Tuesday, December 18, 2007

Predictions 2007 Week 16 and Accuracy Report

The predictions are based on yards per play on rushing and passing plays (sacks and sack yards included), sack rates, third down conversion rates, penalty yards per game, and fumble and interception rates. The models are trained on the 1996-2006 seasons. Linear regression predicts the final score margin (home team points - away team points). Logistic regression estimates the probability that the home team will win.

Quick Summary of Accuracy
LAST WEEK
Linear regression, opponent adjusted: 11 out of 16
Logistic regression, opponent adjusted: 11 out of 16
Linear regression, unadjusted: 11 out of 16
Logistic regression, unadjusted: 11 out of 16

YEAR SO FAR
Linear regression, opponent adjusted: 67.7083%
Logistic regression, opponent adjusted: 66.6667%
Linear regression, unadjusted: 65.6250%
Logistic regression, unadjusted: 64.0625%

Full accuracy numbers after the jump...




















Predictions based on opponent-adjusted stats
GamePredicted Final Score MarginP(Home Team Wins)
NYG @ BUF0.905355.0606
MIA @ NE13.004084.2098
CLE @ CIN2.834358.3370
HOU @ IND9.150378.3015
OAK @ JAX10.611180.2843
NYJ @ TEN7.690074.7585
DEN @ SD5.439866.5751
GB @ CHI-3.806938.3978
KC @ DET4.011765.8262
WAS @ MIN3.129162.7727
DAL @ CAR-3.232838.2353
PHI @ NO0.369050.3606
ATL @ ARI3.246662.6908
PIT @ STL-2.596740.2619
TB @ SF-6.159430.3052
BAL @ SEA4.615867.1546





















Predictions based on unadjusted stats
GamePredicted Final Score MarginP(Home Team Wins)
NYG @ BUF0.434253.2830
MIA @ NE13.045584.5055
CLE @ CIN2.576258.1606
HOU @ IND8.750277.5031
OAK @ JAX9.916278.5033
NYJ @ TEN7.766475.1096
DEN @ SD4.990764.0299
GB @ CHI-4.907033.3815
KC @ DET4.650166.1414
WAS @ MIN4.977868.2217
DAL @ CAR-3.480538.2718
PHI @ NO1.063552.7115
ATL @ ARI4.129866.1845
PIT @ STL-2.910140.0653
TB @ SF-6.527529.6552
BAL @ SEA5.326269.5435



OPPONENT-ADJUSTED
Linear regression
Win prediction accuracy: 67.7083%
Mean absolute error: 11.4336 points
Correlation with result: 0.4070
% of games predicted as home team wins: 72.3958%
Logistic regression
Win prediction accuracy: 66.6667%
Correlation with result: 0.3988
% of games predicted as home team wins: 74.4792%
Win prediction accuracy when 20%≤P(home team wins)<30%: 100.0000
Win prediction accuracy when 30%≤P(home team wins)<40%: 83.3333
Win prediction accuracy when 40%≤P(home team wins)<50%: 64.2857
Win prediction accuracy when 50%≤P(home team wins)<60%: 50.0000
Win prediction accuracy when 60%≤P(home team wins)<70%: 72.5490
Win prediction accuracy when 70%≤P(home team wins)<80%: 65.7143
Win prediction accuracy when 80%≤P(home team wins)<90%: 88.8889

UNADJUSTED
Linear regression
Win prediction accuracy: 65.6250%
Mean absolute error: 11.4516 points
Correlation with result: 0.3927
% of games predicted as home team wins: 71.3542%
Logistic regression
Win prediction accuracy: 64.0625%
Correlation with result: 0.3861
% of games predicted as home team wins: 71.8750%
Win prediction accuracy when 10%≤P(home team wins)<20%: 100.0000
Win prediction accuracy when 20%≤P(home team wins)<30%: 75.0000
Win prediction accuracy when 30%≤P(home team wins)<40%: 72.2222
Win prediction accuracy when 40%≤P(home team wins)<50%: 58.6207
Win prediction accuracy when 50%≤P(home team wins)<60%: 48.7179
Win prediction accuracy when 60%≤P(home team wins)<70%: 63.4615
Win prediction accuracy when 70%≤P(home team wins)<80%: 76.4706
Win prediction accuracy when 80%≤P(home team wins)<90%: 66.6667
Win prediction accuracy when 90%≤P(home team wins)<100%: 100.0000

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