The SAS System 1 14:02 Thursday, March 19, 2015 The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable shovtime Covariance Structure Variance Components Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Containment Class Level Information Class Levels Values length 4 1 2 3 4 angle 4 1 2 3 4 subject 8 1 2 3 4 5 6 7 8 Dimensions Covariance Parameters 4 Columns in X 25 Columns in Z 72 Subjects 1 Max Obs per Subject 128 Number of Observations Number of Observations Read 128 Number of Observations Used 128 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 821.35662213 1 1 672.22313024 0.00000000 Convergence criteria met. The SAS System 2 14:02 Thursday, March 19, 2015 The Mixed Procedure Covariance Parameter Estimates Cov Parm Estimate subject 52.8597 length*subject 0.6391 angle*subject 0.01819 Residual 13.0762 Fit Statistics -2 Res Log Likelihood 672.2 AIC (Smaller is Better) 680.2 AICC (Smaller is Better) 680.6 BIC (Smaller is Better) 680.5 Solution for Fixed Effects Standard Effect length angle Estimate Error DF t Value Pr > |t| Intercept 82.9500 2.8852 7 28.75 <.0001 length 1 -5.8500 1.8517 21 -3.16 0.0047 length 2 -6.3000 1.8517 21 -3.40 0.0027 length 3 -3.1500 1.8517 21 -1.70 0.1037 length 4 0 . . . . angle 1 -3.0700 1.8093 21 -1.70 0.1045 angle 2 -6.7500 1.8093 21 -3.73 0.0012 angle 3 -2.5500 1.8093 21 -1.41 0.1734 angle 4 0 . . . . length*angle 1 1 1.1200 2.5570 63 0.44 0.6629 length*angle 1 2 -1.1200 2.5570 63 -0.44 0.6629 length*angle 1 3 -2.4000 2.5570 63 -0.94 0.3515 length*angle 1 4 0 . . . . length*angle 2 1 0.07002 2.5570 63 0.03 0.9782 length*angle 2 2 1.3500 2.5570 63 0.53 0.5994 length*angle 2 3 -4.2000 2.5570 63 -1.64 0.1055 length*angle 2 4 0 . . . . length*angle 3 1 -1.9500 2.5570 63 -0.76 0.4485 length*angle 3 2 -1.2000 2.5570 63 -0.47 0.6405 length*angle 3 3 -4.3500 2.5570 63 -1.70 0.0938 length*angle 3 4 0 . . . . length*angle 4 1 0 . . . . length*angle 4 2 0 . . . . length*angle 4 3 0 . . . . length*angle 4 4 0 . . . . The SAS System 3 14:02 Thursday, March 19, 2015 The Mixed Procedure Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F length 3 21 20.81 <.0001 angle 3 21 21.99 <.0001 length*angle 9 63 0.96 0.4791 Least Squares Means Standard Effect length angle Estimate Error DF t Value Pr > |t| length 1 73.4075 2.6639 21 27.56 <.0001 length 2 72.8625 2.6639 21 27.35 <.0001 length 3 74.8325 2.6639 21 28.09 <.0001 length 4 79.8575 2.6639 21 29.98 <.0001 angle 1 75.8650 2.6530 21 28.60 <.0001 angle 2 72.1325 2.6530 21 27.19 <.0001 angle 3 73.8375 2.6530 21 27.83 <.0001 angle 4 79.1250 2.6530 21 29.82 <.0001 length*angle 1 1 75.1500 2.8852 63 26.05 <.0001 length*angle 1 2 69.2300 2.8852 63 24.00 <.0001 length*angle 1 3 72.1500 2.8852 63 25.01 <.0001 length*angle 1 4 77.1000 2.8852 63 26.72 <.0001 length*angle 2 1 73.6500 2.8852 63 25.53 <.0001 length*angle 2 2 71.2500 2.8852 63 24.70 <.0001 length*angle 2 3 69.9000 2.8852 63 24.23 <.0001 length*angle 2 4 76.6500 2.8852 63 26.57 <.0001 length*angle 3 1 74.7800 2.8852 63 25.92 <.0001 length*angle 3 2 71.8500 2.8852 63 24.90 <.0001 length*angle 3 3 72.9000 2.8852 63 25.27 <.0001 length*angle 3 4 79.8000 2.8852 63 27.66 <.0001 length*angle 4 1 79.8800 2.8852 63 27.69 <.0001 length*angle 4 2 76.2000 2.8852 63 26.41 <.0001 length*angle 4 3 80.4000 2.8852 63 27.87 <.0001 length*angle 4 4 82.9500 2.8852 63 28.75 <.0001