Three-Sample Census . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237 6. 5 The General Multiple Recapture Problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 246 6. 6 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 254 7 MODELS FOR MEASURING CHANGE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 7. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 257 7. 2 First-Order Markov Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 261 7. 3 Higher-Order Markov Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 267 7. 4 Markov Models with a Single Sequence of Transitions . . . . . . . . . . . . . . . . . . 270 7. 5 Other Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 273 8 ANALYSIS OF SQUARE TABLES: SYMMETRY AND MARGINAL HOMOGENEITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 8. 1 Introduction . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 281 8. 2 Two-Dimensional Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 282 8. 3 Three-Dimensional Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 299 8. 4 Summary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309 9 MODEL SELECTION AND ASSESSING CLOSENESS OF FIT: PRACTICAL ASPECTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 9. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311 9. 2 Simplicity in Model Building . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 312 9. 3 Searching for Sampling Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315 9. 4 Fitting and Testing Using the Same Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 317 9. 5 Too Good a Fit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 324 9. 6 Large Sample Sizes and Chi Square When the Null Model is False . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 329 9. 7 Data Anomalies and Suppressing Parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 332 9. 8 Frequency of Frequencies Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 337 10 OTHER METHODS FOR ESTIMATION AND TESTING IN CROSS-CLASSIFICATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 10. 1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 343 10. 2 The Information-Theoretic Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 344 10. 3 Minimizing Chi Square, Modi? ed Chi Square, and Logit Chi Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 348 10. 4 The Logistic Model and How to Use It . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 357 10. 5 Testing via Partitioning of Chi Square . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361 10. 6 Exact Theory for Tests Based on Conditional Distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 364 10. 7 Analyses Based on Transformed Proportions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Editorial Reviews

Review

From the reviews:

“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. … 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.” (Christina Diakaki, Zentralblatt MATH, Vol. 1131 (9), 2008)

From the Back Cover

“At last, after a decade of mounting interest in log-linear and related models for the analysis of discrete multivariate data, particularly in the form of multidimensional tables, we now have a comprehensive text and general reference on the subject. Even a mediocre attempt to organize the extensive and widely scattered literature on discrete multivariate analysis would be welcome; happily, this is an excellent such effort, but a group of Harvard statisticians taht has contributed much to the field. Their book ought to serve as a basic guide to the analysis of quantitative data for years to come.” –James R. Beninger, Contemporary Sociology

“A welcome addition to multivariate analysis. The discussion is lucid and very leisurely, excellently illustrated with applications drawn from a wide variety of fields. A good part of the book can be understood without very specialized statistical knowledge. It is a most welcome contribution to an interesting and lively subject.” –D.R. Cox, Nature

“Discrete Multivariate Analysis is an ambitious attempt to present log-linear models to a broad audience. Exposition is quite discursive, and the mathematical level, except in Chapters 12 and 14, is very elementary. To illustrate possible applications, some 60 different sets of data have been gathered together from diverse fields. To aid the reader, an index of these examples has been provided. …the book contains a wealth of material on important topics. Its numerous examples are especially valuable.” –Shelby J. Haberman, The Annals of Statistics

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Discrete Multivariate Analysis: Theory and Practice 2007th Edition

Book Description

Editorial Reviews

Review

From the Back Cover

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