A Theory on NHL Defenseman Metrics
This article is going to postulate a theory with respect to establishing the inherent value of a defenseman, and further more try to establish a rudimentary scale for grading such players. For hockey fans interested in some interpretative analysis, buckle up because this should be a doozy. It’s also an attempt to explain why your favorite hockey team signs washed up Senators defenseman who make opponents forwards look a combination of Gordie Howe and Wayne Gretzky.
When Michael Lewis wrote Moneyball, he introduced the world to sabermetric theories as Billy Beane applied them to the Oakland Athletics. The specialized analysis that Beane used to find undervalued players allowed him to remain competitive in a market where his teams would be completely over-matched by opposition resources.
With the new NHL salary cap, all teams are theoretically on an even playing field. No team (I’m looking at you Rangers) can use its financial resources to dominate the free agent market with its advantage in revenue. This places a premium in scouting and statistical analysis, which is an area where I feel the NHL is at a distinct disadvantage. Although some people, like Gabe Desjardins at Behind the Net have applied sabermetric principles to hockey, overall the sport is severely lacking in quantifiable data. His research takes into account the quality of play, which is something I’m not quite sure how to apply; Perhaps an “average shots by opposing players” stat? Theoretically, there’s no reason why we can’t grade defense.
Defense is the position on the ice where there is the least amount of quantifiable data regarding a players effectiveness. For forwards (although assists, and to a smaller extent goals are a team dependent stat,) there is at least a method to determine the value of a player. However, in the defensive sphere, the only stat that can be found is hits and blocked shots, which would be like tracking a pitcher’s usefulness by his curveball’s speed.
What I’m proposing is an additional metric to grade defenseman. Frankly, I’m not sure this is a stat that the NHL itself would be interested in keeping at first. From a scouting perspective, though it would seem when investing limited resources into players the clubs could assign some of their scouts to track this metric with respect to potential targets (For example, Mark Streit versus Wade Redden) or draftees (like Victor Hedman), in order to get an idea of how much a player is worth on the open market. If something like this caught on, perhaps the NHL could eventually assign its official scorers to track the play of defensemen over the course of the night, but the financial implications would prove difficult if immediacy was required. If grading players based on tape , this endeavor would become much more feasible
The first part in establishing a metric is determining the true goal of a defenseman. I’m proposing that the first, primary goal of a defenseman is to eliminate shots from his quadrant of the ice. Viewing the amateur graphic below, I’ve divided the ice into segments. Essentially, in Segments 1 and 12, the defenseman’s primary goal should be to eliminate high-quality shots, with the oval in the center being both partners areas. Blocked shots and contested shots also have to be factored in. Offensively, I believe that the goal of the defenseman, should be keeping the puck in the zone, and preventing breakaways. Assists also are the mark of a solid defenseman, and should be given weight in any scoring metric. The neutral zone regions theoretically are the least important, but will be acknowledged in the “preventing breakaways” category.

The problem with using +/- is that those are team-specific stats, like RBIs and runs in baseball. No matter how well you’re playing your position, if a poor goalie or attack is paired with you, your +/- is going to significantly suffer. What this metric would attempt to do is isolate the defenseman as much as possible, in the absence of a supporting cast. Takeaways obviously would hold an increased value, as well as pinning an opponent away from your end of the ice.
I do acknowledge that teams with weaker defensive forwards would be penalized somewhat in this, but I’m not sure any way exists to prevent that (I’m open to ideas). What I’m trying to do is extract scoring and goalie performance from how defenseman are viewed, and for now this seems like the most efficient way to do that.
The primary use of the data would be, in the tradition of the A’s, to find undervalued defenseman in a capped league. Accordingly, I’m proposing the following scoring system as an additional way to grade defensemen.
* Uncontested Shot -3
* Contested Shot -1
* Give Up Breakaway -5
* Giveaway – 2
* Giveaway in Defensive Responsibility Zone -5
* Blocked Shot +3
* Takeaway +5
* Successful Pin/Check (opposing team loses puck) +1
* Successful Outlet Pass +1
* Assist +3
* Goal +3
Obviously this is still rudimentary, but I’d love to hear any other hockey fan’s thoughts.
Tags: defenseman, first derivative, firstderivative is a dork, geekfest, nhl, sabermetrics, stats
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Pam
Interesting. Seems like it would be difficult to catalog during an entire game (and season), but I guess some of those baseball stats are equally complicated. I’m thinking this would tell the Rangers that yes, Wade Redden sucks (and never was anything special). Hell, it would probably tell me what I already know – that Mike Mottau is fucking horrible.
Maybe have this only apply to even strength or the penalty kill? The powerplay is kind of a different skill set.
FirstDerivative
Agreed, I do feel that this is more of an even strength metric.
Power play would provide increased weight to offensive (i.e keep ins/assists); and further penalize breakaways.
It’s only a theory for now.
Afino
I really don’t get dividing the rink into segments unless you’re going to have some sort of multiplier or additional weight to certain ones.
Obviously, if you’re defending down at the 1/12 end, why should a pinching d-man get the same amount of points for causing a turnover in say, zone 5 than he should for a blocked shot in zone 1?
Afino
Ignoring the fact that they’re not the same point value to begin with. Dumbass.
Just replace “blocked shot” with “turnover”.
FirstDerivative
@afino-thats also why I want feedback, I’m not quite sure what multipliers should be used
wraparoundcurl
I get the flaws in the plus/minus stat. But I think it is a bit useful. The nerd in me wonders if you put the +/- on a standard deviation or a bell curve if that could tell you anything trend wise. Or even a plus minus vs a specific team. I have no idea if this is even doable or if I just want psychotic stats.
