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st: multilevel logistic and reml


From   <[email protected]>
To   <[email protected]>
Subject   st: multilevel logistic and reml
Date   Tue, 12 Nov 2013 09:42:09 +0000

Short answer: it's not possible to use REML to estimate fixed effect parameters of a multilevel logistic regression using Stata, as far as I know. Look at the documentation for -xtmelogit- in Stata 12, and  -meqrlogit- and -melogit- in Stata 13.

The bigger question is why you should want to do this. REML is typically employed for linear mixed models. With -xtmixed- in Stata 12 or -mixed- in Stata 13, REML is an option.

Otherwise adaptive quadrature is the default estimation procedure. And with good reason in the multilevel logistic regression case -- alternative estimators such as PQL perform worse. (MCMC may do better, but it's not built into Stata ... though you can use -runmlwin- on SSC to try this estimator.)

For some discussion of estimators of multilevel logistic regression models, see 
http://www.stata.com/meeting/uk13/abstracts/materials/uk13_jenkins.pdf
[The emphasis of the talk is slightly different, but there are some relevant citations.]

"Schall (1991)" is unhelpful. As the Statalist FAQ states, provide full references please.


Stephen
------------------
Stephen P. Jenkins <[email protected]>
------------------------------

Date: Tue, 12 Nov 2013 07:22:43 +0000
From: Garry Anderson <[email protected]>
Subject: st: multilevel logistic and reml

Dear Statalist,

Is it possible to use the reml method to estimate fixed effect parameters for a multilevel logistic regression?

Genstat 15th Ed. and SPSS 20th Ed. statistical software seem to use reml and I was wishing to replicate their estimates in Stata.
For the generalized linear mixed model with a binary outcome, Genstat cites Schall (1991) and SPSS gives the same parameter estimate as Genstat for my dataset.


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