Generalized Linear Models & Generalized Estimating Equations 2013 (Statistical Associates Blue Book Series 26)
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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