Season Total – W/L 29-20, Spread 29-20, O/U 25-24

Week 1  – W/L 9-7, Spread 11-5, O/U 8-8

Week 2 – W/L 11-5, Spread 9-7, O/U 8-8

Week 3 – W/L 8-8, Spread 8-8, O/U 9-7

Week 4 – W/L 1-0, Spread 1-0, O/U 0-1

Week 5 – W/L 1-1, Spread 1-1, O/U 1-1

LA Rams at Seattle

Outcome: Seahawks 28-27

Spread: Seahawks +2.5

Total:  Over 54.5

NY Jets at Atlanta

Outcome: Falcons 26-22

Spread: Falcons -3

Total: Over 45.5

Philadelphia at Carolina

Outcome: Panthers 25-23

Spread: Eagles +2.5

Total:Over 46

Green Bay at Cincinnati

Outcome: Packers 24-21

Spread: Packers -2

Total: Under 50

New England at Houston

Outcome: Patriots 27-16

Spread: Patriots -8

Total: Over 39

Tennessee at Jacksonville

Outcome: Titans 27-21

Spread: Titans -4.5

Total: Under 48.5

Detroit at Minnesota

Outcome: Vikings 28-21

Spread: Lions +10

Total: Under 49.5

Denver at Pittsburgh

Outcome: Broncos 19-18

Spread: Steelers +1.5

Total: Under 39.5

Miami at Tampa Bay

Outcome: Buccaneers 30-17

Spread: Buccaneers -11

Total: Under 48

New Orleans at Washington

Outcome: Football Team 21-20

Spread: Football Team +2.5

Total: Under 43.5

Chicago at Las Vegas

Outcome: Raiders 25-18

Spread: Raiders -5.5

Total: Under 46

Cleveland at LA Chargers

Outcome: Chargers 27-26

Spread: Browns +2.5

Total: Over 47

San Francisco at Arizona

Outcome: Cardinals 25-24

Spread: 49ers +5

Total:Under 52.5

NY Giants at Dallas

Outcome: Cowboys 28-21

Spread: Giants +7

Total: Under 52.5

Buffalo at Kansas City

Outcome: Chiefs 30-25

Spread: Chiefs -3

Total:Under 56.6

Indianapolis at Baltimore

Outcome: Ravens 27-20

Spread: Colts +7

Total: Over 46

Season Total – W/L 37-27, Spread 39-25, O/U 30-34

Week 1  – W/L 9-7, Spread 11-5, O/U 8-8

Week 2 – W/L 11-5, Spread 9-7, O/U 8-8

Week 3 – W/L 8-8, Spread 8-8, O/U 9-7

Week 4 – W/L 9-7, Spread 11-5, O/U 5-11

Jacksonville at Cincinnati

Outcome: Bengals 27-20

Spread: Jaguars +7

Total: Over 46

Washington at Atlanta

Outcome: Falcons 22-21

Spread: Falcons +2

Total: Under 47.5

Houston at Buffalo

Outcome: Bills 33-16

Spread: Texans +17.5 

Total: Over 47

Detroit at Chicago

Outcome: Bears 24-19

Spread: Bears -3 

Total: Over 41.5 

Carolina at Dallas

Outcome: Cowboys 26-22

Spread: Cowboys -4

Total: Under 51.5

Indianapolis at Miami

Outcome: Colts 21-20

Spread: Colts +2.5

Total: Under 42.5

Cleveland at Minnesota

Outcome: Vikings 25-24

Spread: Vikings +1

Total: Under 51.5

NY Giants at New Orleans

Outcome: Saints 25-20

Spread: Giants +7

Total: Under 51.5 

Tennessee at NY Jets

Outcome: Titans 26-20

Spread: Titans -6

Total: Over 44

Kansas City at Philadelphia

Outcome: Chiefs 29-23

Spread: Eagles +7

Total: Under 54.5

Arizona at LA Rams

Outcome: Rams 28-24

