# HABS: Impact of Quality of Competition on Even-strength Risk/reward Ratings

By Kicks @Chrisboucher73
No one system gives us all-encompassing information on a player's value; at least not yet. In a constant effort to improve my player rating system, I've looked into more traditional advanced-stats metrics in order to see if there was anything that could by applied to my system.
Fenwick and Corsi numbers take a global picture of what occurs when a player is on the ice (shots attempted for and against), and uses those numbers to rate individual players. My system tries to take the individual player's puck-possession successes and failures (passes, dekes, puck-battles, etc) with a similar goal in mind.
This is the second attempt at seeing what impact Corsi Relative Quality of Competition numbers would have on player's even-strength risk/reward ratings; I wrote a similar piece in the summer focusing on last year's numbers.
Habs Eye on the Prize's Andrew Berkshire explains Corsi as follows:
Corsi - is a +/- statistic for a player/team that measures all shot attempts, including misses and blocked shots, directed for and against the team/player being measured per 60 minutes.
Andrew explains Corsi Relative Quality of Competition as follows:

Relative Corsi quality of competition - a measure of the average relative Corsi score of the opponents a player faces, weighted against the ice time played against each player

Silversevens.com explains the calculation for Corsi Relative Quality of Competition as follows:
Corsi Rel QoC is the weighted Relative Corsi Number of a player's opponents.For example, if a player plays 30% of the time against five players with a relative corsi of +1.5, 35% of the time against five players with a relative corsi number of +0.2, and 35% of the time against five players with a relative corsi number of -2.1 then:Corsi Rel QoC = (0.3 * 5 * 1.5) + (0.35 * 5 * 0.2) + (0.35 * (5 * (-2.1)) = -1.075The top graph is a visual representation of each Montreal Canadiens even-strength risk/reward rating as calculated using my system, while the graph below that is a visual representation of each player's ES risk/reward rating after including Corsi relative quality of competition into the calculation.   In order for the calculation to work, and for the numbers to make sense, I've divided each Canadiens player's Corsi Rel QoC number by 5. Not only does this help minimize the impact on the original number it also relates better to the reality of my system. Corsi uses team numbers while a player is on the ice. Because of this it multiplies the value by 5 to represent the five skaters on the ice. My system tracks individual events taking place against individual players. As such, it does not need to by multiplied by 5.
The quality of competition numbers used in this calculation can be found here.     DEFENSEMEN
Quality of competition had a substantial impact on 5 Montreal Canadiens defensemen. Two of those players saw their even-strength risk/reward rating improve substantially, while 3 others saw it drop.
Among defensemen with substantial minutes-played, Raphael Diaz faced the highest quality of competition. As such, Diaz saw his risk/reward rating go from to to 1.75 to 1.91. Andrei Markov, Alexei Emelin, and Josh Gorges also saw their ES ratings improve.
Again, focusing on d-men with substantial events, Tomas Kaberle, PK Subban, and Francis Bouillon were all hurt by the inclusion of quality of competition into their risk/reward ratings. Kaberle's rating went from 1.85 to 1.67. This dropped him from third among Habs defensemen to seventh. Subban's rating went from 2.31 to 2.21 (tops among d-men), while Bouillon's dropped from 1.69 to 1.60.
FORWARDS
Quality of competition had a substantial impact on 8 Montreal Canadiens forwards. Four of those players saw their even-strength risk/reward ratings improve, while 4 others saw them drop.
Among forward's with substantial ice-time, Tomas Plekanec's rating went from an already impressive 1.58 to 1.75. Rene Bourque's rating went from 0.85 to 1.17, while Brian Gionta's rating went from 1.33 to 1.48.  Eller (1.82 to 1.93) had the top rating among forwards prior to the inclusion of quality of competition numbers, as well as after their inclusion.
Ryan White and Max Pacioretty both saw their risk/reward ratings drop the most among regularly-used forwards. The inclusion of Quality of competition saw White's rating go from 1.48 to 1.30, while Pacioretty's rating dropped from 1.67 to 1.55; even with the drop, Pacioretty still owns the fourth-best risk/reward rating among forwards with substantial ice-time.
Keep in mind this is only an experiment. I will continue to research other forms of advanced stats in the attempt to find the most realistic and representative results possible.