[R] Linear model vs Mixed model

Thierry Onkelinx thierry.onkelinx at inbo.be
Tue Jul 12 15:45:39 CEST 2016


The parametrisation is different.

The intercept in model 1 is the effect of the "average" subject at days ==
0.
The intercept in model 2 is the effect of the first subject at days == 0.

ir. Thierry Onkelinx
Instituut voor natuur- en bosonderzoek / Research Institute for Nature and
Forest
team Biometrie & Kwaliteitszorg / team Biometrics & Quality Assurance
Kliniekstraat 25
1070 Anderlecht
Belgium

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2016-07-12 15:35 GMT+02:00 Utkarsh Singhal <utkarsh.iit op gmail.com>:

> Hi experts,
>
> While the slope is coming out to be identical in the two methods below, the
> intercepts are not. As far as I understand, both are formulations are
> identical in the sense that these are asking for a slope corresponding to
> 'Days' and a separate intercept term for each Subject.
>
> # Model-1
> library(lmer)
> coef(lmer(Reaction ~ Days + (1| Subject), sleepstudy))
>
> # Model-2
> coef(lm(Reaction ~ Days + Subject, sleepstudy))
>
> Can somebody tell me the reason? Are the above formulations actually
> different or is it due to different optimization method used?
>
> Thank you.
>
> Utkarsh Singhal
> 91.96508.54333
>
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>
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