Spread: Cardinals +4

Total: Under 54.5 

Seattle at San Francisco

Outcome: 49ers 27-26

Spread: Seahawks +2.5

Total: Over 52

Baltimore at Denver

Outcome: Broncos 25-24

Spread: Ravens +1

Total: Over 44

Pittsburgh at Green Bay

Outcome: Packers 26-20

Spread: Packers -6 

Total: Over 45

Tampa Bay at New England

Outcome: Buccaneers 27-23

Spread: Patriots +7

Total: Under 50

Las Vegas at LA Chargers

Outcome: Chargers 29-23

Spread: Chargers -3

Total: Under 52

Season Total – W/L 28-20, Spread 28-20, O/U 25-23

Week 1  – W/L 9-7, Spread 11-5, O/U 8-8

Week 2 – W/L 11-5, Spread 9-7, O/U 8-8

Week 3 – W/L 8-8, Spread 8-8, O/U 9-7

Carolina at Houston

Outcome: Panthers 19-18

Spread: Texans +9

Total: Under 43

Washington at Buffalo

Outcome: Bills 21-17

Spread: Washington Football Team +7

Total: Under 45.5

Chicago at Cleveland

Outcome: Browns 31-23

Spread: Browns -7.5

Total: Over 45

Baltimore at Detroit

Outcome: Ravens 28-25

Spread: Lions +7.5

Total: Over 51

Arizona at Jacksonville

Outcome: Cardinals 26-25

Spread: Jaguars +8

Total: Under 51.5 

LA Chargers at Kansas City

Outcome: Chiefs 29-25

Spread: Chargers +4

Total: Under 54.5

New Orleans at New England

Outcome: Patriots 22-20

Spread: Saints +2.5

Total: Under 43.5 

Atlanta at NY Giants

Outcome: Giants 27-22

Spread: Giants -2.5

Total: Over 47.5

Indianapolis at Tennessee

Outcome: Titans 29-25

Spread: Colts +4.5

Total: Under 54

Cincinnati at Pittsburgh

Outcome: Steelers 27-22

Spread: Steelers -2.5

Total: Over 42

NY Jets at Denver

Outcome: Broncos 28-13

Spread: Broncos -10

Total: Under 41.5

Miami at Las Vegas

Outcome: Miami 24-22

Spread: Dolphins +3.5

Total: Over 45

Seattle at Minnesota

Outcome: Seahawks 28-24

Spread: Seahawks -1.5

Total: Under 54

Tampa Bay at LA Rams

Outcome: Buccaneers 27-23

Spread: Buccaneers -1

Total: Under 55

Green Bay at San Francisco

Outcome: 49ers 26-25

Spread: Packers +3.5

Total: Over 50.5

Philadelphia at Dallas

Outcome: Cowboys 29-21

Spread: Cowboys -3.5

Total: Under 51.5 

Season Total – W/L 20-12, Spread 20-12, O/U 16-16

Week 1  – W/L 9-7, Spread 11-5, O/U 8-8

Week 2 – W/L 11-5, Spread 9-7, O/U 8-8

NY Giants at Washington Football Team

Outcome: Football Team 23-16

Spread: Football Team -4

Total: Under 41

New Orleans at Carolina

Outcome: Panthers 22-21

Spread: Panther +3.5

Total: Under 45

Cincinnati at Chicago

Outcome: Bears 25-19

Spread: Bears -2

Total: Under 44.5

Houston at Cleveland

Outcome: Browns 36-15

Spread: Browns -13.5

Total: Over 48

LA Rams at Indianapolis

Outcome: Rams 24-18

Spread: Rams -3.5

Total: Under 48

Denver at Jacksonville

Outcome: Broncos 26-17

Spread: Broncos -6

Total: Under 45

Buffalo at Miami

