You are here

PLEASE NOTE: Sage UK Distribution including UK Books Customer Services will be closed for a stocktake from 27th November to 29th November. This affects only book orders and queries from the UK. Any orders placed during this period; or queries emailed, will be dealt with as normal when service resumes on 2nd December. Thank you for your patience and we apologise for any inconvenience caused.

Disable VAT on Taiwan

Unfortunately, as of 1 January 2020 SAGE Ltd is no longer able to support sales of electronically supplied services to Taiwan customers that are not Taiwan VAT registered. We apologise for any inconvenience. For more information or to place a print-only order, please contact uk.customerservices@sagepub.co.uk.

An Introduction to Generalized Linear Models
Share

An Introduction to Generalized Linear Models

  • George H. Dunteman
  • Moon-Ho R. Ho - Department of Psychology, McGill University, Montreal, Quebec, Canada Division of Psychology, Nanyang Technological University, Singapore


November 2005 | 88 pages | SAGE Publications, Inc
Do you have data that is not normally distributed and don't know how to analyze it using generalized linear models (GLM)? Beginning with a discussion of fundamental statistical modeling concepts in a multiple regression framework, the authors extend these concepts toáGLM (including Poisson regression. logistic regression, and proportional hazards models) and demonstrate the similarity of various regression models to GLM. Each procedure is illustrated using real life data sets, and the computer instructions and results will be presented for each example. Throughout the book, there is an emphasis on link functions and error distribution and how the model specifications translate into likelihood functions that can, through maximum likelihood estimation be used to estimate the regression parameters and their associated standard errors. This book provides readers with basic modeling principles that are applicable to a wide variety of situations.Key Features:- Provides an accessible but thorough introduction to GLM, exponential family distribution, and maximum likelihood estimation- Includes discussion on checking model adequacy and description on how to use SAS to fit GLM- Describes the connection between survival analysis and GLMáThis book is an ideal text for social science researchers who do not have a strong statistical background, but would like to learn more advanced techniques having taken an introductory course covering regression analysis.
 
List of Figures and Tables
 
Series Editor’s Introduction
 
Acknowledgments
 
1. Generalized Linear Models
 
2. Some Basic Modeling Concepts
Categorical Independent Variables

 
Essential Components of Regression Modeling

 
 
3. Classical Multiple Regression Model
Assumptions and Modeling Approach

 
Results of Regression Analysis

 
Multiple Correlation

 
Testing Hypotheses

 
 
4. Fundamentals of Generalized Linear Modeling
Exponential Family of Distributions

 
Classical Normal Regression

 
Logistic Regression

 
Poisson Regression

 
Proportional Hazards Survival Model

 
 
5. Maximum Likelihood Estimation
 
6. Deviance and Goodness of Fit
Using Deviances to Test Statistical Hypotheses

 
Goodness of Fit

 
Assessing Goodness of Fit by Residual Analysis

 
 
7. Logistic Regression
Example of Logistic Regression

 
 
8. Poisson Regression
Example of Poisson Regression Model

 
 
9. Survival Analysis
Survival Time Distributions

 
Exponential Survival Model

 
Example of Exponential Survival Model

 
 
Conclusions
 
Appendix
 
References
 
Index
 
About the Authors

For instructors

Select a Purchasing Option

SAGE Research Methods is a research methods tool created to help researchers, faculty and students with their research projects. SAGE Research Methods links over 175,000 pages of SAGE’s renowned book, journal and reference content with truly advanced search and discovery tools. Researchers can explore methods concepts to help them design research projects, understand particular methods or identify a new method, conduct their research, and write up their findings. Since SAGE Research Methods focuses on methodology rather than disciplines, it can be used across the social sciences, health sciences, and more.

With SAGE Research Methods, researchers can explore their chosen method across the depth and breadth of content, expanding or refining their search as needed; read online, print, or email full-text content; utilize suggested related methods and links to related authors from SAGE Research Methods' robust library and unique features; and even share their own collections of content through Methods Lists. SAGE Research Methods contains content from over 720 books, dictionaries, encyclopedias, and handbooks, the entire “Little Green Book,” and "Little Blue Book” series, two Major Works collating a selection of journal articles, and specially commissioned videos.