Vacuum and analyze for objects on physical stand by dbs

Hello Admins,

I have an environment with 1 primary and 2 physical stand by instances. We have manually analyzed/ vacuumed tables on
primarydb recently. Later when we checked analyze, vacuum on stand by dbs in pg_stat_user_tables it returns null. Will
vacuum/analyze do not replicate to stand by instances?? Do we have to run separately on all the Stand by instances?? 

Thanks,
Teja. J.