# Team Rankings with Strength of Schedule and Home Ice included

I have put together a spreadsheet which compares all teams league wide.
Rating:
5/5,
1. For statisticians....

I have put together a spread sheet which compares all teams league wide with a Bradley-Terry comparison model. Details of the model can be found here:

http://sites.stat.psu.edu/~drh20/papers/bt.pdf
or, less mathematical rigor on either USCHO or Collegehockeynews.com, where the model is called KRACH, and some math is explained on the site.

Basically, it works like this:
Assume every team has a Power#. We will this P(1) - P(31) for all the teams. These number are such that the odds of Team(1) beating Team(2) on neutral ice are found by:
P(1)/(P(1) + P(2)).
If it were possible to find such numbers, then one could simply replay the entire year's schedule using these number, and add up all those odds for every game, and one would get the current standings.

There are 2 problems with applying this to NHL:
1- The OT system
2- Home ice.

In the first link, above, there is a mathematical discussion of extending the model to home-ice, which I have done. And, about the OT system, my technique in dealing with this matter is to normalize each teams point total so that the sum of standings points over the whole league equals 2 pts/game.

Results (as of games played 2/26)
 WEST EAST VGK 160.75 TBL 162.78 NAS 156.83 BOS 141.25 WPG 142.55 TOR 129.27 MINN 120.26 PHL 112.62 SJS 107.25 WAS 110.96 DAL 107.01 PIT 110.58 LAK 103.98 NJD 96.3 ANA 103.11 CMB 89.25 CGY 102.86 FLO 85.52 STL 101.21 NYI 81.66 COL 99.89 CAR 79.76 CHI 75.48 DET 72.9 EDM 69.31 NYR 67.82 VAN 62.96 MTL 61.21 ARZ 48.29 OTT 57.75 BUF 49.68