Hi,

The fact that the results depend on the type of residuals you use sugest to
me that the procedure is not trustworthy - I'm not aware of any paper
investiating the properties of this approach. This also suggests that a
statistical reviewer worth his/her salt would call you out on using
something so completely ad-hoc.
I'd go with a parametric bootstrap test of the variance component or the
profiling approach that is implemented in lme4a.

Fabian Scheipl
(author of RLRsim)

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