Adam Clarke on Amos 8:14

By the sin of Samaria - Baal, who was worshipped here.

Thy god, O Dan - The golden calf, or ox, the representative of the Egyptian god Apis, or Osiris.

The manner of Beer-sheba - The worship, or object of worship. Another of the golden calves which Jeroboam had set up there. The word דרך derech, way, is here taken for the object and mode of worship; see Act 19:9, where way is taken for the creed and form of Divine worship as practiced by the followers of Christ, and by which they were distinguished from the Jews. See also Act 9:2.