Archive for December, 2009

Posted by lunarmotion at 23 December 2009

Category: Politics & Government

Posted by lunarmotion at 22 December 2009

Category: Films

Posted by lunarmotion at 21 December 2009

Category: Stats & Math

After the first weekend of college bowls, here’s how my model stacks up against the actual results. 

  Fresno State Wyoming
Model 63% 37%
Actual 28 35 2OT
   
  UCF Rutgers
Model 42% 58%
Actual 24 45
   
  Southern Miss Mid Tenn St
Model 48% 52%
Actual 32 42

Posted by lunarmotion at 15 December 2009

Category: Politics & Government

Isn’t it taxation without representation when you put your non-voting younger generation so far into debt that you enslave their future?

Varvel

Posted by lunarmotion at 14 December 2009

Category: Stats & Math

As reported by Fox News and the London Telegraph, Simon Blackburn of London’s Royal Holloway College has developed a mathematical equation describing the geometry of parallel parking. Dr. Blackburn’s page (found here) has a link to his original paper.

Posted by lunarmotion at 11 December 2009

Category: Stats & Math

I have developed the following college football bowl predictions based on my model of college football rankings. A few things to note: the most lopsided matchup seems to be Nevada vs SMU. The best matchups seem to be Oklahoma vs Stanford and South Carolina vs Connecticut.

Fresno State Wyoming
63% 37%
   
UCF Rutgers
42% 58%
   
Southern Miss Mid Tenn St
48% 52%
   
Oregon State BYU
54% 46%
   
Utah California
54% 46%
   
Nevada SMU
72% 28%
   
Marshall Ohio
38% 62%
   
Pittsburgh North Carolina
55% 45%
   
Boston College USC
45% 55%
   
Kentucky Clemson
54% 46%
   
Texas A&M Georgia
41% 59%
   
Miami (FL) Wisconsin
55% 45%
   
Bowling Green Idaho
54% 46%
   
Arizona Nebraska
49% 51%
   
Houston Air Force
42% 58%
   
Oklahoma Stanford
50% 50%
   
Navy Missouri
42% 58%
   
Minnesota Iowa State
45% 55%
   
Virginia Tech Tennessee
59% 41%
   
Northwestern Auburn
51% 49%
   
West Virginia Florida State
65% 35%
   
Penn State Louisiana State
52% 48%
   
Ohio State Oregon
47% 53%
   
Florida Cincinnati
52% 48%
   
South Florida N Illinois
57% 43%
   
South Carolina Connecticut
50% 50%
   
Oklahoma State Mississippi
47% 53%
   
Arkansas East Carolina
58% 42%
   
Michigan State Texas Tech
34% 66%
   
Boise State TCU
42% 58%
   
Iowa Georgia Tech
44% 56%
   
C Michigan Troy
58% 42%
   
Texas Alabama
46% 54%

Posted by lunarmotion at 11 December 2009

Category: Stats & Math

Below I gave top 30 rankings based on a system I developed. Those rankings included such factors as home field advantage and point spread — factors the BCS forbids computer models from considering.

Below is another top 30 list. The rankings are based strictly on the Elo ranking system. For an excellent description of this system, see this article in Wikipedia. I take a different approach than straightforward Elo ranking, though. I first rank all games between FBS and FCS opponents. I then set each conference’s initial score to their respective division score. I then rank all out of conference games. I set each team’s initial score to their respective conference score. For the division and conference ranking I use K = 24. Next I rank each game, using K = 96. The teams are ordered by descending score (ie. highest score is ranked #1).

Here are the results through games played by December 5.

Rank Team
1 Alabama
2 Cincinnati
3 Florida
4 Texas
5 TCU
6 Louisiana State
7 Oregon
8 West Virginia
9 Boise State
10 Iowa
11 Georgia Tech
12 Ohio State
13 Stanford
14 Georgia
15 Penn State
16 Arizona
17 Miami (FL)
18 Pittsburgh
19 Arkansas
20 Kentucky
21 Mississippi
22 BYU
23 Oklahoma State
24 Nebraska
25 Oregon State
26 Tennessee
27 Virginia Tech
28 Northwestern
29 Utah
30 South Carolina

Posted by lunarmotion at 9 December 2009

Category: Stats & Math

As usual the BCS bowl selections caused stirs throughout college football fandom. Many people hate the fact that computers running mathematical models have a major roll in determining those bowl bids. Well, get over it. The computers are imperfect, but they are unbiased. You cannot say the same thing about the human voters in the polls.

Not to be outdone by other geeks, I have developed my own math model and computerized it. Unlike the BCS models, I account for the strength of your conference schedule, the point spread in the game, home field advantage, and ties in regulation time. Boo hoo it all you want, but my model had Alabama over Florida before the game and predicted Stanford as a major factor in determining the PAC 10 champion.

My rankings:

Rank Week 14
1 Alabama
2 Texas
3 TCU
4 Florida
5 Cincinnati
6 Oregon
7 Boise State
8 Ohio State
9 Virginia Tech
10 Penn State
11 Georgia Tech
12 Oregon State
13 West Virginia
14 Miami (FL)
15 Louisiana State
16 Stanford
17 Nebraska
18 Oklahoma
19 Arizona
20 Texas Tech
21 Arkansas
22 Pittsburgh
23 Nevada
24 BYU
25 Iowa
26 Georgia
27 Utah
28 C Michigan
29 Wisconsin
30 Mississippi

Disclosure: I am a fan of the following (in priority order). 1 - BYU  2 - The Mountain West Conference  3 - Oregon