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GLMM (lme4) vs. glmmPQL output

"Dieter Menne" <dieter.menne at menne-biomed.de> writes:
I suspect that a small simulation study would be enlightening. Given
the experimental status of lme4, I wouldn't feel too sure that there
is agreement between theory and implementation. There might be a bug
there, or maybe all the other methods make essentially the same
(large) error. In either case, I'd certainly like to know the reason.