Outcome: Bills 27-23

Spread: Bills -3.5

Total: Over 47.5

New England at NY Jets

Outcome: Patriots 23-20

Spread: Jets +6

Total: Over 42.5

San Francisco at Philadelphia

Outcome: Eagles 25-22

Spread: Eagles +3

Total: Under 49.5

Las Vegas at Pittsburgh

Outcome: Steelers 25-23

Spread: Raiders +6.5

Total: Over 47

Minnesota at Arizona

Outcome: Cardinals 28-26

Spread: Vikings +3.5

Total: Over 51

Atlanta at Tampa Bay

Outcome: Buccaneers 26-23

Spread: Falcons +12.5

Total: Under 51.5

Dallas at LA Chargers

Outcome: Chargers 30-18

Spread: Chargers -3

Total: Under 55.5

Tennessee at Seattle

Outcome: Seahawks 26-25

Spread: Titans +6.5

Total: Under 54

Kansas City at Baltimore

Outcome: Chiefs 27-26

Spread: Ravens +4

Total: Under 54.5

Detroit at Green Bay

Outcome: Packers 36-15

Spread: Packers -11.5

Total: Over 48.5

Welcome!

Predicted Records

Predicted median records (Expected number of wins) Playoff Teams in bold

AFC East

Buffalo Bills 11-6 (11.179)

New England Patriots 10-6 (9.933)

Miami Dolphins 9-8 (8.538)

NY Jets  5-12 (5.323)

AFC North

Pittsburgh Steelers 10-7 (10.070)

Cleveland Browns 9-8 (9.201)

Baltimore Ravens 9-8 (8.803)

Cincinnati Bengals 4-13 (3.818)

AFC South

Indianapolis Colts 10-7 (9.826)

Tennessee Titans 9-8 (8.641)

Houston Texans 7-10 (7.404)

Jacksonville Jaguars 5-12 (4.562)

AFC West

Kansas City Chiefs 12-5 (12.164)

Las Vegas Raiders 10-7 (9.512)

Los Angeles Chargers 9-8 (8.717)

Denver Broncos 9-8 (8.603)

NFC East

Philadelphia Eagles 8-9 (7.854)

Washington Football Team 8-9 (7.603)

Dallas Cowboys 6-11 (5.930)

NY Giants 6-11 (5.514)

NFC North

Green Bay Packers 11-6 (10.788)

Minnesota Vikings 8-9 (8.331)

Chicago Bears 7-11 (7.489)

Detroit Lions 6-11 (5.904)

NFC South

Tampa Bay Buccaneers 11-6 (11.399)

New Orleans Saints 10-7 (10.068)

Atlanta Falcons 8-9 (8.294)

Carolina Panthers 8-9 (7.804)

NFC West

Los Angeles Rams 11-6 (11.144)

Seattle Seahawks 11-6 (10.687)

Arizona Cardinals 9-8 (8.684)

San Francisco 49ers 8-9 (8.213)

Playoff Prediction

AFC Seeds

1. Chiefs
2. Bills
3. Steelers
4. Colts
5. Raiders
6. Patriots
7. Browns

NFC Seeds

1. Buccaneers
2. Rams
3. Packers
4. Eagles
5. Seahawks
6. Saints
7. Cardinals

AFC Wild Card Round

Bills over Browns, 28-18

Steelers over Patriots, 23-18

Colts over Raiders, 29-25

NFC Wild Card Round

Rams over Cardinals, 28-20

Packers over Saints, 26-25

Seahawks over Eagles, 27-21

AFC Divisional Round

Chiefs over Colts, 32-24

Bills over Steelers, 24-20

NFC Divisional Round

Buccaneers over Seahawks, 26-24

Rams over Packers, 27-22

AFC Championship

Chiefs over Bills, 30-26

NFC Championship

Rams over Buccaneers, 24-23

Super Bowl

Chiefs over Rams, 28-24

Cheers!

