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mixed model random interaction term log likelihood ratio test

1. The three levels of the vector DrugPair actually represent three
genotypes, which are some randomly chosen genotypes from a population of
many genotypes. That's why I thought it was justified as random effect. 
Does estimating them as random make sense then? 
2. Also could you please elaborate on your suggestion "=ran"?
3. Wouldn't (MatingPair|DrugPair) represent nesting rather than the
interaction as a random effect? I got (1|DrugPair:MatingPair) from the
following post:
https://stat.ethz.ch/pipermail/r-sig-mixed-models/2009q1/001966.html
You should probably send this sort of question to the 
r-sig-mixed-models mailing list ...

  You probably want (MatingPair|DrugPair) rather than
(1|DrugPair:MatingPair).   
Whether REML=FALSE or REML=TRUE depends what you want
to do next.
= ran
See above.
It is probably unwise to estimate DrugPair as a random effect if
it only has three levels.
http://r.789695.n4.nabble.com/mixed-model-random-interaction-term-log-likelihood-ratio-test-tp3448718p3448718.html
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