I am running a mixed-effects model in R and I want to have random intercepts for two sampling levels, country and site. The variable site is perfectly nested within the level country. So, is it necessary to model a separate term for the random intercept of country, or will simply modeling the error for site be suitable?
I.e., would the model
lmer(outcome ~ predictor + (1|country) + (1|site))
have any benefit over the model
lmer(outcome ~ predictor + (1|site))
siteis nested withincountry, then the correct specification of the random effects would be:(1|country/site). For more information, see here. Your current specification is for crossed random effects. – COOLSerdash May 17 '18 at 07:14