Generalized Linear Models for Bounded and Limited Quantitative Variables: Quantitative Applications in the Social Sciences, cartea 181
Autor Michael Smithson, Yiyun Shouen Limba Engleză Paperback – 3 dec 2019
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Specificații
ISBN-10: 1544334532
Pagini: 136
Dimensiuni: 140 x 216 x 12 mm
Greutate: 0.16 kg
Ediția:1
Editura: SAGE Publications
Colecția Sage Publications, Inc
Seria Quantitative Applications in the Social Sciences
Locul publicării:Thousand Oaks, United States
Recenzii
The authors are leaders in the world-wide effort to extend and tailor the generalized linear model to variables that are bounded and not normally distributed. The discussion of models for data recorded as proportions is worth the price of admission.
Cuprins
Overview of this Book
The Nature of Bounds on Variables
The Generalized Linear Model
Examples
2. Models for Singly-Bounded Variables
GLMs for singly-bounded variables
Model Diagnostics
Treatment of Boundary Cases
3. Models for Doubly-Bounded Variables
Doubly-Bounded Variables and \Natural" Heteroskedasticity
The Beta Distribution: Definition and Properties
Modeling Location and Dispersion
Estimation and Model Diagnostics
Treatment of Cases at the Boundaries
4. Quantile Models for Bounded Variables
Introduction
Quantile regression
Distributions for Doubly-Bounded Variables with Explicit Quantile Functions
The CDF-Quantile GLM
5. Censored and Truncated Variables
Types of censoring and truncation
Tobit models
Tobit Model Example
Heteroskedastic and Non-Gaussian Tobit Models
6. Extensions and Conclusions
Extensions and a General Framework
Absolute Bounds and Censoring
Multi-Level and Multivariate Models
Bayesian Estimation and Modeling
Roads Less Traveled and the State of the Art
References
Notă biografică
Michael Smithson is a Professor in the Research School of Psychology at The Australian National University in Canberra, and received his PhD from the University of Oregon. He is the author of Confidence Intervals (2003), Statistics with Confidence (2000), Ignorance and Uncertainty (1989), and Fuzzy Set Analysis for the Behavioral and Social Sciences (1987), co-author of Fuzzy Set Theory: Applications in the Social Sciences (2006) and Generalized Linear Models for Categorical and Limited Dependent Variables (2014), and co-editor of Uncertainty and Risk: Multidisciplinary Perspectives (2008) and Resolving Social Dilemmas: Dynamic, Structural, and Intergroup Aspects (1999). His other publications include more than 170 refereed journal articles and book chapters. His primary research interests are in judgment and decision making under ignorance and uncertainty, statistical methods for the social sciences, and applications of fuzzy set theory to the social sciences.