The Big 12 has several tiebreaker rules for determining the conference championship, including:

Win percentage against common opponents
Compare the tied teams' win percentages against all common conference opponents.

Win percentage against next highest common opponent
If the teams haven't played each other, compare their win percentages against the next highest-ranked common opponent.

Combined win percentage
Compare the teams' combined win percentages in conference games against conference opponents.

Total number of wins
Compare the teams' total number of wins in a 12-game season.

SportSource Analytics ranking
Compare the teams' rankings by SportSource Analytics' team rating score metric.

Coin toss
If the teams are still tied after the other tiebreakers, a coin toss will determine the representative.