Results

Week 1: W/L 9-7, Spread 11-5, O/U 8-8

Week 1 Picks

Dallas at Tampa Bay

Outcome: Buccaneers 32-17

Spread: Buccaneers -9

Total: Under 52

Philadelphia at Atlanta

Outcome: Falcons 25-22

Spread: Eagles +3.5

Total: Under 48.5

Pittsburgh at Buffalo

Outcome: Bills 25-21

Spread: Steelers +6.5

Total: Under 48.5

NY Jets at Carolina

Outcome: Panthers 28-19

Spread: Panthers -4

Total: Over 44

Minnesota at Cincinnati

Outcome: Vikings 28-18

Spread: Viking -3

Total: Under 47.5

Seattle at Indianapolis

Outcome: Seahawks 25-24

Spread: Colts +3

Total: Over 49

San Francisco at Detroit

Outcome: 49ers 26-23

Spread: Lions +8.5

Total: Over 45

Jacksonville at Houston

Outcome: Texans 31-22

Spread: Texans +3

Total: Over 45

Arizona at Tennessee

Outcome: Titans 27-25

Spread: Cardinals +3

Total: Over 52

LA Chargers at Washington Football team

Outcome: Football Team 21-20

Spread: Chargers +1

Total: Under 44.5

Cleveland at Kansas City

Outcome: Chiefs 32-23

Spread: Chiefs -5.5

Total: Over 54.5

Green Bay at New Orleans

Outcome: Saints 26-25

Spread: Saints +3.5

Total: Over 50

Miami at New England

Outcome: Patriots 22-17

Spread: Patriots -3

Total: Under 43.5

Denver at NY Giants

Outcome: Broncos 23-20

Spread: Broncos -3

Total: Over 42

Chicago at LA Rams

Outcome: Rams 27-16

Spread: Rams -7.5

Total: Under 46.5

Baltimore at Las Vegas

Outcome: Raiders 27-25

Spread: Raiders +4

Total: Over 50.5

This is awesome:

https://erdavis.com/2021/06/26/average-colors-of-the-world/?utm_source=digg

Cheers.

So, I’ve been working on missing data in statistical shape analysis for the last several years and one question that has popped up out of this is how would we deal with missing data for angular data (this question is related to how to deal with missing data in shapes, i swear).  So, as part of this I’ve been reading about regression models for angular data and angular data in general.

Here are some links to papers on the topic:

• A general angular regression model for the analysis of data on animal movement in ecology (2016)
• Regression models for angular response (1992)
• One Direction? A Tutorial for Circular Data Analysis Using R With Examples in Cognitive Psychology (2018)

I graduated with a Ph.D. in statistics ten years ago, and I start studying statistics almost 20 years ago, and I’ve never ever thought about angular data analysis until now.  I’m just constantly amazing by how little I know.  There is just too much stuff.

Cheers.

I saw on Flowing Data this Snowflake Generator.  It’s way cooler than my snowflake generator.

Cheers.

Here is a plot I made showing which seeds advanced to the round of eight (green), eliminated in round of 16 (blue), or eliminated in the group stage (black).

Some thoughts:

• The only group that didn’t advance anyone to the final 8 was the “group of death”, group F.  France, Germany, and Portugal all lost their games in the Round of 16.  That’s the last two World Cup Champions and the last Euro Champion all eliminated.
• Of the 8 teams to advance, three of them finished third in their group.
• One 3 of the 6 group winners advanced to the Quarterfinals (England, Italy, Belgium).
• Groups A, B, and D each had two teams advance.
• Belgium and Italy who play each other in the Quarterfinals combined for 6 wins, 0 losses, 0 ties, and 18 points in group play.  The other 6 teams earned 26 points TOTAL from 7 wins, 7 losses, and 4 ties.
• Two teams in the final 8 had two losses in the group stage (Denmark and Ukraine).
• There were 7 teams that had 0 losses in the group stage.  Only 3 advanced to the Quarterfinals (Spain, Belgium, Italy).  And all three of these teams are on the same side of the bracket.
• If you are wondering how the matchups in the knockout stage were decided, check out this wikipedia page. Cheers.   And go Denmark, Switzerland, and Czech Republic!