A little bit of a shakeup with Gonzaga losing in the first round at the Battle 4 Atlantis, and UConn somehow going 0 for 3 in Maui. Kansas beat Duke in a high profile game in Vegas, and the rankings get jumbled quite a bit.
The Method
Basically this is the same as what I am doing for football. The components.
Bradley-Terry model using a small margin of victory component. This is more or less a logistic regression. A team gets 1 point for having a better rating than a competitor.
Head to Head record. A team gets as many points as net wins over a competitor. (no negative points for a team with a losing record)
Record vs Common Opponents. A pairwin here is worth 1 point.
Regular season leader. During the season we will use the highest rated team with the fewest conference losses (then the team with most pairwins based on criteria 1-3 as a tiebreaker). A pairwin here is worth 0.5 points. Based on how the committee seeded teams last year, 0.5 points fit the data better than 0 or 1.
For each component, a team is compared to the other 365 teams (all non D1 are treated as a single opponent) and points are awarded. Whichever head to head has more points counts a pairwin.
For example: Team A has a better rating than Team B, but they had no head to head, Team B did better against common opponents, and Team A was the regular season champ of its conference. In this example Team A has 1.5 points (1 for rating, 0.5 for reg season champ). Team B has 1 point for common record. Team A would get the overall pairwin.
Half pairwins are used for ties. The team with the most pairwins is the #1 overall team. If there is a tie in pairwins, the Bradley-Terry rating is used as a tiebreaker.
The Field of 68
Through the games of 11/28/2024. Now with some good teams playing each other, at least the field is looking like a plausible tournament field. The SoS is based on the perspective of a .500 team (using the Bradley-Terry rankings as weights)
The Bubble
The first 4 teams are in the field with byes to the Round of 64. Teams 5-8 are the play-in teams. The others are out in order. As you can see, the model is pretty dumb right now, but it is fun to watch it get smarter. I expect UConn, the two time champions to get back in the field but they are 4-3, and that can't be unseen - at least for now.