Generalized linear mixed models: a review and some extensions

DOI10.1007/s10985-007-9065-xzbMath1331.62361OpenAlexW2000767414WikidataQ37000464 ScholiaQ37000464MaRDI QIDQ636149

C. B. Dean, Jason D. Nielsen

Publication date: 25 August 2011

Published in: Lifetime Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10985-007-9065-x

zbMATH Keywords

random effectslongitudinal data analysisgeneralized linear mixed modelpenalized quasi-likelihood

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10) Generalized linear models (logistic models) (62J12) Linear inference, regression (62J99) Research exposition (monographs, survey articles) pertaining to statistics (62-02)

Related Items (5)

Competing regression models for longitudinal data ⋮ An R² statistic for fixed effects in the generalized linear mixed model ⋮ Flexible regression models for counts with high-inflation of zeros ⋮ An alternate approach to pseudo-likelihood model selection in the generalized linear mixed modeling framework ⋮ General mixed Poisson regression models with varying dispersion

Uses Software

• R
• S-PLUS
• MASS (R)
• lme4
• SAS
• mgcv
• MEMSS
• glimmix

Cites Work

• Longitudinal data analysis using generalized linear models
• Statistical properties of the generalized inverse Gaussian distribution
• A diagnostic test for the mixing distribution in a generalised linear mixed model
• An extended quasi-likelihood function
• Negative binomial and mixed poisson regression
• Residuals in Generalized Linear Models
• Variance Function Estimation
• Newton-Raphson and EM Algorithms for Linear Mixed-Effects Models for Repeated-Measures Data
• Approximate marginal densities of nonlinear functions
• Zero-Inflated Poisson Regression, with an Application to Defects in Manufacturing
• Maximum Likelihood Approaches to Variance Component Estimation and to Related Problems
• Consistent Estimators in Generalized Linear Mixed Models
• Inference in Generalized Additive Mixed Models by Using Smoothing Splines
• Analysis of interval-grouped recurrent-event data using piecewise constant rate functions
• Testing Goodness of Fit for a Parametric Family of Link Functions
• Linear Mixed Models with Heterogeneous within-Cluster Variances
• Bias Correction in Generalized Linear Mixed Models With Multiple Components of Dispersion
• Maximum Likelihood Algorithms for Generalized Linear Mixed Models
• Efficiency Lost By Analyzing Counts Rather Than Event Times in Poisson and Overdispersed Poisson Regression Models
• A serially correlated gamma frailty model for longitudinal count data
• Conditional Second-Order Generalized Estimating Equations for Generalized Linear and Nonlinear Mixed-Effects Models
• Mixed-Effects Models in S and S-PLUS
• Mixtures of marginal models
• Approximate Inference in Generalized Linear Mixed Models
• A mixed poisson–inverse‐gaussian regression model
• Bias correction in generalised linear mixed models with a single component of dispersion
• A Simulation‐based Goodness‐of‐fit Test for Random Effects in Generalized Linear Mixed Models
• A Monte Carlo EM algorithm for generalized linear mixed models with flexible random effects distribution
• Maximization by Parts in Likelihood Inference
• Maximum Likelihood Estimation of Misspecified Models
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