Description
Generalized Linear Models & Generalized Estimating Equations 2013 (Statistical Associates Blue Book Series 26)
GENERALIZED LINEAR MODELS & GENERALIZED ESTIMATING EQUATIONS 2013
An introductory, graduate-level illustrated tutorial on generalized linear models and generalized estimating equations usuing SPSS. SAS, and Stata. Covers linear regression, gamma regression, binary logistic regression, binary probit regression, Poisson regression, log-linear analysis, negative binomial regression, ordinal logistic regression, ordinal probit regression, complementary log-log regression, and other GZLM models. Also covers repeated measures linear regression, repeated measures binary logistic regression, and other GEE models.
Partial Table of Contents
Key Concepts and Terms12
Types of data distributions13
Types of link functions19
Types of estimation methods26
Statistical measures26
Goodness of fit statistics27
Likelihood ratio tests32
Deviance ratios (scaled deviance)33
Tests of model effects33
Parameter estimates34
Odds ratios36
Pseudo R-square and other effect size measures38
Contrast coefficients39
User interfaces for GZLM42
GZLM Models61
Linear regression62
Binary logistic regression91
Binary probit regression109
Complementary log-log (cloglog) models118
Ordinal logistic regression130
Ordinal probit regression142
Gamma regression149
Poisson regression170
Poisson count models, rate models, and loglinear models170
A negative binomial model as an alternative172
Negative binomial regression193
Mixture (Tweedie) models200
GENERALIZED ESTIMATING EQUATIONS (GEE)201
What is GEE?201
Assumptions of GEE203
Statistical packages and GEE205
Types of GEE model205
Subject and within-subject variables206
Unbalanced designs207
The assumed (working) correlation matrix207
Goodness of fit measures in GEE211
Data structure for GEE211
Data Examples212
Repeated measures linear regression using GEE212
Repeated measures binary logistic regression214
Residual analysis263
Variables available in GEE263
Variables available in GZLM but not GEE264
Assumptions265
Frequently Asked Questions267
Bibliography286
Pagecount: 292