|
2014 NCAA Men's Division
I Basketball Tournament Prediction Accuracy Nate Silver's
relaunch of FiveThirtyEight.com
includes predictions
for the 2014 NCAA Men's Division I basketball tournament. Nate's
model
provides the odds of each team advancing in the tournament
and is updated after each game.
The tables below use Brier
scores to determine the accuracy of the probabilistic predictions in Nate's model.
Brier scores range from 0 to 1, with 0 meaning the probabilities in the model perfectly match
the outcomes of the games and 1 meaning no matches were made (so the closer to 0, the better
calibration of the model). If a 50% probability were assigned to each team for each game, the
Brier score would be 0.25.
For the 67 games played in the
tournament, Nate's model has
an overall Brier score of 0.1969. The 95% confidence interval
for the overall score is 0.1495 - 0.2441, making this a low performing model (an overall
Brier score of 0.0500 or less would make it a high performing model). It should be noted, however,
that the Brier score for Nate's
model is 0.2559 when calculated by tournament round.
Nate's model performed poorly in
the first round of the tournament where the Brier score for the four games of 0.2744 exceeded
what the score would have been by assigning each team a 50% probability of winning.
| 2014 NCAA Men's Division I - Round 1 Play-in |
| Winner |
538 Probability of Win |
Brier Score |
|
| Cal Poly |
0.5560 |
0.1971 |
| Albany |
0.5231 |
0.2274 |
| Iowa |
0.4828 |
0.2675 |
| NC State |
0.3631 |
0.4057 |
|
| Brier score for 4 games |
0.2744 |
In the second round of play, Nate's model receives
a Brier score of 0.1896. Most notable are wins by Harvard, Stanford, North Dakota State, Tennessee,
Dayton, Stephen F. Austin, and Mercer with Nate's model showing probabilities of winning for
these teams ranging from 42% to 7%.
| 2014 NCAA Men's Division I - Round 2 |
| Winner |
538 Probability of Win |
Brier Score |
|
| Florida |
0.9877 |
0.0002 |
| Arizona |
0.9777 |
0.0005 |
| Wichita State |
0.9755 |
0.0006 |
| Virginia |
0.9639 |
0.0013 |
| Michigan |
0.9539 |
0.0021 |
| Villanova |
0.9472 |
0.0028 |
| Louisville |
0.9307 |
0.0048 |
| Wisconsin |
0.9284 |
0.0051 |
| Kansas |
0.9240 |
0.0058 |
| Michigan State |
0.9118 |
0.0078 |
| Syracuse |
0.8830 |
0.0137 |
| Creighton |
0.8831 |
0.0137 |
| UCLA |
0.8708 |
0.0148 |
| Iowa State |
0.8124 |
0.0352 |
| San Diego State |
0.7455 |
0.0648 |
| Kentucky |
0.7393 |
0.0680 |
| Pittsburgh |
0.7243 |
0.0760 |
| Baylor |
0.7032 |
0.0881 |
| North Carolina |
0.6796 |
0.1026 |
| Connecticut |
0.6730 |
0.1069 |
| Oregon |
0.6473 |
0.1244 |
| Saint Louis |
0.5805 |
0.1760 |
| Memphis |
0.5500 |
0.2025 |
| Texas |
0.5012 |
0.2488 |
| Gonzaga |
0.4799 |
0.2705 |
| Harvard |
0.4198 |
0.3366 |
| Stanford |
0.3625 |
0.4065 |
| North Dakota State |
0.3621 |
0.4069 |
| Tennessee |
0.3600 |
0.4096 |
| Dayton |
0.2469 |
0.5671 |
| Stephen F. Austin |
0.2359 |
0.5839 |
| Mercer |
0.0708 |
0.8633 |
|
| Brier score for 32 games |
0.1896 |
In the third round of the tournament, the Brier
score for Nate's model is 0.1899. Most notable in this round are wins by Baylor, Kentucky,
Connecticut, Dayton, and Stanford with Nate's model showing probabilities of winning for these
teams ranging from 46% to 21%.
| 2014 NCAA Men's Division I - Round 3 |
| Winner |
538 Probability of Win |
Brier Score |
|
| UCLA |
0.8782 |
0.0148 |
| Louisville |
0.8223 |
0.0316 |
| Tennessee |
0.8106 |
0.0359 |
| Michigan |
0.7869 |
0.0454 |
| Michigan State |
0.7723 |
0.0518 |
| Wisconsin |
0.7720 |
0.0520 |
| Florida |
0.7620 |
0.0566 |
| Arizona |
0.7266 |
0.0748 |
| Virginia |
0.7099 |
0.0841 |
| San Diego State |
0.6458 |
0.1254 |
| Iowa State |
0.5572 |
0.1960 |
| Baylor |
0.4560 |
0.2960 |
| Kentucky |
0.4214 |
0.3348 |
| Connecticut |
0.3510 |
0.4212 |
| Dayton |
0.2266 |
0.5981 |
| Stanford |
0.2127 |
0.6198 |
|
| Brier score for 16 games |
0.1899 |
The Brier score Nate's model in the fourth round
is 0.2166. This is about 13% better than assigning all teams
a 50%
probability of winning. Kentucky was an upset based on Nate's
model.
| 2014 NCAA Men's Division I - Round 4 |
| Winner |
538 Probability of Win |
Brier Score |
|
| Arizona |
0.7263 |
0.0749 |
| Florida |
0.7164 |
0.0804 |
| Wisconsin |
0.5908 |
0.1674 |
| Michigan |
0.5254 |
0.2252 |
| Connecticut |
0.5159 |
0.2343 |
| Michigan State |
0.5072 |
0.2428 |
| Dayton |
0.5008 |
0.2492 |
| Kentucky |
0.3230 |
0.4584 |
|
| Brier score for 8 games |
0.2166 |
The Brier score for Nate's model for the fifth
round exceeds what the Brier score would have been by assigning each team a 50% probability
of winning. Wisconsin and Connecticut were upsets based on Nate's model.
| 2014 NCAA Men's Division I - Round 5 |
| Winner |
538 Probability of Win |
Brier Score |
|
| Florida |
0.8306 |
0.0287 |
| Kentucky |
0.5485 |
0.2038 |
| Wisconsin |
0.3681 |
0.3993 |
| Connecticut |
0.3658 |
0.4022 |
|
| Brier score for 4 games |
0.2585 |
In round 6, Nate's model missed both winners
by a large margin.
| 2014 NCAA Men's Division I - Round 6 |
| Winner |
538 Probability of Win |
Brier Score |
|
| Kentucky |
0.4183 |
0.3383 |
| Connecticut |
0.3007 |
0.4890 |
|
| Brier score for 2 games |
0.4137 |
In the final round, Nate's model picked the
winning team, but only after recalculating the probabilities for the final game.
| 2014 NCAA Men's Division I - Round 7 |
| Winner |
538 Probability of Win |
Brier Score |
|
| Connecticut |
0.5013 |
0.2487 |
|
| Brier score for 67 games |
0.1969 |
How well is Nate's model calibrated? Nate's
model performed poorly in rounds 1, 5, and 6, Nate's model
had the final game virtually a toss-up, and the model
did not improve as the tournament progressed. The overall Brier
score of 0.1969 confirms that this is a low performing model. |