The data
We need to figure out:
The expected value in WS for each pick. For example, the first pick turns out to be worth 77 WS on average (explained below).
How much each pick varied from the expected value (Shaq was selected first in 1992 and had 182 WS over his career, so he was a better than average first pick ).
The cumulative difference between expected and actual value for all the picks each franchise made.
Note that this approach doesn’t necessarily test for good outcomes. Charlotte drafted Kobe Bryant 13th in 1996 (173 WS so far) but didn’t get full value for him since they had agreed to trade him right away (for Vlade Divac who produced 54 WS for the rest of his career).
This analysis will have a narrow focus: With the pick each franchise had, what was the difference in expected and actual WS (regardless of what they did later with that player).
Modified WS for younger players
The data set (1990-2009) includes a lot of players who are still playing and thus producing WS. Lets use a multiplier to estimate the career length of every player drafted after 2000. Career length is highly dependent on how good a player is and injuries. We can't predict injuries, but we can estimate longevity based on minutes per game.
- Less than 12 minutes per game for a career = 2.01 seasons.
- More than 12 minutes per game for a career but less than 20 = 5.01 seasons.
- More than 20 minutes per game for a career but less than 25 = 7.59 seasons.
- More than 25 minutes per game for a career but less than 30 = 9.21 seasons.
- More than 30 minutes per game for a career = 10.88 seasons.
Now, Kevin Durant, who was drafted 2nd in 2007, has a Modified WS of 133 instead of his current 73 WS. Once again, this is not a perfect method, but it will help us make comparisons.
This analysis will underestimate WS for superstar players who will have long careers, but we can't see the future (if LeBron is a cyborg, however, a 30 year career seems like a safe bet).
Expected value
Lets figure out the expected value in WS for each pick. A simple average of 20 years of data produces this table.