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[R-meta] Inner|outer model vs multiple random id terms in rma.mv

Yes, negative rho means negative correlation (rho is the correlation between random effects that have the same level of the 'outer' variable).

I don't know what you mean with "more applicable". The '~1| inner , ~1|outer' formulation implicitly assumes that the correlation is >= 0. If this is what you would like to assume, then you can use this formulation.

Best,
Wolfgang