Previous 2016 Predictions:
- Week 2: 11 - 5
------------------------------------------------------------------------------------------------------------------------
Recap: Week 3
9-7. So the running total is 20 - 12 (62.5%). With the probabilities I gave, the expected outcome was 9.44 correct predictions. So this is as expected given my model performance and the probability predictions it output.
Did the ensemble do any better? Yes. If I go with the ensemble prediction with ties decided by outcome prediction, the prediction was 11-5. If I let ties be decided by the final score, the prediction was still 11-5. So I definitely should look into ensembling in a more robust and consistent way in the future.
_________________________________________________________________________________
Week 3:
My goal is to make some improvement in my models, however minor, once a week. This week I made two changes.
The first was to normalize the distribution of final scores before predicting them. The point of doing this is to reduce heteroscedasticity so that the regression errors of my model are more uniform. In particular, the games in which a team scored 0 points cause the data to be skewed left. I applied a power transform (.75) to bring the values above 0 closer to 0 so that the overall distribution is more normal. This caused my final score model to perform better (r-squared = .146 to r-squared = .156). It's still a terrible model, but now it is less terrible.
The second change was to start making my outcome, score difference, and final score models vote on the outcome. The models often disagree in the final outcome, so this is a way of ensembling the models to produce a single outcome. Right now, I am mostly curious about how this ensembling model performs compared to the outcome model. So this is just exploration. In the future, I hope to make a more serious attempt at ensembling models and using this ensemble to predict outcomes. For now, my outcome predictor is my final prediction of the game.
Oddities and Bold Predictions:
- Broncos vs. Bengals:
- my outcome model gives the Bengals the win (barely at .504), the score difference predicts 0, and the final score model predicts 27-23 Broncos victory. So this is essentially a tie. Personally, I'd go with the Broncos against my outcome prediction.
- Chiefs vs. Jets:
- same as above. Chiefs get the outcome win, score difference is 0, and Jets get the final score victory 27-25. So another tie. Still going with a Chief's victory.
- Giants vs. Redskins:
- my outcome says Giants, but the score difference and final score models both say Redskins. I'd go with the Giants.
- Raiders vs. Titans:
- outcome says Titans, but score difference and score final say Raiders. Both are 1-1 and I don't know enough about either team to make a judgement call.
Good luck in Week 3!
Here are the predictions for Week 3
Week
|
Date
|
Team
|
Home Away
|
Opponent
|
Prob. Win
|
Pred. Team Win
|
Actual Team Win
|
Pred. Team PD
|
Actual Team PD
|
Pred. Team
Score
|
