Research Catalog

Title

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

Author

Smithson, Michael

Publication

Thousand Oaks, California : SAGE, [2020]

Items in the Library & Off-site

Details

Additional Authors

Shou, Yiyun

Description

xiii, 117 pages : illustrations; 22 cm.

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"--

Series Statement

Quantitative applications in the social sciences ; 181

Uniform Title

Quantitative applications in the social sciences ; no. 181.

Subject

• Linear models (Statistics)
• Random variables
• Functions of bounded variation
• Quantitative research

Bibliography (note)

• Includes bibliographical references (pages 105-109) and index.

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.

Call Number

JFD 20-3008

ISBN

• 9781544334530
• 1544334532
• 9781544334516 (canceled/invalid)
• 9781544334523 (canceled/invalid)
• 9781544334547 (canceled/invalid)

LCCN

2019028200

OCLC

1126346947

Author

Smithson, Michael, author.

Title

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

Publisher

Thousand Oaks, California : SAGE, [2020]

Type of Content

text

Type of Medium

unmediated

Type of Carrier

volume

Series

Quantitative applications in the social sciences ; 181

Quantitative applications in the social sciences ; no. 181.

Bibliography

Includes bibliographical references (pages 105-109) and index.

Added Author

Shou, Yiyun, author.

Research Call Number

JFD 20-3008