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Distinction between nAGQ=0 and nAGQ=1 in glmer

Douglas Bates 
I received a question about the algorithm used in glmer with nAGQ=0.  I
find it is easiest to show the calculations through an example, which I
wrote up as a Jupyter (https://jupyter.org) notebook nAGQ.ipynb in the
github repository

https://github.com/dmbates/MixedModelsinJulia/

As the name of the repository indicates, this uses the MixedModels package
for Julia but the methods are similar to those in glmer.