Pred. Opp.
Score
|
Actual Team
Score
|
Actual Opp.
Score
|
Ensemble Prediction Win
|
3
|
9/22/2016
|
Patriots
|
Texans
|
0.523
|
1
|
1
|
3
|
27
|
25
|
20
|
27
|
0
|
1.00
| |
3
|
9/22/2016
|
Texans
|
@
|
Patriots
|
0.477
|
0
|
0
|
-3
|
-27
|
20
|
25
|
0
|
27
|
0.00
|
3
|
9/25/2016
|
49ers
|
@
|
Seahawks
|
0.468
|
0
|
0
|
-2
|
-19
|
18
|
22
|
18
|
37
|
0.00
|
3
|
9/25/2016
|
Bears
|
@
|
Cowboys
|
0.422
|
0
|
0
|
-3
|
-14
|
21
|
25
|
17
|
31
|
0.00
|
3
|
9/25/2016
|
Bengals
|
Broncos
|
0.504
|
1
|
0
|
0
|
-12
|
23
|
27
|
17
|
29
|
0.50
| |
3
|
9/25/2016
|
Bills
|
Cardinals
|
0.295
|
0
|
1
|
-5
|
15
|
21
|
26
|
33
|
18
|
0.00
| |
3
|
9/25/2016
|
Broncos
|
@
|
Bengals
|
0.496
|
0
|
1
|
0
|
12
|
27
|
23
|
29
|
17
|
0.50
|
3
|
9/25/2016
|
Browns
|
@
|
Dolphins
|
0.388
|
0
|
0
|
-3
|
-6
|
20
|
23
|
24
|
30
|
0.00
|
3
|
9/25/2016
|
Buccaneers
|
Rams
|
0.745
|
1
|
0
|
7
|
-5
|
24
|
14
|
32
|
37
|
1.00
| |
3
|
9/25/2016
|
Cardinals
|
@
|
Bills
|
0.705
|
1
|
0
|
5
|
-15
|
26
|
21
|
18
|
33
|
1.00
|
3
|
9/25/2016
|
Chargers
|
@
|
Colts
|
0.499
|
0
|
0
|
-1
|
-4
|
25
|
26
|
22
|
26
|
0.00
|
3
|
9/25/2016
|
Chiefs
|
Jets
|
0.541
|
1
|
1
|
0
|
21
|
25
|
27
|
24
|
3
|
0.50
| |
3
|
9/25/2016
|
Colts
|
Chargers
|
0.501
|
1
|
1
|
1
|
4
|
26
|
25
|
26
|
22
|
1.00
| |
3
|
9/25/2016
|
Cowboys
|
Bears
|
0.578
|
1
|
1
|
3
|
14
|
25
|
21
|
31
|
17
|
1.00
| |
3
|
9/25/2016
|
Dolphins
|
Browns
|
0.612
|
1
|
1
|
3
|
6
|
23
|
20
|
30
|
24
|
1.00
| |
3
|
9/25/2016
|
Eagles
|
Steelers
|
0.382
|
0
|
1
|
-5
|
31
|
19
|
24
|
34
|
3
|
0.00
| |
3
|
9/25/2016
|
Giants
|
Redskins
|
0.509
|
1
|
0
|
-1
|
-2
|
24
|
27
|
27
|
29
|
0.33
| |
3
|
9/25/2016
|
Jaguars
|
Ravens
|
0.277
|
0
|
0
|
-6
|
-2
|
21
|
25
|
17
|
19
|
0.00
| |
3
|
9/25/2016
|
Jets
|
@
|
Chiefs
|
0.459
|
0
|
0
|
0
|
-21
|
27
|
25
|
3
|
24
|
0.50
|
3
|
9/25/2016
|
Lions
|
@
|
Packers
|
0.377
|
0
|
0
|
-3
|
-7
|
25
|
26
|
27
|
34
|
0.00
|
3
|
9/25/2016
|
Packers
|
Lions
|
0.623
|
1
|
1
|
3
|
7
|
26
|
25
|
34
|
27
|
1.00
| |
3
|
9/25/2016
|
Panthers
|
Vikings
|
0.595
|
1
|
0
|
1
|
-12
|
23
|
21
|
10
|
22
|
1.00
| |
3
|
9/25/2016
|
Raiders
|
@
|
Titans
|
0.49
|
0
|
1
|
2
|
7
|
30
|
27
|
17
|
10
|
0.67
|
3
|
9/25/2016
|
Rams
|
@
|
Buccaneers
|
0.255
|
0
|
1
|
-7
|
5
|
14
|
24
|
37
|
32
|
0.00
|
3
|
9/25/2016
|
Ravens
|
@
|
Jaguars
|
0.723
|
1
|
1
|
6
|
2
|
25
|
21
|
19
|
17
|
1.00
|
3
|
9/25/2016
|
Redskins
|
@
|
Giants
|
0.491
|
0
|
1
|
1
|
2
|
27
|
24
|
29
|
27
|
0.67
|
3
|
9/25/2016
|
Seahawks
|
49ers
|
0.532
|
1
|
1
|
2
|
19
|
22
|
18
|
37
|
18
|
1.00
| |
3
|
9/25/2016
|
Steelers
|
@
|
Eagles
|
0.618
|
1
|
0
|
5
|
-31
|
24
|
19
|
3
|
34
|
1.00
|
3
|
9/25/2016
|
Titans
|
Raiders
|
0.51
|
1
|
0
|
-2
|
-7
|
27
|
30
|
10
|
17
|
0.33
| |
3
|
9/25/2016
|
Vikings
|
@
|
Panthers
|
0.405
|
0
|
1
|
-1
|
12
|
21
|
23
|
22
|
10
|
0.00
|
3
|
9/26/2016
|
Falcons
|
@
|
Saints
|
0.628
|
1
|
1
|
5
|
13
|
29
|
27
|
45
|
32
|
1.00
|
3
|
9/26/2016
|
Saints
|
Falcons
|
0.372
|
0
|
0
|
-5
|
-13
|
27
|
29
|
32
|
45
|
0.00
|
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