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

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

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