Chelf compiled 229 aerial yards on 11-of-21 efficiency. Anderson made four grabs in all for 174 yards.
J.W. Walsh relieved Chelf in the second half and kept the offensive assault going, passing for a touchdown and running for another as Oklahoma State (7-3, 5-2 Big 12) bested the Red Raiders for a fourth straight meeting.
The Red Raiders (7-4, 4-4) were led by Darrin Moore, who reeled in nine passes for 140 yards and a score.
Seth Doege went 24-of-36 for 230 yards passing with a touchdown but also surrendered two interceptions in Texas Tech's defeat.