Fitting Linear Mixed-Effects Models Using lme4
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Cites methods from "Fitting Linear Mixed-Effects Models..."
..., formula syntax) on the lme4 package — one of the most widely used R packages for fitting GLMMs (Bates et al., 2015)....
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...We based glmmTMB’s interface (e.g., formula syntax) on the lme4 package — one of the most widely used R packages for fitting GLMMs (Bates et al., 2015)....
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4,353 citations
Cites methods from "Fitting Linear Mixed-Effects Models..."
...These are lme4 (Bates et al. 2015) and MCMCglmm (HadĄeld 2010), which are possibly the most general and widely applied R packages for MLMs, as well as rstanarm (Gabry and Goodrich 2016) and rethinking (McElreath 2016), which are both based on Stan....
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References
647 citations
"Fitting Linear Mixed-Effects Models..." refers background or methods in this paper
..., Efron and Morris (1977)), or account for lack of independence in the residuals due to block structure or repeated measurements (e....
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..., Henderson (1982); Gelman (2005))....
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...For example, the random-effects implementation of such interactions can be used to obtain shrinkage estimates of regression coefficients (e.g., Efron and Morris 1977), or account for lack of independence in the residuals due to block structure or repeated measurements (e.g., Laird and Ware 1982)....
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610 citations
"Fitting Linear Mixed-Effects Models..." refers background in this paper
...Much has been written about important practical and philosophical differences between these two types of interactions (e.g., Henderson Jr. 1982; Gelman 2005)....
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559 citations
"Fitting Linear Mixed-Effects Models..." refers methods in this paper
...(66) The trace of the hat matrix is often used as a measure of the effective degrees of freedom (e.g., Vaida and Blanchard 2005)....
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..., Vaida and Blanchard (2005))....
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533 citations
457 citations
"Fitting Linear Mixed-Effects Models..." refers methods in this paper
...…(Pinheiro et al. 2014), which goes to some lengths to use an unconstrained variance-covariance parameterization (the log-Cholesky parameterization; Pinheiro and Bates 1996), we instead use the Cholesky parameterization but require the elements of θ corresponding to the diagonal elements of the…...
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...which goes to some lengths to use an unconstrained variance-covariance parameterization (the log-Cholesky parameterization; Pinheiro and Bates 1996), we instead use the Cholesky parameterization but require the elements of θ corresponding to the diagonal elements of the Cholesky factor to be non-negative....
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