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November 6, 2009
Howe and Why
Player Contributions

by Robert Vollman

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There are three common themes among hockey statistical analysts. In the beginning, we focus our attention on fixing the plus/minus statistic. After adjusting plus/minus for an assortment of variables, we try to devise an effective defensive measurement. Finally, we attempt to summarize all of a player's contributions into a single statistic. Thanks to Alan Ryder and his Player Contributions rating, in addition to Tom Awad and GVT, I personally never bothered with that third phase.

For those of you not familiar with Ryder and his work at Hockey Analytics, he is one of the top names in this field. On his site you'll find several of his articles, each piece very well researched and in-depth. In 2003, he introduced the first serious attempt at measuring a player's total contribution (offense, defense, etc.) with a single statistic. Player Contribution, or PC for short, is very similar to GVT in both methodology and results, but unlike GVT, PC uses all the currently available statistics, which generally makes it more accurate. The trade-off is that you can't apply PC to different leagues and eras where those statistics are unavailable, so it's meant to be quite specific to modern-day NHL.

Offense

Expect the offensive component of PC, known as PCO, to yield results that are very similar to Offensive GVT. As a very general frame of reference, an average PCO is about 8 times an average Offensive GVT. GVT tends to favor puck-moving defensemen and players with reduced ice-time, whereas PC will favor the shootout artists, and the grittier penalty-drawing players, as shown below.

Legend:

PCO#: Rank under PCO, with the shoot-out component removed

GVT#: Rank under Offensive GVT

Player           PCO# GVT# Diff
Dustin Brown       33  193  160
Cal Clutterbuck   242  400  158
Mike Fisher       255  413  158
Nick Foligno      149  281  132
Jarkko Ruutu      245  363  118
...
Sami Salo         298  199   99
Antti Miettinen   312  210  101
T.J. Hensick      437  327  110
Filip Kuba        262  135  127
Patrice Brisebois 364  232  132

(Minimum 60 games; about 450 such players)

PCO favors checkers and penalty drawers like Brown, Clutterbuck, Foligno and Ruutu, who are valued highly in the PC formula. Alan Ryder explains that "The range of PC adjustments for penalty drawing is generally +/- 10 points. Dustin Brown is the outlier at +20 points. He drew about 20% of all penalties drawn by LA last season. Clutterbuck was +10." Puck-moving defensemen and those that miss a few games, like Salo, Brisebois and Kuba, may get a boost in the GVT approach.

Defense

The big differences between PC and GVT are in the defensive zone. PCD, the defensive component of PC, incorporates penalties to a greater degree than does GVT. Defensive GVT appears to give players on the top scoring lines a relative nudge, in the sense that a good offense is the best defense.

Legend:

PCD#: Rank under PCD

GVT#: Rank under Defensive GVT

Player           PCD# GVT# Diff
Ron Hainsey       21  442  421
Bryce Salvador    89  288  334
Andrej Sekera     92  294  329
Brad Stuart       93  345  309
Kevin Bieksa      70  361  291
...
Evgeni Malkin    381   84  297
Corey Perry      438  133  305
David Backes     441  127  314
Alexander Semin  370   43  327
Blake Wheeler    378   46  332

(Minimum 60 games; 450 such players)

Defensemen who are stay-at-home, or lightly penalized, are cast in a better light in PC, whereas offense-generating forwards like Malkin and Semin look great under GVT's microscope. An average PCD is about 9 times an average Defensive GVT, meaning that there is only a slight preference in how PC will weight a player's defensive contributions overall.

Mike Mottau

To explore the differences in how PC and GVT measure players, consider Mike Mottau of the New Jersey Devils. In 2007-08, his defensive GVT was 0.6, which is pretty weak, but his PCD score of 44.4 was quite good. In 2008-09, his 5-on-5 goal against average improved from 2.14 to 1.68. While Mottau's defensive GVT shot up that year to a very strong 6.7, his PCD score actually dropped to 36.9. What happened?

My first instinct is to look at penalties, because I know PCD takes a very grim view of those who put their team at a disadvantage, but Mottau's discipline was roughly the same both seasons. The explanation? Penalty killing. Mike Mottau was used more regularly killing penalties in 2007-08, and had a sparkling 5.02 goals against average when shorthanded. Compare that with last season, when he was used less frequently and opponents scored at a 9.18 clip. Special teams play a larger role in PC's assessment than GVT, which is why PCD presented Mottau's 2008-09 season as a step back.

Kyle Quincey

Recently, Gabriel Desjardins wrote an article questioning Colorado's decision to use Kyle Quincey in a penalty-killing or defensive role. Let's take a look at coach Joe Sacco's choices.

Legend:

RPM: Relative Plus/Minus

ESGAA: Even-strength goals-against average

SHGAA: Short-handed goals-against average

HIT: Hits per 60 minutes

BkS: Blocked shots per 60 minutes

TkA: Takeaways per 60 minutes

GVT: Defensive GVT per 60 minutes

PCD: Defensive PC per 60 minutes

Defenseman         RPM ESGAA SHGAA HIT BkS TkA   GVT  PCD
Kyle Quincey        +7  2.77  6.96 4.6 3.0 0.7  0.18 0.88
Adam Foote          -7  2.78  7.09 3.9 5.6 1.2  0.02 1.40
Scott Hannan        -9  2.79  7.30 1.9 5.4 0.9  0.08 1.94
Ruslan Salei       +11  2.86  5.85 4.3 5.8 0.7  0.22 0.93
Brett Clark         -4  2.90 10.45 2.6 8.4 0.9  0.11 1.27
John-Michael Liles   0  3.02  9.11 2.2 3.9 0.8  0.10 1.42
Tom Preissing       -4  3.68  5.33 2.4 3.4 0.7 -0.01 0.95

According to GVT, Kyle Quincey is the 2nd best defensive player in the bunch, to only Ruslan Salei. It seems quite reasonable to rank him so highly given how many hits he throws, and his low goals-against averages (granted these were for Los Angeles, not Colorado).

However, PCD paints Colorado's blue line in a different color, ranking Quincey (and Salei) dead last among defenders, preferring instead the likes of Scott Hannan. Why? Partly because of penalties. Quincey earned 1.2 minor penalties per 60 minutes and Salei 1.5, compared with 0.4 for Hannan. Additionally, it is penalty-killing time, of which Hannan got plenty: more than double Salei's and triple Quincey's.

One of Gabriel's primary criticisms of Quincey's defensive abilities is that he was sheltered in Los Angeles, being used only against third or fourth lines. Hannan, by contrast, is someone you often see on the ice when Colorado's opponents have their top lines out. Gabriel's own Quality of Competition statistic attests to that: Hannan was 0.07 while both Salei and Quincey were in the negative. While Ryder can't be as open with his precise calculation methods as he once was, I have to believe that quality of opponents still factor into his calculations, helping put a player like Hannan ahead of someone like Quincey.

Wrap Up

If you look at all of the available statistics, every NHL player seems to have a certain pattern. In my experience, there are only a couple dozen patterns at most, and evaluating a skater statistically involves finding out which pattern applies to them, and then determining to which level they play that role.

Whenever I'm staring at someone's numbers, and having trouble figuring out the pattern, I find Alan Ryder's Player Contributions invaluable to clarifying the situation. PC helped us understand the changes in Mike Mottau's role, and explained the differences between Kyle Quincey and Scott Hannan where other statistics left the matter unclear. Understanding PC is a key part in developing a detailed, in-depth understanding of NHL players and should be part of everyone's statistical arsenal.

Robert Vollman is an author of Hockey Prospectus. You can contact Robert by clicking here or click here to see Robert's other articles.

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