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Message-ID: <4DF8983B.6070207@otter-rsch.com>
Date: 2011-06-15T11:32:11Z
From: dave fournier
Subject: Question regarding glmer-function of R-package lme4
In-Reply-To: <BANLkTinoXrC=8YugKgAY6=kJfTS-GL0Qpg@mail.gmail.com>

Operationally it is a fairly simple process to "integrate out"
any fixed effect parameters via the Laplace approximation in  nonlinear
mixed models using AD Model Builder.  This could be used to
provide a general "REML like" estimation procedure. These ideas
are not new,  See

Title: Integrated likelihood methods for eliminating nuisance parameters
Author(s): Berger JO, Liseo B, Wolpert RL
Source: STATISTICAL SCIENCE   Volume: 14   Issue: 1   Pages: 1-22
Published: FEB 1999

Of course how well a particular approach works in practice could
be investigated via simulation.