2011-2012 NCAAW Model Performance
Scope
All scored games in the selected league and season. AP Poll is excluded here.
Season
Every ranked model predicted the same 3942 games (2011-12-07 to 2012-04-03, 17 weekly windows) out of sample: each week's games were predicted by models fit only on the season's earlier games.
Does recruiting help team predictions?
Women: not measured yet. The women's preseason estimate has no recruiting
data; its roster part alone beats carrying last season over by 40 milli-nats per game in
weeks 1-4 and 14 over the full season.
Milli-nats: 0.001 of log loss per game, lower is better.
Recruiting model report
· Preseason prior backtest
Model Performance Leaderboard
Ranked by full-season AUC. The final week is the season's last 7 played days (6 games, 2012-03-28 to 2012-04-03), predicted from every earlier game: a small sample that shows the latest form.
| # | Model | AUC | Acc | Brier | LogLoss | AUC final wk | Acc final wk |
|---|---|---|---|---|---|---|---|
| 1 | Margin Recency Margin Recency Margin regression with exponential recency weights on newer games. More → | 0.846 | 76.2% | 0.164 | 0.498 | 1.000 | 66.7% |
| 2 | Margin Margin Linear team-strength model fit on point differential instead of binary wins. More → | 0.846 | 76.2% | 0.164 | 0.499 | 1.000 | 66.7% |
| 3 | Points Off/Def Recency Points Off/Def Recency Off/def points regression with exponential recency weights. More → | 0.843 | 75.7% | 0.166 | 0.504 | 1.000 | 83.3% |
| 4 | Points Off/Def Points Off/Def Raw points regression with separate offensive and defensive team parameters. More → | 0.842 | 75.6% | 0.167 | 0.505 | 1.000 | 66.7% |
| 5 | Core Ensemble Core Ensemble Equal-logit blend of Elo, recency BT, recency margin, log-adjusted pyth, and points off/def. More → | 0.839 | 75.0% | 0.165 | 0.497 | 1.000 | 66.7% |
| 6 | Recency Ensemble Recency Ensemble Equal-logit blend of Elo, recency BT, recency margin, log-adjusted pyth, and recency points off/def. More → | 0.839 | 74.9% | 0.165 | 0.497 | 1.000 | 66.7% |
| 7 | Adjusted Context Blend Adjusted Context Blend Chronologically trained component blend with rest and signed venue context. More → | 0.835 | 75.5% | 0.171 | 0.518 | 1.000 | 100.0% |
| 8 | Log Adjusted Log Adjusted Log-scale adjusted efficiency model that downweights blowout leverage. More → | 0.832 | 74.9% | 0.176 | 0.542 | 0.750 | 66.7% |
| 9 | Adjusted Efficiency Adjusted Efficiency Opponent-adjusted efficiency model with separate offensive and defensive components. More → | 0.832 | 74.7% | 0.175 | 0.540 | 0.625 | 66.7% |
| 10 | Bradley-Terry Bradley-Terry Static logistic paired-comparison model with one team strength parameter. More → | 0.811 | 73.1% | 0.180 | 0.537 | 0.625 | 50.0% |
| 11 | Bradley-Terry Recency Bradley-Terry Recency Static Bradley-Terry with exponential recency weights on newer games. More → | 0.811 | 73.2% | 0.180 | 0.537 | 0.625 | 50.0% |
| 12 | Elo Elo Streaming paired-comparison rating with recency baked into sequential updates. More → | 0.807 | 72.5% | 0.182 | 0.541 | 1.000 | 100.0% |
| 13 | Dynamic Bradley-Terry Dynamic Bradley-Terry Time-evolving paired-comparison model with latent team strength drift. More → | 0.801 | 72.3% | 0.183 | 0.542 | 0.875 | 83.3% |
| 14 | Avg Margin Baseline Avg Margin Baseline Predict from simple average scoring margin in the training window. More → | 0.800 | 71.6% | 0.183 | 0.544 | 0.250 | 33.3% |
| 15 | Pythagorean Pythagorean Pythagorean win expectation from raw points scored and allowed. More → | 0.794 | 72.8% | 0.189 | 0.557 | 0.375 | 33.3% |
| 16 | Home Team Baseline Home Team Baseline Always favor the home team with a fixed prior. More → | 0.602 | 60.2% | 0.240 | 0.672 | 1.000 | 100.0% |
Methodology
Out-of-sample windows
- The season is split into 7-day windows ending on its last played day
- Each window is predicted by models refit on all earlier games of the season
- The first window starts after 21 days of games
- Every model is scored on the same games; a model that cannot predict most of them is listed as not compared
Elo / Bradley-Terry
- Elo: the published league Elo (preseason priors and carryover where configured), frozen at the window start
- Bradley-Terry: static logistic fit on the earlier games
- Recency variants weight games with a 120-day half-life in NCAA leagues (keeping the non-conference games that link conferences) and a 30-day half-life in pro leagues
Pythagorean and margin models
- Raw, adjusted and log-adjusted Pythagorean from scores; efficiency from box-score possessions
- Margin: ridge regression on point margin with a learned home advantage
- Ensembles average the log-odds of five families
Baselines
- Home Team: the home team wins 60% (50% at neutral sites)
- Avg Margin: the higher average margin so far wins
- Models should beat these to add value