FirstDerivative
@wraparoundcurl – I think +/- is useful, but it doesn’t tell a complete story (analogous to OBP in baseball – I want VORP as well). I’m trying to figure out a way to isolate the defenseman from the goalie (hence why a goal isn’t any worse than an uncontested shot) and scorers. I don’t think my standard is perfect, but I want to use it as a launching point.
wraparoundcurl
Right and I get that. I mean I have had this argument with people when they would compare Dustin Tokarski and Chet Pickard. Tokarski faced a ton more shots and still held the better numbers. Yet Pickard seemed to be applauded while facing fewer shots while having a higher GAA and lower saves. I tend to obsess a bit more over goalie numbers than defense. Even then I know the numbers don’t tell the whole story and it’s open to interpretation.
FirstDerivative
Precisely. I’m dubbing it the “Redden Rule” because he inspired this whole thing. It seriously came out of many nights wondering why does he suck so hard.
Hawerchuk
I’m unclear on where your numbers come from. Giving up a breakaway is worth ~0.3 goals; an uncontested shot is worth something like 0.09 to 0.13, depending on where it came from. So the proportions seem a little off.
My other concern is that you’ve over-complicated a simple question: all other things being equal, which defenseman gives up the fewest goals? We already know who does it for things not equal (ie – ignoring opponents, linemates and quality of goaltending.) So I would hope that a push for the holy grail of defensive stats would take the raw numbers and adjust for those differences – before we got to counting types of events.
FirstDerivative
@Hawerchuk – I did simplify the proportions to keep whole numbers intact, but again this is literally a first draft of a formula. I would like to refine it. I think the question is a little more complex. Essentially, using baseball as the backdrop, every event is calculated into probability, the end result isn’t important with certain metrics – just the statistical mean of that event (specifically, what AVM systems did for the A’s). If you’d like, shoot me an email and I’d be very interested in discussing this further.
Cheers,
FD
Teebz
There are some defencemen who won’t fit into the Sabremetrics for obvious reasons. How would a Scott Niedermayer, who played rover for most of the playoffs, fit into the scheme? How does a defenceman like Ian White, who takes regular shifts at forward, fit in?
The beauty of the baseball Sabremetric analysis is that there is a distinct separation between offence and defence so there is never a question as to statistical outcome. What one may view as an uncontested shot in hockey simply could be the goaltender screaming at a defenceman to move out of the way so he can see the shot clearly. A contested shot that results in a deflection for a goal-against could hurt a player big-time in the grand scheme of things, particularly if his team is eliminated from the playoffs because of it.
Penalties also have to be taken into account in this system. If you have a guy like Shane O’Brien who racks up stupid penalties all game, but the Canucks bails him out, he shouldn’t be rewarded for making the rest of his team work harder for his stupidity. But, on the other hand, if a guy like Lidstrom takes a holding penalty while tying up a guy with a wide-open net and the Wings kill off the penalty, Lidstrom should be rewarded for his penalty. He saved a goal whereas O’Brien’s penalty did nothing but handicap his team.
The variables in hockey are far different than the variables in baseball. I don’t think it’s anywhere as close to being “black-and-white” as baseball makes it to be. I am curious in hearing more theories, though. Great post!
)
ogie
I like the idea, but what about taking into account the quality of the team they are defending against. Surely taking the puck away from someone like Ovechkin should be rewarded more than taking away from Colton Orr.
FirstDerivative
For a season long stat, perhaps a +/- multiplier depending on how much percent of the time you were on against lines 1-4?
Afino
Big day for you, 1stD.
Featured on Puck Daddy’s links and I linked to you on Mirtle yesterday.
FirstDerivative
I saw Afino, I don’t have your email can you shoot me one from my link?
Melt Your Face Off » Blog Archive » The 2nd Annual NHL Lasties
[...] First Derivative would like to get all statistical and come up with a certifiable way to let you know who sucks at defense. Until he does, we’ll just go with our best hunch. Brendan Witt sucks at defense. [...]
Jeff P
Another thought. giving up a shot in hockey is not necessarily a bad thing. The purpose of a defenseman is not to just not give up shots, but depending on the situation and coach, the point of defense is to make the guy shoot instead of drive deeper and make a move, or make a pass. Giving up a clear long distance shot is not a problem, the goalie is supposed to be able to stop that.
That aside, your best bet for something like this is the Corsi rating, which is simpler but can be tracked much more easily. It’s the shots towards the net (doesn’t have to be a SoG) minus the shots towards your net while you’re on the ice, so if you shoot once and block a shot you have a +1 rating.
That puts Redden at a 7.9, for 10th on the Rangers. That compares to Gomez’s 16.2.
You might find this interesting:
http://www.behindthenet.ca/2008/basic_5_on_5.php?sort=9&mingp=&mintoi=&team=&pos=
Stuff like this already exists, it just takes knowing where it is.
FirstDerivative
@Jeff P – Yeah, I checked out Corsi, and if you see I linked up to behindthenet- It’s way better analysis than most stuff out there. I should have specified, my fault, the only shots that count against you as a Dman are those in your zone – anything from the point is NOT your responsibility. I also don’t think Corsi takes into account turnovers, breakaways, and things that a defenseman is a rule responsible for.
Teebz
FD, I posted a formula on my site after thinking about this all weekend. Take a look, and let me know what you think.
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