Collocations for supervision - noun

careful, close, intensive, strict
adequate, effective, proper
inadequate
constant, day-to-day, regular
minimal
direct
New employees are trained to work without direct supervision.

general, overall
international
The elections will be held under international supervision.

adult, clinical, expert, medical, parental, personal
court, federal, judicial
He's now under court supervision.
the federal supervision of state elections

need, require
get, have, receive
exercise, give sb, offer (sb), provide (sb with)
The facilities offer only minimal supervision for young offenders.

be responsible for
The head porter is responsible for the supervision and allocation of duties.

keep sb/sth under
He needs to be kept under strict supervision.

improve, tighten, tighten up

order (BrE)
The local authority can apply for a supervision order for the child.

under (sb's) supervision
under the close supervision of her teachers

with supervision, without supervision
Children are not allowed to swim without adequate supervision.

supervision by
They still require supervision by colleagues.

supervision from
Trainees will receive personal supervision from experienced staff.

a lack of supervision