Ben Bolker <bolker <at> zoo.ufl.edu> writes:
>   For block effects with small variance, lmer will sometimes
...
>   My question is: what should I suggest to students when this
> situation comes up?  Can anyone point me to appropriate references?
> (I haven't found anything relevant in Pinheiro and Bates, but
> I may not have looked in the right place ...)

Gelman has quite some similar examples. Take a look at his schools example in
the Bayesian book.

Gregor

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