Well, it's back to the grind this week, and though I've mainly been working on the fantasy game (to try to get it out well before the playoffs begin), I've also added a small tweak to the player listings. In trying to accurately decide what position a particular player plays, I've taken some information from 82games.com. On that site, they show each player's position percentage played. For example, through the year, Tracy McGrady has played 38% of the Rockets' available minutes at shooting guard, and 25% of the available minutes at small forward. The page also shows McGrady using "0%" of the available minutes at power forward.
To calculate a particular player's position adjustment, I first add a tweak factor of 0.5% to each number. I have found that this does a very good job of reaching 100% for each position on the team. This leaves McGrady's percentages at 38.5% SG, 25.5% SF and 0.5% PF. I extrapolate those numbers to 100%, so for McGrady it would be 59.7% SG, 39.5% SF and .8% PF. Then I take the position adjustments found by regression in The Wages of Wins and calculate a position adjustment. (Scroll down to "Calculating PAWS").
SG 59.7% .128 .076416
SF 39.5% .152 .06004
PF 0.8% .215 .00172
McGrady's new position adjustment is .138, which I think accurately reflects that he plays both shooting guard and small forward, but plays more minutes at shooting guard.
I have shared these thoughts with David Berri, and he seems to be receptive into this way of getting a player's position adjustment. The key is making sure that this automated method gives results that are close enough to the manual method of allocating out a team's minutes by hand. If any of you notice any results that seem strange to you, please leave a comment on this posting, and I'll take a look at them. It's possible that my scripts have missed a player here or there, or that the results are off. But hopefully this will be a good step to making this site closer to representing the Wins Produced formula accurately, so I can positively portray a particular player's position played plus produce a perfecter portrayal of a player's per-game production. Perhaps.
(Points + Rebounds + Steals + ½Assists + ½Blocked Shots – Field Goal Attempts – Turnovers - ½Free Throw Attempts - ½Personal Fouls) / Minutes = Win Score per Minute