# Quantifying players' impact on teammate shooting percentage

Eric T.
July 17 2012 08:39AM

One recurring source of debate is the question of how much a playmaker improves his linemates' shooting percentage.

Just asking whether some players repeatedly post high on-ice shooting percentages is not digging deep enough. Every year, the Canucks have an above-average shooting percentage during the minutes that Henrik Sedin is on the ice, but how much of that is because he individually shot for a high percentage, how much is because he played with teammates who are skilled at taking dangerous shots, and how much is because he actually helped his teammates' shooting?

I previously took a semi-quantitative look at this, listing some of the best playmakers in the game and how their various linemates shot with and without them. In this article, we'll revisit that analysis and attempt to work out more precisely how large of an effect there might be.

## Henrik Sedin: a shot quality king

Four years' worth of 5-on-5 data were collected, from the 2008-09 season to the 2011-12 season. For any given player, we can collect all of the shots his linemates took when he was on the ice. We can calculate what the expected shooting percentage for that group is (see example calculation below). We know what the actual shooting percentage was, and the difference between the two would be taken as the boost that player provided to his teammates' shooting percentage.

Over this period, he was on the ice for 656 shots by Daniel Sedin, 425 shots by Alexandre Burrows, 173 shots by Alexander Edler, 147 shots by Kevin Bieksa, and so on. Since Daniel Sedin shot 11.9% over this period, we would expect him to have 0.119 * 656 = 78 goals; we would expect Burrows (and his 15.3% shooting) to have 0.153 * 425 = 65 goals, and so forth.

Run through the whole list of everyone Sedin played with over the four-year span and you find that you'd expect to have 217 goals on 2273 shots, which works out to 9.5% shooting. They actually scored 245 goals, on 10.7% shooting, so when playing with Sedin their shooting percentage was bumped up by 1.2%. When you add in Sedin's own shots, that improves the shooting a little more to 299 goals on 2643 shots, 11.3%. The result is the following breakdown of Sedin's on-ice shooting percentage:

League average shooting over this span: 8.2%
Boost from playing with strong linemates: +1.3%
Boost from adding in Sedin's own high shooting percentage: +0.6%
Boost from Sedin's playmaking skills: +1.2%
Total: Sedin's on-ice shooting percentage: 11.3%

Over four years, Sedin's individual shooting percentage added 14 goals, playing with good-shooting linemates added 30 goals, and his playmaking skills added 28 goals.

We can compare those shot quality-related results to his impact on shot totals. The Canucks got 48.9% of the shots with him off the ice and 53.6% of the shots with him on the ice, so his impact on shot differential resulted in an extra 409 shots, or 46 goals, comparable to his individual shooting and impact on teammate shooting combined.

## Everyone else

I started with Sedin because his consistently high PDO (shooting percentage plus save percentage) makes him a favorite example for those who argue that shot quality is important. Let's take a look at some of the other leaders in assists over this time period and the per-year impact of various factors:

 Player Expected sh% for his teammates Quality of teammates impact (goals/year) Teammates' actual sh% Playmaking skills impact (goals/year) H. Sedin 9.6% +7.5 10.8% +7.0 Crosby 8.5% +1.1 10.6% +8.0 Malkin 9.1% +3.6 10.3% +5.5 Backstrom 9.4% +5.9 10.1% +3.4 Getzlaf 9.5% +6.4 9.7% +1.5 Thornton 8.5% +1.8 8.7% +1.4 St. Louis 9.7% +7.0 10.4% +3.5 Datsyuk 8.0% -0.9 9.1% +5.3 B. Richards 9.5% +4.5 10.6% +4.5 Ovechkin 9.1% +3.7 9.9% +3.9 Average 9.1% +4.1 10.0% +4.5

Top-end playmakers can boost their teammates' shooting percentage by something like 1%, good for an extra 5 goals or so per year. That is certainly significant, although it is clear that neglecting the impact of playing with good shooters can lead to overestimating how significant the shot quality factor is by roughly 2x.

I also wanted to look at some players who were good but not great, so I went to the second page of assist leaders and took the top 10 guys who were with the same team for the whole period (which makes the with-or-without-you analysis easier):

 Player Expected sh% for his teammates Quality of teammates impact (goals/year) Teammates' actual sh% Playmaking skills impact (goals/year) J. Staal 8.4% +0.6 8.3% -0.2 Franzen 8.2% +0.0 8.6% +1.5 Hudler 7.6% -1.8 7.4% -0.8 Legwand 7.4% -3.3 7.7% +1.2 T. Ruutu 8.0% -0.6 8.8% +2.9 Backes 8.0% -1.0 8.5% +2.3 Dubinsky 8.3% +0.3 8.7% +1.7 Hartnell 8.5% +1.3 9.2% +3.3 Horcoff 8.0% -0.5 7.8% -0.8 Okposo 7.7% -1.5 7.5% -0.7 Average 8.0% -0.7 8.2% 1.0

Now you can see why it is often presumed that on-ice shooting percentages will regress to the mean in the long run. This is not a list of superstars, but they are quality players who averaged nearly 30 assists per 82 games. Yet on average they boosted their teammates' shooting percentage by just 0.2%. Given that the standard deviation on their four-year on-ice shooting percentage is about 0.6%, we can't really identify any of these players as having any real impact on their teammates' shooting percentages.

And this returns us to the reason many statistical analysts focus on shot differential rather than shooting percentages. Four years' worth of data is enough to identify the truly high-end shooting talents, but for the vast majority of players we can wait until the end of their careers and still not know for sure whether a high on-ice shooting percentage reflected anything other than random chance. It is very difficult to look at this list of top-6 forwards' collectively negligible impact on shooting percentage and believe that the Maple Leafs' consistently high shooting percentage with puck-averse Luke Schenn on the ice is due to any particular talent that he possesses.

These ten players see their teams get an extra 2.2% on average of the shots with them on the ice. That works out to about 47 shots per year, or 4.0 goals per year. This second tier of skill players gets four times as much benefit from driving possession as from driving shooting percentage -- nearly as much as the elite players get from driving shooting percentages. And when we go looking for players with possession talent, we can identify a lot more players with a lot more confidence than we can for shooting talent.

For a very small number of elite playmakers, the ability to drive shooting percentage can be a major component of their value. For the vast majority of the league, driving possession is a more significant and more reproducible path to success.

## Recently by Eric T.

Eric T. writes for NHL Numbers and Broad Street Hockey. His work generally focuses on analytical investigations and covers all phases of the game. You can find him on Twitter as @BSH_EricT.