Transcription of Fitting Linear Mixed-Effects Models using lme4
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Fitting Linear Mixed-Effects Models using lme4
Fitting Linear Mixed-Effects Models using lme4 Douglas BatesUniversity of Wisconsin-MadisonMartin M chlerETH ZurichBenjamin M. BolkerMcMaster UniversitySteven C. WalkerMcMaster UniversityAbstractMaximum likelihood or restricted maximum likelihood (REML) estimates of the pa-rameters in Linear Mixed-Effects Models can be determined using thelmerfunction in thelme4package forR. As for most model- Fitting functions inR, the model is described inanlmercall by a formula, in this case including both fixed- and random-effects formula and data together determine a numerical representation of the model fromwhich the profiled deviance or the profiled REML criterion can be evaluated as a functionof some of the model parameters.
Douglas Bates, Martin Mächler, Ben Bolker, Steve Walker 3 In a linear mixed model it is the conditional distribution of Y given B = b that has such a form, (Y|B = b) ∼ N(Xβ +Zb+o,σ2W−1), (2) where Z is the n×q model matrix for the q-dimensional vector-valued random-effects variable, B, whose value we are fixing at b.The unconditional distribution of B is also multivariate
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