protoKRACH

[jtwcornell91]

Including games of 2006 October 27:

[Beeeej]

...FIGHT!

[dietlbomb]

Sorry to sound ignorant, but can you link to a description of how to read that chart?  I read the KRACH background on TBRW, but maybe I'm too hungover to apply the knowledge.

[KeithK]

Bah... my attempted explanation was getting garbled so I'll let John write it.  Short version - there aren't enough games to link all teams in one ranking. Within a bubble you can rank. If two bubbles are connected by an arrow, all of the teams in the higher bubble are all ranked higher than all in the lower bubble. But you can't say anything to compare some teams. Example; we can't say whather COrnell is better or worse than Maine.

[jtwcornell91]

Keith's short explanation just about says it.  The one thing to note is that teams in a bubble on the "higher" side of an arrow are "infinitely better" than teams in the "lower" bubble.  E.g., Cornell's HHWP vs Merrimack is 1.000 at the moment.

Oh, and the two numbers adjacent to each team's abbreviation are the "group KRACH" (only valid for comparison with other teams in the same bubble) and the predicted round-robin winning percentage (RRWP) with all undefined HHWPs (e.g., Cornell vs Clarkson) treated as .500.

[David Harding]

That's a  very interesting way to present the situation.  Thank you.

[KeithK]

[quote David Harding]That's a  very interesting way to present the situation.  Thank you.[/quote]Almost entirely meaningless at this point if what you want to know is who is really the better team.  But in an abstract mathematical sense it's pretty cool.

[jtwcornell91]

Last night's results really consolidated things:

[jtwcornell91]

Now that most teams are in one group, we can almost quote a "traditional" KRACH.  The one thing we lose in this table is that Maine's infinite rating is infinitely higher than Minnesota's, but they're both incomparable with Cornell's and Yale's.  (Although if you look closely you can actually infer that from the RRWPs.)

1. Maine         (6-0-0, KRACH=∞, RRWP=.966)
2. Cornell       (2-0-0, KRACH=∞, RRWP=.957)
3. Yale          (2-0-0, KRACH=∞, RRWP=.957)
4. Minnesota     (6-1-0, KRACH=∞, RRWP=.948)
5. Mass-Amherst  (2-1-1, KRACH=27112, RRWP=.861)
6. Clarkson      (4-1-1, KRACH=15457, RRWP=.834)
7. Boston Coll   (4-1-0, KRACH=15104, RRWP=.833)
8. North Dakota  (5-3-0, KRACH=12457, RRWP=.822)
9. Michigan Tech (5-1-0, KRACH=11739, RRWP=.819)
10. Lake Superior (4-2-0, KRACH=11695, RRWP=.818)
11. Notre Dame    (5-1-0, KRACH=9243, RRWP=.804)
12. Ohio State    (2-4-0, KRACH=8849, RRWP=.802)
13. Northern Mich (4-3-1, KRACH=6696, RRWP=.784)
14. Wisconsin     (3-3-2, KRACH=6421, RRWP=.782)
15. New Hampshire (2-2-0, KRACH=4299, RRWP=.755)
16. MSU-Mankato   (2-4-0, KRACH=2152, RRWP=.707)
17. Vermont       (2-2-1, KRACH=1173, RRWP=.662)
18. St Cloud      (2-2-0, KRACH=1090, RRWP=.657)
19. Minn-Duluth   (2-2-2, KRACH=941.9, RRWP=.646)
20. Miami         (6-2-0, KRACH=635.6, RRWP=.614)
21. AK-Anchorage  (2-2-2, KRACH=565.4, RRWP=.605)
22. Denver U      (4-4-0, KRACH=551.9, RRWP=.603)
23. Michigan      (4-2-0, KRACH=480.2, RRWP=.592)
24. NE-Omaha      (3-1-2, KRACH=444.0, RRWP=.586)
25. Northeastern  (2-3-1, KRACH=360.0, RRWP=.569)
26. Boston Univ   (2-1-1, KRACH=328.9, RRWP=.562)
27. Mass-Lowell   (2-2-2, KRACH=328.3, RRWP=.562)
28. CO College    (3-4-1, KRACH=315.7, RRWP=.558)
29. RPI           (1-1-2, KRACH=292.8, RRWP=.553)
30. AK-Fairbanks  (4-1-1, KRACH=271.0, RRWP=.547)
31. Dartmouth     (1-0-0, KRACH undefined, RRWP=.509)
32. Quinnipiac    (2-2-1, KRACH=158.6, RRWP=.506)
33. Harvard       (0-1-0, KRACH undefined, RRWP=.491)
34. Colgate       (3-2-1, KRACH=123.6, RRWP=.489)
35. Union         (2-1-2, KRACH=57.46, RRWP=.438)
36. Niagara       (3-4-1, KRACH=18.10, RRWP=.362)
37. Mich State    (3-1-0, KRACH=16.62, RRWP=.356)
38. Air Force     (3-5-0, KRACH=13.19, RRWP=.339)
39. Bentley       (2-2-1, KRACH=11.17, RRWP=.327)
40. Western Mich  (2-4-0, KRACH=10.76, RRWP=.324)
41. Ferris State  (3-5-0, KRACH=7.680, RRWP=.298)
42. Bowling Green (2-3-1, KRACH=7.666, RRWP=.298)
43. Robert Morris (1-3-0, KRACH=7.223, RRWP=.293)
44. Bemidji State (0-3-1, KRACH=6.034, RRWP=.279)
45. RIT           (3-3-1, KRACH=4.056, RRWP=.247)
46. Princeton     (0-1-1, KRACH=3.724, RRWP=.241)
47. Providence    (1-4-1, KRACH=3.652, RRWP=.239)
48. St Lawrence   (2-3-0, KRACH=2.947, RRWP=.222)
49. Brown         (0-0-1, KRACH=2.313, RRWP=.203)
50. Merrimack     (1-4-1, KRACH=2.313, RRWP=.203)
51. AL-Huntsville (2-5-1, KRACH=1.608, RRWP=.176)
52. Holy Cross    (2-3-0, KRACH=1.581, RRWP=.175)
53. Sacred Heart  (2-3-1, KRACH=1.125, RRWP=.152)
54. Army          (3-2-1, KRACH=1.014, RRWP=.145)
55. Canisius      (1-6-0, KRACH=.6895, RRWP=.121)
56. Wayne State   (1-5-0, KRACH=.5535, RRWP=.109)
57. Mercyhurst (2-4-0, KRACH=.5081, RRWP=.105)
58. Connecticut   (1-5-0, KRACH=.2232, RRWP=.070)
59. American Intl (0-5-0, KRACH=0, RRWP=.017)

[Beeeej]

Er, I know Daylight Saving Time just ended and all, but it's still October, John.  ::doh::

[jtwcornell91]

[quote Beeeej]Er, I know Daylight Saving Time just ended and all, but it's still October, John.  ::doh::[/quote]

October is when the group relationships are most interesting.  Everyone's KRACH is finite by late November, long before the ratings make a whole lot of sense.

[Will]

Just out of curiosity, what are you using to generate those images, John?

[jtwcornell91]

[quote Will]Just out of curiosity, what are you using to generate those images, John?[/quote]

GraphViz, specifically the perl interface GraphViz.pm 2.02.

[Molly]

Err, try again...  :-P

Re: protoKRACH including games of 2006 Nov 28

[jtwcornell91]

[quote Molly]Err, try again...  :-P

Re: protoKRACH including games of 2006 Nov 28

[/quote]

Oops, thanks. ::help::