Beth-aven
Easton's Dictionary
House of nothingness; i.e., “of idols”, a place in the mountains of Benjamin, east of Bethel (Josh. 7:2; 18:12; 1 Sam. 13:5). In Hos. 4:15; 5:8; 10:5 it stands for “Bethel” (q.v.), and it is so called because it was no longer the “house of God,” but “the house of idols,” referring to the calves there worshipped.
International Standard Bible Encyclopedia
beth-a'-ven (beth 'awen; Baithon, Baithaun): A place on the northern boundary of the territory of Benjamin (Jos 18:12) East of Bethel, near Ai (Jos 7:2), West of Michmash (1Sa 13:5; 14:23). Beth-aven, "house of vanity," i.e. "idolatry," may possibly represent an original beth-'on, "house of wealth." Wilson (PEFS, 1869, 126) suggests Khirbet An, West of Michmash. The name is used in mockery for Bethel by Hosea (4:15; 10:5,8, etc.; compare Am 5:5).