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On 15-03-09 06:53 AM, mervat mohamed via R-sig-mixed-models wrote:
transcribing your equation into TeX format:

(y_{ij} - \bar y_{.j}) =
   \beta(x_{ij}-\bar x_{.j}) + e_{ij} - \bar e_{.j}

It's not really clear to me what you want to do.  It looks like
it *might* be a random_slope model.  In other words,

  y ~ x + (x|f)

where x is a continuous covariate and f is a grouping variable
(factor) gives

 y_{ij} = beta_0 + beta_1*x + (b_{0j} + b_{1j}*x)

Where b_{0j} is a group-level deviate from the intercept and b_{1j} is
a group-level deviation from the slope.

Is that translatable into your context?

Depending on how you want your results presented, van de Pol and
Wright 2009 might be useful:
http://www.myscience.eu/martijn/pdfs/vandePol%26Wright2009_AnimBeh.pdf

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