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Missing values in lmer vs. HLM

By the way, most of us don't know the acronym FIML.  I have a suspicion
that it is one of the many "maximum likelihood" estimators defined in the
multilevel modeling literature.  To a statistician these expressions are
nonsensical.  Once you define the probability model there is only one
possible definition of likelihood and hence only one criterion for the
maximum likelihood estimators to optimize.  Creating a different criterion
and saying that the optimizers of this criterion are the "<whatever>
maximum likelihood" estimators is false advertising.

Having said all this I will admit that the original sin, the "REML"
criterion, was committed by statisticians.  In retrospect I wish that we
had not incorporated that criterion into the nlme and lme4 packages but, at
the time we wrote them, our work would have been dismissed as wrong if our
answers did not agree with SAS PROC MIXED, etc.  So we opted for
bug-for-bug compatibility with existing software.
On Sat, Jul 4, 2015 at 11:09 AM Douglas Bates <bates at stat.wisc.edu> wrote: