Tuesday, January 16, 2007
NFL Draft Slotting
Phil Birnbaum points to an article here with a cool chart that assigns a value to each draft slot. If you work it out, it basically becomes a logarithmic function that looks like this:
value of 1st pick is: EXP(7.5) = 1939
value of 2nd pick is: EXP(7.5*.995) = 1867
value of 3rd pick is: EXP(7.5*.995^2)=1798
Or, in short: EXP(7.5*(.995^(pick-1))), where EXP() is the Excel function, which is a constant close to 2.718. The ln of e = 1.
It works well except for the first 3 or 4 picks, as the NFL gives a premium over and above this quick function. Whether the NFL is right, or the quick function is a better tool, is subject for someone else to research. In any case, I prefer quick functions to carrying around a table with 224 entries.
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Rany also had a wonderful series of articles last year on Baseball Prospectus. Philly over at Sons of Sam Horn also had a sensational set of articles.
What I would be interested in is a study correlating draft players bonuses with their production. Because I think what gets lost in the whole discussion of how much a player is worth is the cost of signing him originally. In fact if the draft market is efficient once you combine bonuses and adjust for real and salary inflation you should get the same dollars per marginal win as you get from free agents.