The Pot Calling the Kettle Black - American Statistical Association
The Pot Calling the Kettle Black - American Statistical Association
The Pot Calling the Kettle Black - American Statistical Association
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Adjusted Plus/Minus Continued<br />
DIFF = β 0 + β 1X 1 + β 2X 2 + . . . + β KX K + ε, where<br />
• DIFF = home team minus away team points per possession.<br />
• X i = 1 if player i is playing at home, = -1 if player i is playing away,<br />
= 0 o<strong>the</strong>rwise (i.e. if player i is not playing),<br />
• ε = i.i.d. error term,<br />
• β 0 measures <strong>the</strong> average home court advantage across all teams,<br />
• β 1 , β 2 , . . . , β K measure how <strong>the</strong> team point differential changes<br />
when a particular player is on <strong>the</strong> court (relative to <strong>the</strong> reference<br />
players), holding <strong>the</strong> effects of o<strong>the</strong>r players (on both teams)<br />
constant.<br />
– <strong>The</strong> reference players are all players playing less than 250<br />
minutes in a given season.