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Sun, 2 Nov 2003 07:19:29 -0600 |
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Usual disclaimer: proto-KRACH is mostly an academic exercise, since it
makes little sense to rate teams based on so few games.
Now that everybody's played at least one official game, we can include
everybody in the proto-KRACH diagram, and the structure is pretty
manageable by now. Harvard and Brown have only played each other, so
we can't compare them to anyone else. The two other unbeaten, untied
teams (Maine and Dartmouth) are ranked infinitely higher than
everybody else. The four winless, tieless teams (AIC, Princeton,
Yale, and Sacred Heart are at the bottom. The only subtlety is that
Army and Bentley have only beaten or tied each other and AIC, which
puts them in their own group infinitely worse than the main pack and
infinitely better than AIC. Note that in the only games in that
group, Army took three of four points from Bentley, so their KRACH
(for the purposes of that group) is three times Bentley's. The
remaining 48 teams can be assigned finite KRACH ratings on the basis
of games among them.
+---------------+ +---------------+
| Me 100.0 .974 | | Da 100.0 .974 |
+---------------+ +---------------+
| |
V V
+-----------------------------------------------+
| SC 6117 .915 Pv 314.0 .680 HC 35.13 .405 |
| Mi 2088 .863 MD 265.1 .660 Mr 34.95 .405 |
| Wi 976.5 .803 Ck 168.7 .603 Mk 34.42 .403 |
| CC 885.8 .794 Qn 155.2 .592 LS 25.86 .370 |
| Mh 867.8 .792 BG 147.5 .585 AF 23.58 .360 | +---------------+
| BU 844.5 .790 Vt 147.2 .585 SL 23.44 .360 | | Bn 100.0 .509 |
| MT 774.1 .781 AH 119.9 .559 BS 21.66 .351 | +---------------+
| ND 686.0 .769 Mn 104.6 .541 WS 17.36 .329 | |
| NM 640.0 .762 Ni 104.1 .540 Fi 17.16 .328 | V
| MA 561.5 .748 AA 75.28 .499 Ca 13.62 .306 | +---------------+
| NH 426.6 .717 RP 73.98 .496 Cg 9.634 .276 | | Ha 100.0 .491 |
| BC 386.9 .705 Ct 60.61 .471 FS 4.063 .216 | +---------------+
| Nt 381.7 .704 MS 57.14 .464 NE 3.497 .207 |
| DU 366.6 .699 Mm 54.78 .459 WM 3.183 .202 |
| Un 336.1 .689 ML 52.99 .455 Cr 1.061 .157 |
| OS 334.4 .688 Ak 49.22 .445 NO 1.016 .156 |
+-----------------------------------------------+
| | \ \
V | \ \
+---------------+ | \ \
| Ar 173.2 .075 | | \ \
| By 57.74 .066 | V V V
+---------------++---------------++---------------++---------------+
| | Pn 100.0 .061 || Ya 100.0 .061 || SH 100.0 .061 |
V +---------------++---------------++---------------+
+---------------+
| AI 100.0 .044 |
+---------------+
Note that the current ratings predict that Union will take 100% of the
points from Bentley, so if Union wins, all the ratings will remain
exactly the same, while if Bentley gets a win or tie, the Army/Bentley
group will be drawn into the main pack.
John Whelan, Cornell '91
[log in to unmask]
http://www.amurgsval.org/joe/
Enjoy the latest Hockey Geek tools at slack.net/hockey
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