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Generalized Linear Models

P. McCullagh and John A. Nelder
Publisher: 
Chapman & Hall/CRC
Publication Date: 
1989
Number of Pages: 
387
Format: 
Hardcover
Edition: 
2
Series: 
Monographs on Statistics and Applied Probability 37
Price: 
99.95
ISBN: 
978-0412317606
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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 Preface
Introduction
Background
The Origins of Generalized Linear Models
Scope of the Rest of the Book
An Outline of Generalized Linear Models
Processes in Model Fitting
The Components of a Generalized Linear Model
Measuring the goodness of Fit
Residuals
An Algorithm for Fitting Generalized Linear Models
Models for Continuous Data with Constant Variance
Introduction
Error Structure
Systematic Component (Linear Predictor)
Model Formulae for Linear Predictors
Aliasing
Estimation
Tables as Data
Algorithms for Least Squares
Selection of Covariates
Binary Data
Introduction
Binomial Distribution
Models for Binary Responses
Likelihood functions for Binary Data
Over-Dispersion
Example
Models for Polytomous Data
Introduction
Measurement scales
The Multinomical Distribution
Likelihood Functions
Over-Dispersion
Examples
Log-Linear Models
Introduction
Likelihood Functions
Examples
Log-Linear Models and Multinomial Response Models
Multiple responses
Example
Conditional Likelihoods
Introduction
Marginal and conditional Likelihoods
Hypergeometric Distributions
Some Applications Involving Binary data
Some Aplications Involving Polytomous Data
Models with Constant Coefficient of Variation
Introduction
The Gamma Distribution
Models with Gamma-distributed Observations
Examples
Quasi-Likelihood Functions
Introduction
Independent Observations
Dependent Observations
Optimal Estimating Functions
Optimality Criteria
Extended Quasi-Likelihood
Joint Modelling of Mean and Dispersion
Introduction
Model Specification
Interaction between Mean and Dispersion Effects
Extended Quasi-Likelihood as a Criterion
Adjustments of the Estimating Equations
Joint Optimum Estimating Equations
Example: The Production of Leaf-Springs for Trucks
Models with Additional Non-Linear Parameters
Introduction
Parameters in the Variance function
Parameters in the Link Function
Nonlinear Parameters in the Covariates
Examples
Model Checking
Introduction
Techniqes in Model Checking
Score Tests for Extra Parameters
Smoothing as an Aid to Informal Checks
The Raw Materials of Model Checking
Checks for systematic Departure from Model
Check for isolated Departures from the Model
Examples
A Strategy for Model Checking?
Models for Survival Data
Introduction
Proportional-Hazards Models
Estimation with a Specified Survival distribution
Example: Remission Times for Leukemia
Cox's Proportional-Hazards Model
Components of Dispersion
Introduction
Linear Models
Nonlinear Models
Parameter Estimation
Example: A Salamander mating Experiment
Further Topics
Introduction
Bias Adjustment
Computation of Bartlett Adjustments
Generalized Additive Models
Appendices
Elementary Likelihood Theory
Edgeworth Series
Likelihood-Ratio Statistics
References
Index of Data Sets
Author Index
Subject Index
Each chapter also contains Bibliographic Notes and Exercises