skip navigation

KRACH Rankings

KRACH is short for “Ken's Rating for American College Hockey.” Ken is Ken Butler, a statistician, and the mathematical model he used is known as the Bradley-Terry Rating System. The system and its details are well documented in great mathematical detail online (see KRACH explanation at Ken Butler's homepage).

The KRACH rating system is an attempt to combine the performance of each team with the strength of the opposition against which that performance was achieved, and to summarize the result as one number, a "rating", for each team. The higher the rating, the better the team.

This system accounts for strength-of-schedule (SOS) as it ranks the teams. 

Teams with equal records and differing SOS can quickly be ranked as a result (i.e. team with stronger SOS is ranked higher than other teams with same record and weaker SOS). 

The ratings are calculated purely from the game results (win, loss or tie), and do not use the goals scored at all. Overtime wins count as wins. Ties, for KRACH's purposes, count as half a win and half a loss.

KRACH only counts games against Minnesota State High School League opponents.

Ice Chips: KRACH is coming! - introduction article by former MGHCA president Bill Halbrehder - 11/18/2011

Brian Goski

North St. Paul native Brian Goski started coaching two decades ago, directly following his playing experience that included being captain at Tartan high school in Oakdale and a four-year collegiate career at Hamline University in St. Paul.

Brian began compiling the KRACH rankings for Minnesota girls' high school hockey in the early 2000s as an extension of his passion for mathematics – namely statistics – and the game of hockey. 
Using his background from work in engineering research capacities and his degree in Mathematics, Goski implemented a version of rankings specifically for girls' hockey using the well-known KRACH ranking algorithm.
Goski coached 15 seasons, with more than 300 games behind the bench for both collegiate and high school teams, before temporarily retiring in 2008 to focus on his engineering career and related management opportunities.  In 2013, Brian returned to coaching as an assistant with his alma mater Tartan HS boys' team.
Goski is currently an engineering R&D manager in the Cardiovascular and Ablation Technologies Atrial Fibrillation Division at St. Jude Medical.  Brian and his wife Melissa (assistant coach at Henry Sibley HS) live in Inver Grove Heights.