Monday, December 24, 2007

Win Probabilities and Expected Wins 2007 - Week 16

The following table lists the probabilities that the home team would win each game given the rushing averages, passing averages (includes sack yards lost and sacks as pass attempts), sack rates, third down conversion rates, penalty yards, and interception and fumble rates (by number of completions and rushing plays) for both teams. A logistic regression model trained on 1996-2006 data computes the probabilities. The final score margin is Home team points - Away team points. The sum of these probabilities of victory form the expected win totals in the second table after the jump. The tables will be updated as more box scores come in.



















Home TeamAway TeamP(Home Team Won) (%)Final Score Margin
STLPIT22.9134-17
CARDAL48.1312-7
NEMIA91.533621
SFTB22.15272
SEABAL90.516921
TENNYJ70.59034
MINWAS4.5396-11
CHIGB99.704628
CINCLE34.18535
DETKC24.70625
INDHOU98.426423
JAXOAK99.991738
BUFNYG10.6066-17
NOPHI10.2995-15
ARIATL47.06533
SDDEN98.678620


Teams that should have won but didn't
Tampa Bay Buccaneers (@ 49ers), Win Prob = 77.8473% Though Tampa Bay fumbled three times and gave up 4 sacks, they passed over twice as much as the 49ers and ran 35 more plays, lowering their sack, fumble, and interception rates. They gained 6.6 yards per pass versus 4.5. Each threw a pick, and Tampa Bay was more efficient on third downs.
Cleveland Browns (@ Bengals), Win Prob = 65.8147% Cleveland was slightly more efficient running but less efficient passing. Each team had two fumbles, but Cleveland threw four interceptions versus Cincinnati's two. Again, total number of plays comes into effect, as the Browns ran 49 pass plays while the Bengals ran 21.
Kansas City Chiefs (@ Lions), Win Prob = 75.2938% Kansas City ran 3 times as many pass plays as the Lions, averaging 6.6 yards per pass while the Lions managed only 5.5 ypp. Each team threw a pick, but the Lions' pick carries a much heavier weight because they threw the ball only 16 times.
Atlanta Falcons (@ Cardinals), Win Prob = 52.9437% Atlanta gained 4.4 yards per carry, while Arizona could gain only 2.8 ypc. They were about equal in terms of passing and third downs, and each team had a turnover. Atlanta fared slightly worse in terms of penalties and sack rates. These teams played about equally well, which is indicated by the probability and the result (an overtime win by a field goal).



















































TeamActual WinsExpected WinsProjected Win Total
AFC East
BUF7.05.68456.0634
MIA1.04.80605.1264
NE15.012.690313.5363
NYJ3.04.76755.0854
AFC North
BAL4.05.32795.6831
CIN6.07.28117.7665
CLE9.07.80078.3208
PIT10.09.943810.6067
AFC South
HOU7.06.73527.1842
IND13.012.803213.6567
JAX11.010.276610.9617
TEN9.07.70178.2152
AFC West
DEN6.06.73017.1788
KC4.06.41666.8444
OAK4.04.56624.8706
SD10.08.73389.3161
NFC East
DAL13.010.941211.6706
NYG10.07.56138.0654
PHI7.08.69199.2714
WAS8.07.75918.2764
NFC North
CHI6.04.54084.8435
DET7.06.78727.2397
GB12.09.666310.3107
MIN8.08.24948.7994
NFC South
ATL3.06.19916.6124
CAR6.06.17186.5833
NO7.07.06657.5376
TB9.010.280010.9654
NFC West
ARI7.05.81366.2011
STL3.05.29225.6450
SF5.02.56662.7377
SEA10.010.147910.8244


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