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Modeling Count Data

Modeling Count Data
Author: Joseph M. Hilbe
Publisher: Cambridge University Press
Total Pages: 301
Release: 2014-07-21
Genre: Business & Economics
ISBN: 1107028337

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"This entry-level text offers clear and concise guidelines on how to select, construct, interpret, and evaluate count data. Written for researchers with little or no background in advanced statistics, the book presents treatments of all major models using numerous tables, insets, and detailed modeling suggestions. It begins by demonstrating the fundamentals of linear regression and works up to an analysis of the Poisson and negative binomial models, and to the problem of overdispersion. Examples in Stata, R, and SAS code enable readers to adapt models for their own purposes, making the text an ideal resource for researchers working in public health, ecology, econometrics, transportation, and other related fields"--


Econometric Analysis of Count Data

Econometric Analysis of Count Data
Author: Rainer Winkelmann
Publisher: Springer Science & Business Media
Total Pages: 291
Release: 2013-06-29
Genre: Business & Economics
ISBN: 3662041499

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The primary objective of this book is to provide an introduction to the econometric modeling of count data for graduate students and researchers. It should serve anyone whose interest lies either in developing the field fur ther, or in applying existing methods to empirical questions. Much of the material included in this book is not specific to economics, or to quantita tive social sciences more generally, but rather extends to disciplines such as biometrics and technometrics. Applications are as diverse as the number of congressional budget vetoes, the number of children in a household, and the number of mechanical defects in a production line. The unifying theme is a focus on regression models in which a dependent count variable is modeled as a function of independent variables which mayor may not be counts as well. The modeling of count data has come of age. Inclusion of some of the fundamental models in basic textbooks, and implementation on standard computer software programs bear witness to that. Based on the standard Poisson regression model, numerous extensions and alternatives have been developed to address the common challenges faced in empirical modeling (unobserved heterogeneity, selectivity, endogeneity, measurement error, and dependent observations in the context of panel data or multivariate data, to name but a few) as well as the challenges that are specific to count data (e. g. , over dispersion and underdispersion).


Count Data Models

Count Data Models
Author: Rainer Winkelmann
Publisher: Springer Science & Business Media
Total Pages: 223
Release: 2013-11-11
Genre: Business & Economics
ISBN: 366221735X

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This book presents statistical methods for the analysis of events. The primary focus is on single equation cross section models. The book addresses both the methodology and the practice of the subject and it provides both a synthesis of a diverse body of literature that hitherto was available largely in pieces, as well as a contribution to the progress of the methodology, establishing several new results and introducing new models. Starting from the standard Poisson regression model as a benchmark, the causes, symptoms and consequences of misspecification are worked out. Both parametric and semi-parametric alternatives are discussed. While semi-parametric models allow for robust interference, parametric models can identify features of the underlying data generation process.


Regression Analysis of Count Data

Regression Analysis of Count Data
Author: Adrian Colin Cameron
Publisher: Cambridge University Press
Total Pages: 597
Release: 2013-05-27
Genre: Business & Economics
ISBN: 1107014166

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This book provides the most comprehensive and up-to-date account of regression methods to explain the frequency of events.


Econometric Analysis of Count Data

Econometric Analysis of Count Data
Author: Rainer Winkelmann
Publisher: Springer Science & Business Media
Total Pages: 316
Release: 2013-11-11
Genre: Business & Economics
ISBN: 3540247289

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Graduate students and researchers are provided with an up-to-date survey of statistical and econometric techniques for the analysis of count data, with a focus on conditional distribution models. Proper count data probability models allow for rich inferences, both with respect to the stochastic count process that generated the data, and with respect to predicting the distribution of outcomes. The book starts with a presentation of the benchmark Poisson regression model. Alternative models address unobserved heterogeneity, state dependence, selectivity, endogeneity, underreporting, and clustered sampling. Testing and estimation is discussed from frequentist and Bayesian perspectives. Finally, applications are reviewed in fields such as economics, marketing, sociology, demography, and health sciences. The fourth edition contains several new sections, for example on nonnested hurdle models, quantile regression and on software. Many other sections have been entirely rewritten and extended.


Statistical Methods for Overdispersed Count Data

Statistical Methods for Overdispersed Count Data
Author: Jean-Francois Dupuy
Publisher: Elsevier
Total Pages: 192
Release: 2018-11-19
Genre: Medical
ISBN: 008102374X

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Statistical Methods for Overdispersed Count Data provides a review of the most recent methods and models for such data, including a description of R functions and packages that allow their implementation. All methods are illustrated on datasets arising in the field of health economics. As several tools have been developed to tackle over-dispersed and zero-inflated data (such as adjustment methods and zero-inflated models), this book covers the topic in a comprehensive and interesting manner. Includes reading on several levels, including methodology and applications Presents the state-of-the-art on the most recent zero-inflated regression models Contains a single dataset that is used as a common thread for illustrating all methodologies Includes R code that allows the reader to apply methodologies


Regression Analysis of Count Data

Regression Analysis of Count Data
Author: A. Colin Cameron
Publisher: Cambridge University Press
Total Pages: 436
Release: 1998-09-28
Genre: Business & Economics
ISBN: 9780521635677

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This analysis provides a comprehensive account of models and methods to interpret frequency data.


Regression Models for Categorical and Limited Dependent Variables

Regression Models for Categorical and Limited Dependent Variables
Author: J. Scott Long
Publisher: SAGE
Total Pages: 334
Release: 1997-01-09
Genre: Mathematics
ISBN: 9780803973749

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Evaluates the most useful models for categorical and limited dependent variables (CLDVs), emphasizing the links among models and applying common methods of derivation, interpretation, and testing. The author also explains how models relate to linear regression models whenever possible. Annotation c.


International Encyclopedia of Statistical Science

International Encyclopedia of Statistical Science
Author: Miodrag Lovric
Publisher: Springer Science & Business Media
Total Pages: 0
Release: 2010-12-01
Genre: Mathematics
ISBN: 3642048978

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The goal of this book is multidimensional: a) to help reviving Statistics education in many parts in the world where it is in crisis. For the first time authors from many developing countries have an opportunity to write together with the most prominent world authorities. The editor has spent several years searching for the most reputable statisticians all over the world. International contributors are either presidents of the local statistical societies, or head of the Statistics department at the main university, or the most distinguished statisticians in their countries. b) to enable any non-statistician to obtain quick and yet comprehensive and highly understandable view on certain statistical term, method or application c) to enable all the researchers, managers and practicioners to refresh their knowledge in Statistics, especially in certain controversial fields. d) to revive interest in statistics among students, since they will see its usefulness and relevance in almost all branches of Science.


Negative Binomial Regression

Negative Binomial Regression
Author: Joseph M. Hilbe
Publisher: Cambridge University Press
Total Pages: 573
Release: 2011-03-17
Genre: Mathematics
ISBN: 1139500066

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This second edition of Hilbe's Negative Binomial Regression is a substantial enhancement to the popular first edition. The only text devoted entirely to the negative binomial model and its many variations, nearly every model discussed in the literature is addressed. The theoretical and distributional background of each model is discussed, together with examples of their construction, application, interpretation and evaluation. Complete Stata and R codes are provided throughout the text, with additional code (plus SAS), derivations and data provided on the book's website. Written for the practising researcher, the text begins with an examination of risk and rate ratios, and of the estimating algorithms used to model count data. The book then gives an in-depth analysis of Poisson regression and an evaluation of the meaning and nature of overdispersion, followed by a comprehensive analysis of the negative binomial distribution and of its parameterizations into various models for evaluating count data.