Here are the standings in the ECAC with one game remaining:
 
                             ECAC                      Ivy
                   W- L-T  PF-PA-PR   Pct     W-L-T  PF-PA-PR   Pct
 1 Yale           16- 4-1  33- 9- 2  .786     7-2-1  15- 5- 0  .750
 2 Clarkson       15- 4-2  32-10- 2  .762
 3 RPI            11- 6-4  26-16- 2  .619
 4 Brown          11- 9-1  23-19- 2  .548     5-5-0  10-10- 0  .500
 5 Colgate         9- 9-3  21-21- 2  .500
 6 Cornell         9-11-1  19-23- 2  .452     6-4-0  12- 8- 0  .600
   Princeton       7- 9-5  19-23- 2  .452     4-5-1   9-11- 0  .450
   Harvard         9-11-1  19-23- 2  .452     3-5-1   7-11- 2  .389
 9 Dartmouth       7-11-3  17-25- 2  .405     2-6-1   5-13- 2  .278
   Vermont         7-11-3  17-25- 2  .405
11 St. Lawrence    7-12-2  16-26- 2  .381
12 Union           4-15-2  10-32- 2  .238
 
I think I've worked out all the tiebreakers, which are summarized in
this chart; if team B's abbreviation appears in UPPERCASE in team A's
row, then team A wins the tiebreaker; if it's lowercase, team A loses.
So for instance, Yale loses the tiebreaker to Clarkson.
 
Yale    -- ck                                Yale
Clrk    YA --                                Clrk
RPI           --                             RPI
Brwn             -- CG                       Brwn
Colg             bn -- cr PR ha              Colg
Corn                CG -- PR HA DA VT        Corn
Prin                cg cr -- HA DA vt        Prin
Harv                CG cr pr -- DA vt        Harv
Dart                   cr pr ha -- VT SL     Dart
UVM                    cr PR HA da -- SL     UVM
SLU                             da vt --     SLU
Unin                                     --  Unin
 
These are the two-team tiebreakers.  In three cases, the tiebreaker
results are changed if a third team is involved:
 
Princeton *wins* the tiebreaker with Vermont if Dartmouth and Harvard
also finish tied with them.  (Since Dartmouth plays Harvard,
if one of them finishes with 19 points, they both will.)
 
Dartmouth *wins* the tiebreaker with Harvard if Vermont also finishes
ties with them.
 
Princeton *wins* the tiebreaker with Colgate if Harvard also finishes
tied with them.
 
These exceptions can be summarized as
 
Prin>Dart>UVM>Harv
Dart>UVM>Harv
Prin>Harv>Colg
 
(Cornell may also be involved in the first two ties, but we know they
winn all of their tiebreakers.)
 
        This means that the magic numbers of points for each team to
beat each other team are:
 
             Ya Ck RP Bn Cg Cr Pn Ha Da Vt SL Un
Yale  33- 9  -- 2  0  0  0  0  0  0  0  0  0  0  Yale
Clrk  32-10  3  -- 0  0  0  0  0  0  0  0  0  0  Clrk
RPI   26-16  xx xx -- 0  0  0  0  0  0  0  0  0  RPI
Brwn  23-19  xx xx xx -- 0  0  0  0  0  0  0  0  Brwn
Colg  21-21  xx xx xx xx -- 1  0+ 1  0  0  0  0  Colg
Corn  19-23  xx xx xx xx 4  -- 2  2  0  0  0  0  Corn
Prin  19-23  xx xx xx xx 5- 3  -- 2  0  1- 0  0  Prin
Harv  19-23  xx xx xx xx 4  3  3  -- 0+ 1  0  0  Harv
Dart  17-25  xx xx xx xx xx xx xx 5- -- 2  1  0  Dart
UVM   17-25  xx xx xx xx xx xx 4+ 3  3  -- 1  0  UVM
SLU   16-26  xx xx xx xx xx xx xx xx 4  4  -- 0  SLU
Unin  10-32  xx xx xx xx xx xx xx xx xx xx xx -- Unin
             Ya Ck RP Bn Cg Cr Pn Ha Da Vt SL Un
 
For instance, Yale's magic number with Clarkson is 2, so they need a
win, a Clarkson loss, or a pair of ties to wrap up the regular season
title.  The +es and -es are just those cases where involvement of
other teams can change the outcome of a tiebreaker.  So Princeton's
magic number with Vermont is 1, unless Dartouth beats Harvard, in
which case it's zero.
 
The magic numbers and head-to-head results at
        http://www.slack.net/~whelan/cgi-bin/tbrw.cgi?nutshell
have been updated.  I may put the tiebreakers up there as well.
 
                                         John Whelan, Cornell '91
                                     Official Scorer/PA Announcer
                                        U of Utah Ice Hockey Club
                                               <[log in to unmask]>
                      <http://www.cc.utah.edu/~jtw16960/joe.html>
 
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