I have a simple task that should have a simple solution.  My design is
(usually) a balanced nested design, say multiple days and reps within
day.  I want to estimate the total variance Days+within Day and get a
confidence interval.  Using lme I can get CIs on the individual
components but not on the total.  The textbook solution would to use
ANOVA estimates and Satterthwaite's approx of the degrees of freedom,
but I do have unbalanced designs sometimes so want to stick to REMLs.
The only way I see to do this in R is through simulation/bootstrapping.
Is there a problem with this approach? Anyone have any other solutions?
As always, thanks in advance.

Jeffrey D. Morris, Ph.D.
Sanofi Pasteur



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