Texas and Nebraska play Saturday night for the Big 12 championship.
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McCoy has passed for 3,328 yards and 27 touchdowns. Suh had 15 tackles for losses and 6.5 sacks.
Kansas State running back Daniel Thomas is the offensive newcomer of the year. Defensive end Aldon Smith of Missouri was voted the top defensive newcomer.
The awards are selected by a panel of 20 newspaper reporters who regularly cover the Big 12 in the league's seven states.