Allow is related to Do. Do is a synonym of Party. Party is related to Loud. Loud is related to Sound. 
Private is related to House. House is the opposite of Homeless. 
Allow <--RelatedTo--> Do <--Synonym--> Party <--RelatedTo--> Loud <--RelatedTo--> Sound 
Private <--RelatedTo--> House <--Antonym--> Homeless 