Thank you
 

Subject: [NMusers] please unsubscibe
Date: Tue, 31 May 2011 16:19:45 -0400
From: [email protected]
To: 








Thank you,
Rob
 

 
 




From: [email protected] [mailto:[email protected]] On 
Behalf Of Eleveld, DJ
Sent: Tuesday, May 31, 2011 2:48 PM
To: ???; [email protected]
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: [email protected] on behalf of ???
Sent: Tue 5/31/2011 4:33 PM
To: [email protected]
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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