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May 29, 2009
Numbers On Ice
To Normalize Or Not To Normalize

by Tom Awad

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During the 1994 playoffs, Brian Leetch was a wonder to behold. He led the playoffs in scoring with 34 points, had a +19 rating and led the New York Rangers to their first Stanley Cup in 54 years. In fact, Leetch’s performance was so impressive that it is the greatest playoff performance by a non-goaltender in NHL history, just ahead of Wayne Gretzky’s 47-point performance in 1985 and Henrik Zetterberg’s Conn Smythe winning playoffs in 2008.

Huh?

While Zetterberg was certainly excellent during the 2008 playoffs, surely it’s a stretch to consider that he put in the third-best playoff performance of all time, no? Yet that’s what the numbers were telling me, so clearly the numbers were wrong. To find out why they were wrong, it’s useful to back up a bit.

Normalizing for the playoffs

This problem first jumped in my face when I posted the list of recent playoff GVT leaders in my column two weeks ago. For my readers’ benefit, here it is again:

Name	           Team	     P  Season  GP    G/GAA  A/GA  Pts/SA +-/Sv   GVT
Mario Lemieux	   Penguins  F  90_91   23.0  16.00  28	   44     14.000  13.1
Mario Lemieux	   Penguins  F  91_92   15.0  16.00  18	   34	   6.000  12.5
Patrick Roy	   Canadiens G  92_93   21.6   2.13  46	  647	   0.929  21.2
Kirk McLean	   Canucks   G  93_94   25.7   2.29  59	  820	   0.928  20.8
Martin Brodeur	   Devils    G  94_95   20.4   1.67  34	  463	   0.927  19.6
John Vanbiesbrouck Panthers  G  95_96   22.2   2.25  50	  735	   0.932  22.8
Eric Lindros	   Flyers    F  96_97   19.0  12.00  14	   26	   7.000  14.6
Olaf Kolzig	   Capitals  G  97_98   22.5   1.95  44	  784	   0.944  25.5
Dominik Hasek	   Sabres    G  98_99   20.3   1.77  36	  587	   0.939  21.1
Ed Belfour	   Stars     G  99_00   24.1   1.87  45	  651	   0.931  16.5
Patrick Roy	   Avalanche G  00_01   24.2   1.70  41	  622	   0.934  24.8
Peter Forsberg	   Avalanche F  01_02   20.0   9.00  18    27	   8.000  16.0
J.S. Giguere	   Ducks     G  02_03   23.4   1.62  38	  697	   0.945  32.3 
Jarome Iginla	   Flames    F  03_04   26.0  13.00   9	   22	  13.000  18.4
Dwayne Roloson	   Oilers    G  05_06   19.3   2.33  45	  618	   0.927  20.7
Daniel Alfredsson  Senators  F  06_07   20.0  14.00   8	   22	   4.000  15.8 
Marc-Andre Fleury  Penguins  G  07_08   20.9   1.97  41	  610	   0.933  19.3

Do you see the problem? Mario Lemieux’s two great playoff seasons sit dead last among the single-season GVT leaders, miles behind, among others, Jarome Iginla’s MVP-caliber performance in 2004. Granted, scoring was higher during the 1991 playoffs, 3.22 goals per game compared to 2.12 in 2004, but still! I checked the list of top forwards and defensemen in the playoffs:

Best playoff seasons by a forward or defenseman

			
   Name	             Team	P  Season  GP	G/GAA  A/GA  Pts/SA  +-/Sv GVT
1  Brian Leetch	     Rangers	D  93_94  23	11     23    34	     19	   20.0
2  Wayne Gretzky     Oilers	F  84_85  18	17     30    47	     28	   19.6
3  Henrik Zetterberg Red Wings	F  07_08  22	13     14    27	     16	   18.4
4  Jarome Iginla     Flames	F  03_04  26	13	9    22	     13	   18.4
5  Brad Richards     Lightning	F  03_04  23	12     14    26	      5	   17.3
6  Petr Sykora	     Devils	F  00_01  25	10     12    22	     15	   16.7
7  Peter Forsberg    Avalanche	F  01_02  20	9      18    27	      8	   16.7
8  Joe Sakic	     Avalanche	F  00_01  21	13     13    26	      6	   16.5
9  Paul Coffey	     Oilers	D  84_85  18	12     25    37	     26	   16.0
10 Joe Sakic	     Avalanche	F  95_96  22	18     16    34	     10	   15.8
11 Daniel Alfredsson Senators	F  06_07  20	14	8    22	      4	   15.8
12 Mark Messier	     Rangers	F  93_94  23	12     18    30	     14	   15.7
13 Martin St. Louis  Lightning	F  03_04  23	9      15    24	      6	   15.6
14 Patrik Elias	     Devils	F  00_01  25	9      14    23	     11	   15.6
15 Cory Stillman     Hurricanes	F  05_06  25	9      17    26      12	   15.3
16 Marian Hossa	     Penguins	F  07_08  20	12     14    26	      8	   15.1
17 Brian Rafalski    Devils	D  00_01  25	7      11    18	     10	   14.9
18 Reggie Leach	     Flyers	F  75_76  16	19	5    24	      0	   14.9
19 Wayne Gretzky     Oilers	F  83_84  19	13     22    35	     18	   14.8
20 Eric Lindros	     Flyers	F  96_97  19	12     14    26	      7	   14.6

