Albert Barnes Commentary 1 Samuel 16:13

"Then Samuel took the horn of oil, and anointed him in the midst of his brethren: and the Spirit of Jehovah came mightily upon David from that day forward. So Samuel rose up, and went to Ramah." — 1 Samuel 16:13 (ASV)

The Spirit ... came upon David - This is the exact phrase used for the Judges and Saul. See 1 Samuel 10:6, note; Judges 3:10, note; Judges 6:34, note; Judges 11:29, note; Judges 14:18, note; and Judges 15:14, note.