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generalized linear mixed models with a beta distribution

5 messages · Jeff Evans, Douglas Bates, dave fournier +1 more

#
Has there been any follow up to this question? I have found myself wondering
the same thing: How then does SAS fit a beta distributed GLMM? It also fits
the negative binomial distribution. 

Both of these would be useful in glmer/lmer if they aren't 'illegal' as
Brian suggested. Especially as SAS indicates a favorable delta BIC of over
1000 when I fit the beta to my data (could be the beginning of a great
song..) versus my original binomial fit.

Jeff Evans
Michigan State University
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On Thu, Feb 26, 2009 at 12:04 PM, Jeff Evans <evansj18 at msu.edu> wrote:
When SAS decides to open-source their code we'll be able to find out.
Definitions of generalized linear mixed models are not entirely
straightforward, at least for me.  I'm making some progress but, as
always, it is slower than one would like it to be.
#
Thanks for responding Doug. I'm sure SAS just hasn't gotten around to
releasing their code yet.

lme4 does have a leg up on GLIMMIX in other areas, though.
The latest SAS release (9.2) is now able to compute the Laplace
approximation of the likelihood, but it will only fit an overdispersion
parameter using pseudo-likelihoods which can't be used for model selection.
I'm not sure what lme4 is doing differently through the quasi-distributions
that allows this, but it's enormously useful.

Jeff

-----Original Message-----
From: dmbates at gmail.com [mailto:dmbates at gmail.com] On Behalf Of Douglas
Bates
Sent: Thursday, February 26, 2009 3:50 PM
To: Jeff Evans
Cc: r-help at r-project.org
Subject: Re: [R] generalized linear mixed models with a beta distribution
On Thu, Feb 26, 2009 at 12:04 PM, Jeff Evans <evansj18 at msu.edu> wrote:
wondering
fits
When SAS decides to open-source their code we'll be able to find out.
Definitions of generalized linear mixed models are not entirely
straightforward, at least for me.  I'm making some progress but, as
always, it is slower than one would like it to be.
#
Jeff Evans-5 wrote:
Sorry, but I wouldn't necessarily take comfort from this.  I must confess
that I can't keep the distinctions between marginal pseudo/quasi-likelihoods
in my head, but on what grounds are you confident that the number that
lme4 produces can be used for model selection? (I would guess that)
Some people would be happy using QAIC based on pseudo-likelihoods, some
people wouldn't
be happy with anything other than a true likelihood (or approximation
thereof).

  This discussion is probably better for r-sig-mixed-models ...

  Ben Bolker