Projected Offensive & Defensive SPM
Using only the per-36-minute statistics predicted by the Simple Projection System, one can estimate Offensive or Defensive Adjusted Plus-Minus with the following regression equations:
Offensive Plus-Minus
Call: lm(formula = OAPM ~ FG + FGA + TP + FT + ORB + AST + STL + TOV + PF) Residuals: Min 1Q Median 3Q Max -5.13794 -1.23187 0.01173 1.09018 7.36712 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -7.73044 0.83793 -9.226 < 2e-16 *** FG 2.14564 0.25874 8.293 1.62e-15 *** FGA -0.71139 0.12815 -5.551 5.12e-08 *** TP 1.85664 0.17997 10.316 < 2e-16 *** FT 0.89362 0.10837 8.246 2.27e-15 *** ORB 0.74030 0.15567 4.756 2.75e-06 *** AST 0.79719 0.08615 9.253 < 2e-16 *** STL 0.69587 0.27083 2.569 0.0105 * TOV -1.75565 0.26956 -6.513 2.17e-10 *** PF -0.25451 0.12843 -1.982 0.0482 * --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 1.881 on 408 degrees of freedom Multiple R-squared: 0.6455, Adjusted R-squared: 0.6377 F-statistic: 82.56 on 9 and 408 DF, p-value: < 2.2e-16 > coef(reg) (Intercept) FG FGA TP FT ORB -7.7304404 2.1456386 -0.7113870 1.8566406 0.8936173 0.7403006 AST STL TOV PF 0.7971895 0.6958691 -1.7556465 -0.2545127
Defensive Plus-Minus
Call: lm(formula = DAPM ~ FGA + ORB + TRB + STL + BLK) Residuals: Min 1Q Median 3Q Max -6.51719 -1.25095 -0.08884 1.25526 7.59415 Coefficients: Estimate Std. Error t value Pr(>|t|) (Intercept) -3.25784 0.68217 -4.776 2.49e-06 *** FGA -0.16815 0.04069 -4.133 4.35e-05 *** ORB -0.90786 0.26579 -3.416 0.000699 *** TRB 0.60231 0.11635 5.177 3.54e-07 *** STL 2.22779 0.29249 7.617 1.80e-13 *** BLK 0.74019 0.21077 3.512 0.000494 *** --- Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 Residual standard error: 2.157 on 412 degrees of freedom Multiple R-squared: 0.2772, Adjusted R-squared: 0.2685 F-statistic: 31.61 on 5 and 412 DF, p-value: < 2.2e-16 > coef(reg) (Intercept) FGA ORB TRB STL BLK -3.2578363 -0.1681474 -0.9078586 0.6023129 2.2277856 0.7401877
Regression was run on the composite offensive and defensive adjusted plus-minus statistics of all players with 1300 or more minutes from 2006-09.