The SAS System The MEANS Procedure Analysis Variable : shovtime N length angle Obs Mean --------------------------------------------------- 1 1 8 75.1499875 2 8 69.2300000 3 8 72.1500000 4 8 77.1000000 2 1 8 73.6500000 2 8 71.2500000 3 8 69.9000000 4 8 76.6500000 3 1 8 74.7799875 2 8 71.8499875 3 8 72.9000000 4 8 79.7999875 4 1 8 79.8800000 2 8 76.2000000 3 8 80.4000000 4 8 82.9500250 --------------------------------------------------- The SAS System The GLM Procedure Class Level Information Class Levels Values length 4 1 2 3 4 angle 4 1 2 3 4 cook 8 1 2 3 4 5 6 7 8 Number of Observations Read 128 Number of Observations Used 128 The SAS System The GLM Procedure Dependent Variable: shovtime Sum of Source DF Squares Mean Square F Value Pr > F Model 64 8591.284375 134.238818 10.27 <.0001 Error 63 823.799754 13.076187 Corrected Total 127 9415.084128 R-Square Coeff Var Root MSE shovtime Mean 0.912502 4.806089 3.616101 75.24000 Source DF Type I SS Mean Square F Value Pr > F length 3 975.936058 325.312019 24.88 <.0001 angle 3 867.438349 289.146116 22.11 <.0001 length*angle 9 113.281354 12.586817 0.96 0.4791 cook 7 6030.219502 861.459929 65.88 <.0001 length*cook 21 328.280956 15.632426 1.20 0.2862 angle*cook 21 276.128157 13.148960 1.01 0.4701 Source DF Type III SS Mean Square F Value Pr > F length 3 975.936058 325.312019 24.88 <.0001 angle 3 867.438349 289.146116 22.11 <.0001 length*angle 9 113.281354 12.586817 0.96 0.4791 cook 7 6030.219502 861.459929 65.88 <.0001 length*cook 21 328.280956 15.632426 1.20 0.2862 angle*cook 21 276.128157 13.148960 1.01 0.4701 The SAS System The Mixed Procedure Model Information Data Set WORK.SPATULA 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 cook 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 The Mixed Procedure Covariance Parameter Estimates Cov Parm Estimate cook 52.8597 length*cook 0.6391 angle*cook 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 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