Here are some good reads on the subject…
https://www.another71.com/cpa-exam-forum/topic/aud-compilation
https://www.aicpa.org/InterestAreas/PrivateCompaniesPracticeSection/QualityServicesDelivery/KeepingUp/DownloadableDocuments/Brochure%20Customizable-%20Difference%20between%20Comp%20ReviewAudit.pdf
I'd like to research a little bit of what is stated in the A71 post, but it sounds correct.
Compilations – prospective financial statements – attestation engagement – SSAE
Compilations – historical financial statements – attestation engagement – SSARS
Compilations, unlike other attestation engagements, does not require independence but a lack of independence should be disclosed when performing compilation services.
Let me know if I've interpreted this wrong.
Additionally, is it correct that compilation services are prohibited for public companies (issuers)? Or am I making this up?