Fitting Linear Mixed-Effects Models Using lme4
- D. Bates, M. Machler, B. Bolker, S. Walker
- Mathematics
- 23 June 2014
Maximum likelihood or restricted maximum likelihood (REML) estimates of the parameters in linear mixed-effects models can be determined using the lmer function in the lme4 package for R. As for most…
Bioconductor: open software development for computational biology and bioinformatics
- R. Gentleman, V. Carey, Jianhua Zhang
- BiologyGenome Biology
- 15 September 2004
Details of the aims and methods of Bioconductor, the collaborative creation of extensible software for computational biology and bioinformatics, and current challenges are described.
Mixed-Effects Models in S and S-PLUS
- Josae C. Pinheiro, D. Bates
- Mathematics
- 1 February 2001
Linear Mixed-Effects * Theory and Computational Methods for LME Models * Structure of Grouped Data * Fitting LME Models * Extending the Basic LME Model * Nonlinear Mixed-Effects * Theory and…
Linear Mixed-Effects Models using 'Eigen' and S4
- D. Bates, M. Maechler, B. Bolker, S. Walker
- Mathematics
- 6 October 2015
The core computational algorithms are implemented using the Eigen C++ library for numerical linear algebra and RcppEigen``glue''.
Mixed-effects modeling with crossed random effects for subjects and items
- R. Baayen, D. Davidson, D. Bates
- Psychology
- 1 November 2008
Nonlinear Regression Analysis and Its Applications
- D. Bates, D. G. Watts
- Computer Science
- 1 August 1988
This book offers a balanced presentation of the theoretical, practical, and computational aspects of nonlinear regression and provides background material on linear regression, including the geometrical development for linear and nonlinear least squares.
Nonlinear mixed effects models for repeated measures data.
- M. Lindstrom, D. Bates
- MathematicsBiometrics
- 1 September 1990
A general, nonlinear mixed effects model for repeated measures data and define estimators for its parameters are proposed and Newton-Raphson estimation is implemented using previously developed computational methods for nonlinear fixed effects models and for linear mixed effects models.
Approximations to the Log-Likelihood Function in the Nonlinear Mixed-Effects Model
- J. Pinheiro, D. Bates
- Mathematics
- 1 March 1995
Abstract Nonlinear mixed-effects models have received a great deal of attention in the statistical literature in recent years because of the flexibility they offer in handling the unbalanced…
fitting linear mixed effects models using lme 4 arxiv
Maximum likelihood or restricted maximum likelihood (REML) estimates of the parameters in linear mixed-effects models can be determined using the lmer function in the lme4 package for R. As for most…
Relative Curvature Measures of Nonlinearity
- D. Bates, D. G. Watts
- Mathematics
- 1 September 1980
Simple relative curvature measures of nonlinearity are developed to measure the extent of the nonlinearity in a model-experimental design-parameterization combi nation. We review the geometric…
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