Linear mixed effects models

AL Oberg, DW Mahoney - Topics in biostatistics, 2007 - Springer
Statistical models provide a framework in which to describe the biological process giving
rise to the data of interest. The construction of this model requires balancing adequate …

[PDF][PDF] Tutorial in biostatistics. Extending the simple linear regression model to account for correlated responses: an introduction to generalized estimating equations …

P Burton, L Gurrin, P Sly - Statistics in medicine, 1998 - academia.edu
Much of the research in epidemiology and clinical science is based upon longitudinal
designs which involve repeated measurements of a variable of interest in each of a series of …

Extending the simple linear regression model to account for correlated responses: an introduction to generalized estimating equations and multi‐level mixed …

P Burton, L Gurrin, P Sly - Statistics in medicine, 1998 - Wiley Online Library
Much of the research in epidemiology and clinical science is based upon longitudinal
designs which involve repeated measurements of a variable of interest in each of a series of …

Linear mixed-effects models: basic concepts and examples

JC Pinheiro, DM Bates - Mixed-effects models in S and S-Plus, 2000 - Springer
Many common statistical models can be expressed as linear models that incorporate both
fixed effects, which are parameters associated with an entire population or with certain …

A coefficient of determination (R2) for generalized linear mixed models

HP Piepho - Biometrical journal, 2019 - Wiley Online Library
Extensions of linear models are very commonly used in the analysis of biological data.
Whereas goodness of fit measures such as the coefficient of determination (R2) or the …

Analysis of covariance in the mixed model: higher-level, nonhomogeneous, and random regressions

CR Henderson Jr - Biometrics, 1982 - JSTOR
The model generally considered in analysis of covariance has all levels of classification
factors and interactions fixed, and also covariate regression coefficients fixed. Mixed models …

Applications of mixed-effects models in biostatistics

RD Gibbons, D Hedeker - Sankhyā: The Indian Journal of Statistics, Series …, 2000 - JSTOR
We present recent developments in mixed-effects models relevant to application in
biostatistics. The major focus is on application of mixed-effects models to analysis of …

A linear mixed-effects model with heterogeneity in the random-effects population

G Verbeke, E Lesaffre - Journal of the American Statistical …, 1996 - Taylor & Francis
This article investigates the impact of the normality assumption for random effects on their
estimates in the linear mixed-effects model. It shows that if the distribution of random effects …

Some general estimation methods for nonlinear mixed-effects model

M Davidian, DM Giltinan - Journal of Biopharmaceutical Statistics, 1993 - Taylor & Francis
A nonlinear mixed-effects model suitable for characterizing repeated measurement data is
described. The model allows dependence of random coefficients on covariate information …

An introduction to linear mixed-effects modeling in R

VA Brown - Advances in Methods and Practices in …, 2021 - journals.sagepub.com
This Tutorial serves as both an approachable theoretical introduction to mixed-effects
modeling and a practical introduction to how to implement mixed-effects models in R. The …