The SAS System 1 08:49 Tuesday, December 8, 2015 The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable points Covariance Structure Unstructured Subject Effect player_id Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values player_id 20 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Dimensions Covariance Parameters 4 Columns in X 2 Columns in Z per Subject 2 Subjects 20 Max Obs per Subject 34 Number of Observations Number of Observations Read 645 Number of Observations Used 645 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 4145.05812234 1 4 4095.94898817 0.00019617 2 1 4095.52773889 0.00003353 3 1 4095.44363250 0.00001281 4 1 4095.41086625 0.00000611 5 1 4095.39504372 0.00000327 6 1 4095.38652215 0.00000187 7 1 4095.38161110 0.00000113 The SAS System 2 08:49 Tuesday, December 8, 2015 The Mixed Procedure Iteration History Iteration Evaluations -2 Res Log Like Criterion 8 1 4095.37864666 0.00000070 9 1 4095.37679625 0.00000249 10 1 4095.37334588 0.00000008 11 1 4095.37323202 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Subject Estimate UN(1,1) player_id 4.5994 UN(2,1) player_id 0.2242 UN(2,2) player_id 0 Residual 32.0250 Fit Statistics -2 Res Log Likelihood 4095.4 AIC (Smaller is Better) 4101.4 AICC (Smaller is Better) 4101.4 BIC (Smaller is Better) 4104.4 Null Model Likelihood Ratio Test DF Chi-Square Pr > ChiSq 2 49.68 <.0001 Solution for Fixed Effects Standard Effect Estimate Error DF t Value Pr > |t| Intercept 16.0218 0.5257 19 30.48 <.0001 cminutes 0.5692 0.03169 19 17.96 <.0001 The SAS System 3 08:49 Tuesday, December 8, 2015 The Mixed Procedure Solution for Random Effects Std Err Effect player_id Estimate Pred DF t Value Pr > |t| Intercept 1 4.7710 0.8433 605 5.66 <.0001 cminutes 1 0.1639 0 605 Infty <.0001 Intercept 2 1.7740 0.8352 605 2.12 0.0341 cminutes 2 0.03133 0 605 Infty <.0001 Intercept 3 1.7446 0.9334 605 1.87 0.0621 cminutes 3 0.1111 0 605 Infty <.0001 Intercept 4 1.9872 0.9893 605 2.01 0.0450 cminutes 4 0.1914 0 605 Infty <.0001 Intercept 5 1.2346 0.8986 605 1.37 0.1700 cminutes 5 -0.1023 0 605 -Infty <.0001 Intercept 6 0.4955 0.9947 605 0.50 0.6186 cminutes 6 0.02954 0 605 Infty <.0001 Intercept 7 0.3047 1.0854 605 0.28 0.7790 cminutes 7 0.05107 0 605 Infty <.0001 Intercept 8 1.8944 1.0573 605 1.79 0.0737 cminutes 8 0.3057 0 605 Infty <.0001 Intercept 9 0.01196 0.8141 605 0.01 0.9883 cminutes 9 -0.1368 0 605 -Infty <.0001 Intercept 10 -0.1744 0.9926 605 -0.18 0.8606 cminutes 10 0.05264 0 605 Infty <.0001 Intercept 11 0.3500 1.0501 605 0.33 0.7390 cminutes 11 0.03798 0 605 Infty <.0001 Intercept 12 -1.2186 0.9857 605 -1.24 0.2168 cminutes 12 -0.03894 0 605 -Infty <.0001 Intercept 13 -1.8500 0.9346 605 -1.98 0.0482 cminutes 13 -0.00117 0 605 -Infty <.0001 Intercept 14 -1.1411 0.9632 605 -1.18 0.2366 cminutes 14 -0.06351 0 605 -Infty <.0001 Intercept 15 -1.0058 0.9987 605 -1.01 0.3143 cminutes 15 -0.1306 0 605 -Infty <.0001 Intercept 16 -1.2026 1.0305 605 -1.17 0.2437 cminutes 16 0.02933 0 605 Infty <.0001 Intercept 17 -1.8482 0.9965 605 -1.85 0.0641 cminutes 17 -0.1390 0 605 -Infty <.0001 Intercept 18 -2.0689 0.9752 605 -2.12 0.0343 cminutes 18 -0.1922 0 605 -Infty <.0001 Intercept 19 -1.3859 1.0314 605 -1.34 0.1795 cminutes 19 -0.05448 0 605 -Infty <.0001 Intercept 20 -2.6725 0.9577 605 -2.79 0.0054 cminutes 20 -0.1450 0 605 -Infty <.0001 The SAS System 4 08:49 Tuesday, December 8, 2015 The Mixed Procedure Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F cminutes 1 19 322.50 <.0001