[R-meta] Definition of random effect in meta-regression vs multilevel modeling

Hello List Members,

In ordinary multilevel modeling, the question of what is a random effect
often revolves around whether to call the right side (here intercepts) or
left side (a grouping variable) of `|` in the following: `~ 1 | id`.

Question: Do terms like "random slopes" (e.g., `~ factor(time) | studyID`)
and "random intercepts" (e.g., `~ 1 | studyID`) have the same meaning in
multilevel/multivariate meta-regression modeling as they do in ordinary
multilevel modeling?

Thanks,
Fred