What Does It Mean to Draft Perfectly in the NHL?

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What Does It Mean to Draft Perfectly in the NHL? When is Best Player Available not the Best Strategy? Namita Nandakumar Wharton School, University of Pennsylvania @nnstats Vancouver Hockey Analytics Conference 2017

Let s define the status quo. There are 30 NHL teams, ~210 draft picks per year, and amateur players are eligible at age 18. The vast majority of drafted players need one or more years of further development before playing in the NHL. Best Player Available: Picking the best player left on the draft board with each of your team s picks.

But a player s potential career value isn t the only thing that teams care about...

Draft Case Study: Johnny Gaudreau Calgary beat us to the punch. There were people banging their hands on the table, like, Oh, we should have taken him a round earlier. It s a calculated risk. The Flames got Gaudreau in a really good spot. ~ John Weisbrod, former Bruins scout

What s even better than picking good players? Picking good players right before anyone else does. When could your team have picked Johnny Gaudreau? Penguins: 54 th Bruins: 81 st Canucks: 101 st

Estimating when teams will draft players is hard. But knowing everything is easy!

You are a time-traveling GM. You know the value of each player over the course of their career. You know when another team will pick them if you do not. What do you do? Assumptions: You want to optimize the overall value of all your picks. If there s a logjam at some position, you can trade freely and efficiently. Your picks are fixed. No undrafted players. If you want them, sign them later!

Work backwards. Don t pick a player before you have to. Best Player Available Backwards Best Player Available Pick Player PS 2 Benn 55.8 41 Subban 52.8 66 Martinez 27.7 122 Muzzin 24.6 152 Gunnarsson 23.9 161 Hagelin 21.1 182 Braun 21.1 PS: Career Point Shares from hockey-reference.com (through 2015-16) Philadelphia Flyers 2007 Re-Draft Pick Player PS 182 Braun 21.1 161 Gunnarsson 23.9 152 Hagelin 21.1 122 Benn 55.8 66 Martinez 27.7 41 Subban 52.8 2 Pacioretty 46.2

Each team has a different Perfect Draft Value. Perfect Draft Value: sum of optimal picks career values. Having more picks and earlier ones makes your Perfect Draft Value higher. Draft Efficiency: Actual Value Drafted Perfect Draft Value Allows us to compare teams on a more level playing field.

Sample Rank Output for the 2007 Draft

The team rankings look fairly random over the entire period. Drafting is hard. If you focus on smaller intervals, some teams do significantly better than others. No team has managed to do significantly better (or worse) over the 10-year period.

Bad Good Canadiens Average Rank: 15.6 Expected Average Rank of the 20 th Best Team: 15.8 to 17.4 We see minor separation between the top 20 and bottom 10 teams.

Are both of these teams good at drafting? Chicago Blackhawks San Jose Sharks Evaluation Metric NHL Rank Evaluation Metric NHL Rank Total Value Drafted 2 Total Draft Efficiency 6 2+ Round Value Drafted 11 2+ Round Draft Efficiency 15 Total Value Drafted 20 Total Draft Efficiency 16 2+ Round Value Drafted 6 2+ Round Draft Efficiency 4

Summary When teams draft, they care about what other teams do. In the long run, it s hard to draft more efficiently than others. Moving forward, we can construct a relevant draft strategy if we have precise estimates of 1) how valuable a player will be and 2) when they will be drafted. Which is a lot harder.

Special thanks to Professor Shane Jensen of the Wharton Statistics department. Thank you! Any Questions? Check @nnstats on Twitter for slides/writeup/code/data.

Additional Notes

Note: Players can seem suboptimally ordered even when using Best Player Available. A player s outcomes are variable. Here are the draft year stats of an NHL star and a guy who s never played an NHL game: Year Junior Team League GP G A P Who s who? More importantly, will we ever be able to predict these outcomes beforehand?

A quick example: Player A: a big, surefire middle 6 guy. 100% Chance Value = 50 Player B: a tiny, skilled winger. 50% Chance Value = 80 50% Chance Value = 0 E(Value) = 40 If you take A before B, and B turns out to be a star, did you make a bad draft order decision? Nope. This is rational according to expected value.

Note: Valuation metric matters, but not as much as you think. If you use NHL Games Played, you pick someone over Sidney Crosby in the 2005 draft. (I mean, as a lifelong Flyers fan ) Use something like (rescaled) GVT or Point Shares, and then differences of opinion won t change the results that much. Year Team Pick # Optimal Player Optimal Career Point Shares Actual Player Actual Career Point Shares % Value Extracted 2007 Canadiens 12 Shattenkirk 44.7 McDonagh 41.6 93.1%