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

[Juan Pablo Edwards Molina]

Thanks prof. Bolker,
Do you mean this?

u_i∼N(0,τ^2)      e_ij∼N(0,v_i)

Juan
Juan


2018-05-17 16:57 GMT-03:00 Ben Bolker <bbolker at gmail.com>:
> 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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