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At last - a book devoted to the negative binomial model and its many variations. Every model currently offered in commercial statistical software packages is discussed in detail - how each is derived, how each resolves a distributional problem, and numerous examples of their application. Many have never before been thoroughly examined in a text on count response models: the canonical negative binomial; the NB-P model, where the negative binomial exponent is itself parameterized; and negative binomial mixed models. As the models address violations of the distributional assumptions of the basic Poisson model, identifying and handling overdispersion is a unifying theme. For practising researchers and statisticians who need to update their knowledge of Poisson and negative binomial models, the book provides a comprehensive overview of estimating methods and algorithms used to model counts, as well as specific guidelines on modeling strategy and how each model can be analyzed to access goodness-of-fit.Read more
- First book devoted entirely to the negative binomial model and all its varieties
- Every model currently offered in a commercial statistical software package is discussed in detail; data sets and additional code on a companion website
- Includes end of chapter review questions allowing readers to monitor their understanding of the material presented
Reviews & endorsements
"The test is well-written, easy-to-read but once started, is difficult to put down as each chapter unfolds the intracacies of the distribution."
C.M. O'Brien, International Statistical ReviewSee more reviews
"A good starting point for those who are not familiar with this topic... I would recommend this book to researchers and students who would like to gain an overview of the negative binomial distribution and its extensions."
Fiona McElduff, University College, London
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- Date Published: August 2007
- format: Hardback
- isbn: 9780521857727
- length: 264 pages
- dimensions: 234 x 158 x 18 mm
- weight: 0.55kg
- contains: 20 b/w illus.
- availability: Replaced by 9780521198158
Table of Contents
1. Overview of count response models
2. Methods of estimation
3. The Poisson model
5. Negative binomial regression: basics
6. Negative binomial regression: modeling
7. Alternative variance parameterizations
8. Problems with zero counts
9. Negative binomial with censoring, truncation, and sample selection
10. Negative binomial panel models
Appendix A: Negative binomial log-likelihood functions
Appendix B: Deviance functions
Appendix C: ML negative binomial Code
Appendix D: Negative binomial variance functions
Appendix E: Data sets
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