[R-sig-ME] Fwd: syntax equation of random intercepts and slopes model

[Ben Bolker]

That looks about right.  You didn't specify the variance of e_ij in
your description, and you didn't say explicitly that the u_ and e_
values are Normally distributed ...

On Thu, May 17, 2018 at 2:27 PM, Juan Pablo Edwards Molina
<edwardsmolina at gmail.com> wrote:
> Sorry, I edited the lmer function...
>
> ============================================
> Dear list,
>
> I fitted a linear mixed effects models to a set of 41 field trials
> with plot-level assessments of x,y, for estimating the linear
> regression coefficients β_0 and β_1
>
> res1 <- lmer(y ~ x+ (x|trial), data=mydata, REML=F)
>
> I wish to write the model equation for its publication, so this is my first try:
>
> W_ij= (β_0 + u_0i)+ (β_1+ u_1i) x_ij + e_ij
>
> where j subscript represents the j-plot within i-trial, both for y or
> x. β0 and β1 are the population average intercept and slope; u0i and
> u1i are the effect of the i-trial on the intercept and the slope,
> respectively, considered as random variables (with mean 0 and
> variances  τ_u0 and  τ_u1 a )
>
> I´m not sure if I´m in the right path... I would really appreciate any guidance.
>
> Juan Edwards
> National Institute of Agriculture Technology - Argentina
>
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