unequal variance assumption for lme (mixed effect model)
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shirley zhang wrote:
Hi Simon, Thanks for your reply. Your reply reminds me that book. I've read it long time ago, but haven't try the weights option in my projects yet:) Is the heteroscedastic test always less powerful because we have to estimate the within group variance from the given data?
SG: In general, I suspect we generally lose power when we estimate more parameters. SG: You can check this using the 'simulate.lme' function, whose use is illustrated in the seminal work reported in sect. 2.4 of Pinheiro and Bates (2000) Mixed-Effects Models in S and S-Plus (Springer).
Should we check whether each group has equal variance before using weights=varIdent()? If we should, what is the function for linear mixed model?
SG: The general advice I've seen is to avoid excessive
overparameterization of heterscedasticity and correlations. However,
parsimonious correlation had heterscedasticity models would likely be
wise. Years ago, George Box expressed concern about people worrying too
much about outliers, which are often fairly obvious and relatively easy
to detect, while they worried too little, he thought, about dependence,
especially serial dependence, which is generally more difficult to
detect and creates bigger problems in inference than outliers. He
wrote, "Why worry about mice when there are tigers about?"
SG: Issues of this type can be fairly easily evaluated using
'simulate.lme'.
Hope this helps.
Spencer Graves
Thanks, Shirley On 6/27/07, Simon Blomberg <s.blomberg1 at uq.edu.au> wrote:
The default settings for lme do assume equal variances within groups.
You can change that by using the various varClasses. see ?varClasses. A
simple example would be to allow unequal variances across groups. So if
your call to lme was:
lme(...,random=~1|group,...)
then to allow each group to have its own variance, use:
lme(...,random=~1|group, weights=varIdent(form=~1|group),...)
You really really should read Pinheiro & Bates (2000). It's all there.
HTH,
Simon.
, On Wed, 2007-06-27 at 21:55 -0400, shirley zhang wrote:
Dear Douglas and R-help, Does lme assume normal distribution AND equal variance among groups like anova() does? If it does, is there any method like unequal variance T-test (Welch T) in lme when each group has unequal variance in my data? Thanks, Shirley
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