Fully 12 of these 20 seasons were in the last 8 years, and Mario is nowhere to be seen. Something was amiss here, and I knew what it was: I was normalizing incorrectly. How exactly do you normalize?

Normalizing for the regular season

In 1945, Maurice Richard became the first player to score 50 goals in a season. In 1953, his rival Gordie Howe nearly matched him by scoring 49 goals during the year. In 1982, Marcel Dionne scored 50 goals, reaching the 50-goal plateau for the 5th time in his career. Finally, this year, Alexander Ovechkin led the entire NHL with 56 goals.

All four of these players scored about 50 goals. Which one of these performances is the most impressive?

Obviously, we understand that goal scoring must be placed in the context of scoring levels and schedule length. Richard scored his 50 goals in only 50 games, but he did so in a watered-down league that was allowing 3.68 GPG (Goals Per Game). Howe’s performance came in 70 games, but at a scoring level of 2.40 GPG. Dionne scored his 50 goals during the highest-scoring year in league history, an 80-game schedule featuring 4.01 GPG, while Ovechkin got the longest schedule of all at 82 games, though he was in a league that only scored 2.85 GPG. After adjusting, Howe’s 49 goals become 82, the highest total of the four, Richard’s become 76, Ovechkin’s become 67 and Dionne only 44.

Everyone understands how to normalize during the regular season, but people rarely do it. Whenever a player is being discussed for the Hall of Fame, his career goals are always brought up, as if such a number can be discussed in a vacuum. Many players from the 80s who have been under consideration in recent years have benefited from their inflated totals (Cough! Glenn Anderson! Cough!).

Normalizing for the playoffs is even harder. One element, goals per game, is easy to take into account. However, what is the “schedule length” of the playoffs?

Several years ago, when I first applied GVT to the playoffs, I tried to come up with a method that was as fair as possible. My premise was the following: during the regular season, by normalizing for schedule length and scoring levels, each player gets the same opportunity to accumulate GVT. Therefore, in the playoffs, each player should have the chance, on average, to accumulate the same as well. The way to do this was to normalize the total number of games in the playoffs by the number of teams in the league, and I brought this back to an average of 7 games per team, which has been about the historical average of playoff length in the NHL.

In 1991, there were 184 games played on total in the playoffs (92 games * 2 teams), and there were 21 teams in the league, so Mario’s 1991 playoffs were normalized by 7 * 21 / 184 = 0.80. By contrast, during the 2004 playoffs, there were 178 games played, but 30 teams in the league, so Iginla’s 2004 numbers were normalized by 7 * 30 / 178 = 1.18.

Now some of my readers may find this idiotic, but in fact from a career point of view this makes perfect sense. In a 30-team league, you will make the playoffs less often than in a 21-team league, and you will go deep into the playoffs less often (good luck putting up big career playoff numbers if you don’t play for the Red Wings). However, from a single-season point of view, this normalization is wrong, and the reason is sample size.

Some people consider Terry Sawchuk’s 1952 playoffs, where he allowed 5 goals in 8 games (on 229 shots!) to be the greatest playoff performance of all time. I respectfully disagree. While Sawchuk’s play was no doubt phenomenal, and his save percentage of 0.978 otherworldly, he only kept it up for 8 games. Jean-Sebastien Giguere managed a save percentage of 0.945 over 23 games in 2003, which is better in my book. While a player’s level of play during a 50-game regular season is probably a good indicator of what he would have put up over 80 games, it’s clearly a stretch to take an 8-game playoff and extrapolate that to 20 games. Is it fair to Sawchuk that he never got to show his stuff over four seven-game series? No, but that’s life. We can only judge him on the data we have. So if Mario played in 23 games in 1991 and Iginla 26 games in 2004, then that’s what we’ll count.

