Thank you,

Rob

 

 

 

________________________________

From: owner-nmus...@globomaxnm.com [mailto:owner-nmus...@globomaxnm.com]
On Behalf Of Eleveld, DJ
Sent: Tuesday, May 31, 2011 2:48 PM
To: ???; nmusers@globomaxnm.com
Subject: RE: [NMusers] question about shinkage

 

Hi Li,

Well, do you have rich data and a small number of subjects?

How much shrinkage exactly? A very small negative number might just be
due to (hopefully) non-important numerical issues.  It could also be due
to early termination of the estimation, not doing enough iterations,
problems with rounding errors, etc.

The use of shrinkage to diagnose model problems isnt powerful enough to
try to solve a problem without knowing anything about the model or the
data. So, it depends on your problem.  What you usually encounter is
that high shrinkage means that a dataset is not informative enough to
estimate a paramater in the individuals. I would interpret negative
shrinkage as meaning that something went wrong with the estimation.  In
that case you cant trust the resulting estimations (or shrinkage for
that matter) to be meaningful anyway.

You might want to look a constructing likelihood profiles for you model
estimations as well.  I find they work nicely in conjuction with
considering shrinkage.

Douglas Eleveld


-----Original Message-----
From: owner-nmus...@globomaxnm.com on behalf of ???
Sent: Tue 5/31/2011 4:33 PM
To: nmusers@globomaxnm.com
Subject: [NMusers] question about shinkage

Hi dear all,

I have a question about shinkage. I read an article about shinkage
(Radojka
M. Savic and Mats O. Karlsson Importance of Shrinkage in Empirical Bayes
Estimates for Diagnostics: Problems and Solutions 2009) and try to use
shinkage to diagnose my model. An ETA-shinkage is negative in my result.
According to the article, negative shinkage may occur in the situation
where
a parameter variance is fixed to a lower value than the true value or in
rich data from a small number of subjects. I wonder that if the
parameter
variance is fixed, shinkage is 100% in my result. And if it is the data
problem, why is the shinkage of this kind of data negative? Besides, I
wonder that whether the negative shinkage indicate the model
misspecification? How important is shinkage to diagnose a model? Is it
more
used to evaluate the relationship between the covariate and parameters
or to
choose a model?

Thanks!
Li Mengyao

________________________________

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