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The Resource Generalized linear models for bounded and limited quantitative variables, Michael Smithson, Yiyun Shou

Generalized linear models for bounded and limited quantitative variables, Michael Smithson, Yiyun Shou

Label
Generalized linear models for bounded and limited quantitative variables
Title
Generalized linear models for bounded and limited quantitative variables
Statement of responsibility
Michael Smithson, Yiyun Shou
Creator
Contributor
Author
Subject
Language
eng
Summary
"This book introduces researchers and students to the concepts and generalized linear models for analyzing quantitative random variables that have one or more bounds. Examples of bounded variables include the percentage of a population eligible to vote (bounded from 0 to 100), or reaction time in milliseconds (bounded below by 0). The human sciences deal in many variables that are bounded. Ignoring bounds can result in misestimation and improper statistical inference. Michael Smithson and Yiyun Shou's book brings together material on the analysis of limited and bounded variables that is scattered across the literature in several disciplines, and presents it in a style that is both more accessible and up-to-date. The authors provide worked examples in each chapter using real datasets from a variety of disciplines. The software used for the examples include R, SAS, and Stata. The data, software code, and detailed explanations of the example models are available on an accompanying website at www.sagepub.com/smithsonshou"--
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Smithson, Michael
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
Shou, Yiyun
Series statement
Quantitative applications in the social sciences
Series volume
181
http://library.link/vocab/subjectName
  • Linear models (Statistics)
  • Random variables
  • Functions of bounded variation
  • Quantitative research
Label
Generalized linear models for bounded and limited quantitative variables, Michael Smithson, Yiyun Shou
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 105-109) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction and overview. Overview of this book ; The nature of bounds on variables ; The generalized linear model ; Examples -- Models for singly bounded variables. GLMs for singly bounded variables ; Model diagnostics ; Treatment of boundary cases -- Models for doubly bounded variables. Doubly bounded variables and "natural" heteroscedasticity ; The beta distribution : definition and properties ; Modeling location and dispersion ; Estimation and model diagnostics ; Treatment of cases at the boundaries -- Quantile models for bounded variables. Introduction ; Quantile regression ; Distributions for doubly bounded variables with explicit quantile functions ; The CDF-quantile GLM -- Censored and truncated variables. Types of censoring and truncation ; Tobit models ; Tobit model example ; Heteroscedastic and non-gaussian tobit models -- Extensions and conclusions. Extensions and a general framework ; Absolute bounds and censoring ; Multilevel and multivariate models ; Bayesian estimation and modeling ; Roads less traveled and the state of the art
Control code
on1126346947
Dimensions
22 cm.
Extent
xiii, 117 pages
Isbn
9781544334530
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)1126346947
Label
Generalized linear models for bounded and limited quantitative variables, Michael Smithson, Yiyun Shou
Publication
Bibliography note
Includes bibliographical references (pages 105-109) and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Introduction and overview. Overview of this book ; The nature of bounds on variables ; The generalized linear model ; Examples -- Models for singly bounded variables. GLMs for singly bounded variables ; Model diagnostics ; Treatment of boundary cases -- Models for doubly bounded variables. Doubly bounded variables and "natural" heteroscedasticity ; The beta distribution : definition and properties ; Modeling location and dispersion ; Estimation and model diagnostics ; Treatment of cases at the boundaries -- Quantile models for bounded variables. Introduction ; Quantile regression ; Distributions for doubly bounded variables with explicit quantile functions ; The CDF-quantile GLM -- Censored and truncated variables. Types of censoring and truncation ; Tobit models ; Tobit model example ; Heteroscedastic and non-gaussian tobit models -- Extensions and conclusions. Extensions and a general framework ; Absolute bounds and censoring ; Multilevel and multivariate models ; Bayesian estimation and modeling ; Roads less traveled and the state of the art
Control code
on1126346947
Dimensions
22 cm.
Extent
xiii, 117 pages
Isbn
9781544334530
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
Other physical details
illustrations
System control number
(OCoLC)1126346947

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