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June 22, 2009
Howe and Why
Projecting Future Scoring

by Robert Vollman

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Why are we so interested in statistics? When our favorite team is considering acquiring a player, fans like us get the urge to look at that players statistics from previous seasons, even though our team is going to get no benefit from those past goals. The answer is simple. What we really care about are his future contributions. His past statistics are only useful in helping us judge what his future will hold.

Let’s go ahead and do just that. Here are the statistics of a real player. Based on this information, how many points will this player score for our favorite team next season? For argument’s sake, scribble something down.

               GP  G  A PTS PIM 
Mystery Player 82 35 32  67  86 

If you guessed fewer than 94 points, you got it wrong. This is Jarome Iginla of the Calgary Flames two seasons ago. Don’t feel badly because this just as easily could have been any of the following players, none of whom could have been expected to score that many points.


                           GP    G      A    PTS      PIM                   
Miroslav Satan   2005-06   82    35    31    66        54    
Mike Knuble      2005-06   82    34    31    65        80    
Bobby Schmautz   1973-74   76    33    32    65        89    
Bill Goldsworthy 1970-71   77    34    31    65        85
Miroslav Satan   2006-07   81    27    32    59        46
Mike Knuble      2006-07   64    24    30    54        56
Bobby Schmautz   1974-75   56    21    30    51        63
Bill Goldsworthy 1971-72   78    31    31    62        59

It is quite understandable that you would be blowing the whistle right now! Jarome Iginla was having an off season. Everyone knows he’s not a 65-point man like Satan or Knuble. We need more information if we want to make predictions. If I had included the previous season’s information, you would have known if 67 points was a typical season or an outlier season. Let’s look at another mystery player, and this time I will give you that extra information about his previous season:

 
                  GP  G  A PTS PIM         GP  G  A PTS PIM 
Mystery Player #2 77 31 43  74  38 Before: 75 36 41  77  38 

Does the extra information help us make a more accurate prediction of how many points he will score next season for our favorite team? Judging from his previous season, this player clearly was not having a particularly strong or weak season. Take a guess at what his next season will look like. Scribble down another number.

If you guessed anything less than 54 goals and 123 points you were wrong again. Mystery Player #2 is Jaromir Jagr of the New York Rangers during the 2003-04 season. Again, you really should not feel badly because your prediction would have been quite accurate had I actually been thinking of one of the following players instead.


                      GP  G  A PTS PIM        GP  G  A PTS PIM 
Jean Ratelle  1969-70 75 32 42  74  28 Before 75 32 46  78  26 
Ivan Boldirev 1978-79 79 35 43  78  31 Before 80 35 45  80  34 
Dave Poulin   1984-85 73 30 44  74  59 Before 73 31 45  76  47 
Brian Bellows 1991-92 80 30 45  75  41 Before 80 35 40  75  43

That was probably frustrating because the league changed the rules in between seasons, opening up the ice. However, even if it had not, we still know that Jagr is in a different league than Poulin and Bellows. What additional information would make it easier for us to feel more confident with our predictions? Looking at the entire career history of a player would help us. With this information, it would be easier to determine if we were dealing with a young player on his way into his prime, or an established veteran playing out his twilight seasons.


               GP   G   A  PTS PIM 
Jaromir Jagr  950 506 729 1235 212 
Jean Ratelle  408 122 173  295  90 
Ivan Boldirev 522 163 239  402 301 
Dave Poulin    75  33  45   78  49 
Brian Bellows 673 312 335  647 496 

It would have helped to have studied this table in advance of our hastily scribbled guesses. With this information I’m sure it would have been much easier to predict that one of these players was more than your typical 75 point forward. The main reason we study statistics is to help us understand the past so that we can predict the future. We feel most confident when basing those predictions on a larger sample. Armed with current statistics, previous season’s statistics and career totals, we can predict the next season and the rest of the player’s career.

Stock market analysts do the same thing all the time. They examine various company statistics, and search their vast databases for similar companies in the past, and then use the future performance of those similar companies to help establish the future expectations for that company. There is no reason for not being able to do the same thing with hockey players. Here at Puck Prospectus, we're going to be doing this a lot, much in the vein of PECOTA, KUBIAK, or SCHOENE.

By applying a formula that creates a Similarity Score between players, we should be able to find the paths that all but the most unique players have traveled before, and then see where those paths led. They should help set reasonable expectations, along with both the best and worst case scenarios.I have chosen Jason Spezza of the Ottawa Senators for an example. First, we take a look at the readily available statistics we have discussed:


Jason Spezza   GP  G   A PTS PIM 
2007-08        76 34  58  92  66 
2006-07        67 34  53  87  45 
All Preceding 246 82 171 253 157 



Then, we create a Similarity Score formula derived from these simple statistics, including points per game, penalty minutes per game, and playmaker ratio (assists per goal). Finally, we apply this formula to every player for every season throughout the NHL’s entire 90 year history to find the 10 most comparable players. Here is how they performed the following season, and the rest of their careers.


                       GP  G  A PTS PIM   GP   G   A  PTS  PIM 
Doug Gilmour   1988-89 72 26 59  85  44 1028 290 740 1030 1001 
Jaromir Jagr   1994-95 48 32 38  70  37  962 521 759 1280  709 
Andy Bathgate  1959-60 70 26 48  74  28  686 211 408  619  354 
Andy Bathgate  1963-64 71 19 58  77  34  406  93 210  303  206 
Bernie Federko 1982-83 75 24 60  84  24  592 208 473  681  290 
Neal Broten    1987-88 54  9 30  39  32  662 123 320  443  310 
Rene Robert    1976-77 80 33 40  73  46  381 135 205  340  271 
Sergei Makarov 1992-93 71 18 39  57  40  194  58  91  149  158 
Bobby Smith    1981-82 80 43 71 114  82  858 271 515  786  781 
Sergei Fedorov 1993-94 82 56 64 120  34  966 375 519  894  579 
Average                70 29 51  79  40  674 229 424  653  466 

  

It’s that simple, assuming you have a basic understanding of stats, a database of statistics, and modern analysis tools! If our favorite team is considering trading for Jason Spezza, we can easily get an idea of what we can expect from him in the future using only basic statistics.

I will leave you with two questions to ponder until next time. First, if we went beyond the simple statistics and looked at shooting percentage, plus/minus, average time on the ice or power play point totals, would that help us make our predictions? Remember that these statistics weren’t always available, so we would be forfeiting several decades of NHL History. For instance, plus/minus and shots were not officially recorded until the 1967-68 season.

Secondly, notice Sergei Makarov on that list. He was 34 years old going into the 1992-93 season, hardly an appropriate match for the 25 year-old Spezza. What happened? Makarov didn’t join the NHL until he was 31 years old. But what if we could translate his history in the Russian league with CSKA Moscow? Stay tuned!

This article was originally published on March 2, 2009 at Puck Prospectus. During the off-season, we're working on new projects and also want to give some of you a chance to see this important work for the first time.

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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<< Previous Article
Numbers On Ice (06/19)
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Howe and Why (04/09)
Next Column >>
Howe and Why (06/25)
Next Article >>
NHL Equivalencies (06/23)

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