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2014-2015 NCAAMD2 Model Performance

Every ranked model predicted the same 1991 games (2014-12-07 to 2015-03-28, 16 weekly windows) out of sample: each week's games were predicted by models fit only on the season's earlier games. 7 of 1998 games are left out because a model had no rating for a team yet.

Model Catalog · Player models

Model Performance Leaderboard

Ranked by full-season AUC. The final week is the season's last 7 played days (5 games, 2015-03-22 to 2015-03-28), 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 โ†’ 0.794 71.8% 0.188 0.558 0.000 40.0%
2 Margin Margin Linear team-strength model fit on point differential instead of binary wins. More โ†’ 0.794 72.2% 0.188 0.558 0.000 60.0%
3 Points Off/Def Recency Points Off/Def Recency Off/def points regression with exponential recency weights. More โ†’ 0.794 72.1% 0.188 0.558 0.000 20.0%
4 Points Off/Def Points Off/Def Raw points regression with separate offensive and defensive team parameters. More โ†’ 0.794 71.9% 0.189 0.558 0.167 20.0%
5 Recency Ensemble Recency Ensemble Equal-logit blend of Elo, recency BT, recency margin, log-adjusted pyth, and recency points off/def. More โ†’ 0.781 70.4% 0.191 0.563 0.500 60.0%
6 Core Ensemble Core Ensemble Equal-logit blend of Elo, recency BT, recency margin, log-adjusted pyth, and points off/def. More โ†’ 0.781 70.4% 0.191 0.563 0.500 60.0%
7 Adjusted Efficiency Adjusted Efficiency Opponent-adjusted efficiency model with separate offensive and defensive components. More โ†’ 0.774 71.1% 0.193 0.567 1.000 100.0%
8 Log Adjusted Log Adjusted Log-scale adjusted efficiency model that downweights blowout leverage. More โ†’ 0.773 71.1% 0.193 0.568 1.000 100.0%
9 Adjusted Context Blend Adjusted Context Blend Chronologically trained component blend with rest and signed venue context. More โ†’ 0.771 69.8% 0.204 0.610 0.000 40.0%
10 Avg Margin Baseline Avg Margin Baseline Predict from simple average scoring margin in the training window. More โ†’ 0.755 69.7% 0.200 0.582 0.833 80.0%
11 Pythagorean Pythagorean Pythagorean win expectation from raw points scored and allowed. More โ†’ 0.752 69.7% 0.207 0.601 0.833 60.0%
12 Dynamic Bradley-Terry Dynamic Bradley-Terry Time-evolving paired-comparison model with latent team strength drift. More โ†’ 0.751 68.3% 0.201 0.586 0.667 40.0%
13 Bradley-Terry Recency Bradley-Terry Recency Static Bradley-Terry with exponential recency weights on newer games. More โ†’ 0.745 67.5% 0.204 0.592 0.667 40.0%
14 Bradley-Terry Bradley-Terry Static logistic paired-comparison model with one team strength parameter. More โ†’ 0.745 68.1% 0.204 0.591 0.667 40.0%
15 Elo Elo Streaming paired-comparison rating with recency baked into sequential updates. More โ†’ 0.742 67.1% 0.207 0.598 0.000 0.0%
16 Home Team Baseline Home Team Baseline Always favor the home team with a fixed prior. More โ†’ 0.590 59.0% 0.242 0.677 0.000 0.0%

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