Plugging the new numbers in, here is what we get:

Best playoff seasons by a forward or defenseman

						
   Name	             Team	P  Season  GP   G   A	Pts	+-/	GVT
1  Brian Leetch	     Rangers	D  93_94   23	11  23	34	19	18.5
2  Wayne Gretzky     Oilers	F  84_85   18	17  30	47	28	17.3
3  Mario Lemieux     Penguins	F  90_91   23	16  28	44	14	15.9
4  Joe Sakic	     Avalanche	F  95_96   22	18  16	34	10	14.7
5  Mark Messier	     Rangers	F  93_94   23	12  18	30	14	14.7
6  Brad Richards     Lightning	F  03_04   23	12  14	26	 5	14.5
7  Jarome Iginla     Flames	F  03_04   26	13   9	22	13	14.4
8  Paul Coffey	     Oilers	D  84_85   18	12  25	37	26	14.4
9  Wayne Gretzky     Kings	F  92_93   24	15  25	40	 6	14.0
10 Henrik Zetterberg Red Wings	F  07_08   22	13  14	27	16	14.0
11 Pavel Bure	     Canucks	F  93_94   24	16  15	31	 8	13.7
12 Mario Lemieux     Penguins	F  91_92   15	16  18	34	 6	13.6
13 Joe Sakic	     Avalanche	F  00_01   21	13  13	26	 6	13.5 
14 Wayne Gretzky     Oilers	F  83_84   19	13  22	35	18	13.5
15 Peter Forsberg    Avalanche	F  01_02   20	 9  18	27	 8	13.4
16 Martin St. Louis  Lightning	F  03_04   23	 9  15	24	 6	12.9
17 Eric Lindros	     Flyers	F  96_97   19	12  14	26	 7	12.9
18 Wayne Gretzky     Oilers	F  87_88   19	12  31	43	 9	12.6
19 Al MacInnis	     Flames	D  88_89   22	 7  24	31	 6	12.6
20 Petr Sykora	     Devils	F  00_01   25	10  12	22	15	12.5

Much better! Mario takes his rightful place in 3rd, while Zetterberg’s superb 2008 season still shows up in 10th place overall. Granted, this list is still dominated by players, from the 80s and later, when the playoffs got longer, but that is only normal.

There are several morals to this story. One is that when a schedule is short, you cannot normalize for schedule length. The other is that numbers must always pass a “feel” test: if numbers don’t feel right, find out why. Maybe they really are telling you something you don’t know, or maybe they are flawed.

2009 Conn Smythe Watch

   Name	             Team	P      GP   	Val OG	Val D	Total
1  Sidney Crosby     Penguins	F      17.0	8.8	1.5	10.3
2  Evgeni Malkin     Penguins	F      17.0     8.5	0.6	 9.1
3  Johan Franzen     Red Wings	F      16.0	5.2	1.0	 6.1
4  Henrik Zetterberg Red Wings	F      16.0	4.7	1.0	 5.8
5  Chris Osgood	     Red Wings	G      16.5	5.0	0.0	 5.0
6  Daniel Cleary     Red Wings	F      16.0	3.3	1.7	 4.9
7  Bill Guerin	     Penguins	F      17.0	3.3	1.4	 4.6
8  Nicklas Lidstrom  Red Wings	D      14.0	3.4	1.0	 4.5
9  Eric Staal	     Hurricanes	F      18.0     3.7	0.3	 4.0
10 Martin Havlat     Blackhawks	F      16.0	3.4	0.5	 3.9
11 Sergei Gonchar    Penguins	D      15.0	2.9	0.8	 3.7
12 Brent Seabrook    Blackhawks	D      17.0	2.6	0.8	 3.3
13 Jonathan Toews    Blackhawks	F      17.0	2.9	0.4	 3.3
14 Patrick Kane	     Blackhawks	F      16.0	3.7    -0.4	 3.3
15 Valtteri Filppula Red Wings	F      16.0	2.2	1.0	 3.2

This will be the last time you will be seeing the Hurricanes or Blackhawks players here; as befits two teams that mostly dominated their respective conference finals, the Penguins and Red Wings players dominate the top of the list as well. I have filtered out players from teams that have already been eliminated, although Jonas Hiller and Alexander Ovechkin would still rank 1st and 4th if they were included.

Should the Penguins lose in the final, we will likely end up with yet another situation like those I described two weeks ago where the best player in the playoffs played for the finalist rather than the winner. Barring a complete domination of the series by Detroit or an insane final from somebody like Franzen or Osgood, it’s likely that Crosby or Malkin will be deserving of the Conn Smythe regardless of the series result.

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

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