The GLM Procedure Class Level Information Class Levels Values machine 3 1 2 3 person 6 1 2 3 4 5 6 Number of observations 54 The GLM Procedure Dependent Variable: score Sum of Source DF Squares Mean Square F Value Pr > F Model 17 3423.688333 201.393431 217.81 <.0001 Error 36 33.286667 0.924630 Corrected Total 53 3456.975000 R-Square Coeff Var Root MSE score Mean 0.990371 1.612031 0.961577 59.65000 Source DF Type III SS Mean Square F Value Pr > F machine 2 1755.263333 877.631667 949.17 <.0001 person 5 1241.895000 248.379000 268.63 <.0001 machine*person 10 426.530000 42.653000 46.13 <.0001 The GLM Procedure Source Type III Expected Mean Square machine Var(Error) + 3 Var(machine*person) + Q(machine) person Var(Error) + 3 Var(machine*person) + 9 Var(person) machine*person Var(Error) + 3 Var(machine*person) The GLM Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: score Source DF Type III SS Mean Square F Value Pr > F machine 2 1755.263333 877.631667 20.58 0.0003 person 5 1241.895000 248.379000 5.82 0.0089 Error 10 426.530000 42.653000 Error: MS(machine*person) Source DF Type III SS Mean Square F Value Pr > F machine*person 10 426.530000 42.653000 46.13 <.0001 Error: MS(Error) 36 33.286667 0.924630 Dependent Variable: score Tests of Hypotheses Using the Type III MS for machine*person as an Error Term Source DF Type III SS Mean Square F Value Pr > F machine 2 1755.263333 877.631667 20.58 0.0003 Tests of Hypotheses Using the Type III MS for machine*person as an Error Term Contrast DF Contrast SS Mean Square F Value Pr > F machine 1 vs. 2 1 571.210000 571.210000 13.39 0.0044 machine 2 vs. 3 1 318.622500 318.622500 7.47 0.0211 machine 1 vs. 3 1 1743.062500 1743.062500 40.87 <.0001 The Mixed Procedure Model Information Data Set WORK.BAL Dependent Variable score Covariance Structure Variance Components Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values machine 3 1 2 3 person 6 1 2 3 4 5 6 Dimensions Covariance Parameters 3 Columns in X 4 Columns in Z 24 Subjects 1 Max Obs Per Subject 54 Observations Used 54 Observations Not Used 0 Total Observations 54 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 332.28862259 1 1 215.68756801 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Estimate person 22.8584 machine*person 13.9095 Residual 0.9246 Fitting Information Res Log Likelihood -107.8 Akaike's Information Criterion -110.8 Schwarz's Bayesian Criterion -110.5 -2 Res Log Likelihood 215.7 The Mixed Procedure Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F machine 2 10 20.58 0.0003 Contrasts Num Den Label DF DF F Value Pr > F machine 1 vs. 2 1 10 13.39 0.0044 machine 2 vs. 3 1 10 7.47 0.0211 machine 1 vs. 3 1 10 40.87 <.0001 Least Squares Means Standard Effect machine Estimate Error DF t Value Pr > |t| machine 1 52.3556 2.4858 8.52 21.06 <.0001 machine 2 60.3222 2.4858 8.52 24.27 <.0001 machine 3 66.2722 2.4858 8.52 26.66 <.0001 Differences of Least Squares Means Standard Effect machine _machine Estimate Error DF t Value Pr > |t| machine 1 2 -7.9667 2.1770 10 -3.66 0.0044 machine 1 3 -13.9167 2.1770 10 -6.39 <.0001 machine 2 3 -5.9500 2.1770 10 -2.73 0.0211 The GLM Procedure Class Level Information Class Levels Values machine 3 1 2 3 person 6 1 2 3 4 5 6 Number of observations 44 The GLM Procedure Type I Estimable Functions ----Coefficients---- Effect machine Intercept 0 machine 1 L2 machine 2 L3 machine 3 -L2-L3 person 1 -0.0833*L2-0.0952*L3 person 2 0.0476*L3 person 3 -0.0833*L2-0.0238*L3 person 4 0.0476*L3 person 5 0.0833*L2-0.0238*L3 person 6 0.0833*L2+0.0476*L3 machine*person 1 1 0.0833*L2 machine*person 1 2 0.1667*L2 machine*person 1 3 0.0833*L2 machine*person 1 4 0.1667*L2 machine*person 1 5 0.25*L2 machine*person 1 6 0.25*L2 machine*person 2 1 0.0714*L3 machine*person 2 2 0.2143*L3 machine*person 2 3 0.1429*L3 machine*person 2 4 0.2143*L3 machine*person 2 5 0.1429*L3 machine*person 2 6 0.2143*L3 machine*person 3 1 -0.1667*L2-0.1667*L3 machine*person 3 2 -0.1667*L2-0.1667*L3 machine*person 3 3 -0.1667*L2-0.1667*L3 machine*person 3 4 -0.1667*L2-0.1667*L3 machine*person 3 5 -0.1667*L2-0.1667*L3 machine*person 3 6 -0.1667*L2-0.1667*L3 Type I Estimable Functions -------------------Coefficients------------------- Effect person Intercept 0 machine 1 0 machine 2 0 machine 3 0 person 1 L5 person 2 L6 person 3 L7 person 4 L8 person 5 L9 person 6 -L5-L6-L7-L8-L9 machine*person 1 1 0.2164*L5+0.0077*L6+0.0172*L7+0.0077*L8-0.0026*L9 machine*person 1 2 0.0214*L5+0.2647*L6+0.0286*L7+0.0147*L8-0.008*L9 machine*person 1 3 0.014*L5+0.0081*L6+0.1833*L7+0.0081*L8-0.0038*L9 machine*person 1 4 0.0214*L5+0.0147*L6+0.0286*L7+0.2647*L8-0.008*L9 machine*person 1 5 0.0315*L5+0.0183*L6+0.0375*L7+0.0183*L8+0.3665*L9 The GLM Procedure Type I Estimable Functions -------------------Coefficients------------------- Effect person machine*person 1 6 -0.3048*L5-0.3137*L6-0.2952*L7-0.3137*L8-0.3441*L9 machine*person 2 1 0.2147*L5-0.0024*L6+0.0029*L7-0.0024*L8+0.007*L9 machine*person 2 2 0.0268*L5+0.3667*L6+0.0001*L7-0.0083*L8+0.0166*L9 machine*person 2 3 0.0244*L5-0.004*L6+0.3382*L7-0.004*L8+0.0116*L9 machine*person 2 4 0.0268*L5-0.0083*L6+0.0001*L7+0.3667*L8+0.0166*L9 machine*person 2 5 0.0174*L5-0.008*L6-0.0035*L7-0.008*L8+0.2635*L9 machine*person 2 6 -0.3101*L5-0.3441*L6-0.338*L7-0.3441*L8-0.3153*L9 machine*person 3 1 0.5689*L5-0.0054*L6-0.0201*L7-0.0054*L8-0.0044*L9 machine*person 3 2 -0.0482*L5+0.3685*L6-0.0287*L7-0.0065*L8-0.0086*L9 machine*person 3 3 -0.0384*L5-0.0042*L6+0.4784*L7-0.0042*L8-0.0078*L9 machine*person 3 4 -0.0482*L5-0.0065*L6-0.0287*L7+0.3685*L8-0.0086*L9 machine*person 3 5 -0.0489*L5-0.0103*L6-0.0341*L7-0.0103*L8+0.37*L9 machine*person 3 6 -0.3851*L5-0.3423*L6-0.3668*L7-0.3423*L8-0.3406*L9 Type I Estimable Functions -------------Coefficients-------------- Effect machine*person Intercept 0 machine 1 0 machine 2 0 machine 3 0 person 1 0 person 2 0 person 3 0 person 4 0 person 5 0 person 6 0 machine*person 1 1 L11 machine*person 1 2 L12 machine*person 1 3 L13 machine*person 1 4 L14 machine*person 1 5 L15 machine*person 1 6 -L11-L12-L13-L14-L15 machine*person 2 1 L17 machine*person 2 2 L18 machine*person 2 3 L19 machine*person 2 4 L20 machine*person 2 5 L21 machine*person 2 6 -L17-L18-L19-L20-L21 machine*person 3 1 -L11-L17 machine*person 3 2 -L12-L18 machine*person 3 3 -L13-L19 machine*person 3 4 -L14-L20 machine*person 3 5 -L15-L21 machine*person 3 6 L11+L12+L13+L14+L15+L17+L18+L19+L20+L21 The GLM Procedure Dependent Variable: score Sum of Source DF Squares Mean Square F Value Pr > F Model 17 3061.743333 180.102549 206.41 <.0001 Error 26 22.686667 0.872564 Corrected Total 43 3084.430000 R-Square Coeff Var Root MSE score Mean 0.992645 1.560754 0.934111 59.85000 Source DF Type I SS Mean Square F Value Pr > F machine 2 1648.664722 824.332361 944.72 <.0001 person 5 1008.763583 201.752717 231.22 <.0001 machine*person 10 404.315028 40.431503 46.34 <.0001 The GLM Procedure Source Type I Expected Mean Square machine Var(Error) + 2.6115 Var(machine*person) + 0.1569 Var(person) + Q(machine) person Var(Error) + 2.5866 Var(machine*person) + 7.219 Var(person) machine*person Var(Error) + 2.3162 Var(machine*person) The GLM Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: score Source DF Type I SS Mean Square F Value Pr > F machine 2 1648.664722 824.332361 16.86 0.0003 Error 11.782 575.896673 48.880560 Error: 0.0217*MS(person) + 1.1032*MS(machine*person) - 0.1249*MS(Error) Source DF Type I SS Mean Square F Value Pr > F person 5 1008.763583 201.752717 4.48 0.0212 Error 9.9549 448.464565 45.049580 Error: 1.1167*MS(machine*person) - 0.1167*MS(Error) Source DF Type I SS Mean Square F Value Pr > F machine*person 10 404.315028 40.431503 46.34 <.0001 Error: MS(Error) 26 22.686667 0.872564 Dependent Variable: score Tests of Hypotheses Using the Type I MS for machine*person as an Error Term Source DF Type I SS Mean Square F Value Pr > F machine 2 1648.664722 824.332361 20.39 0.0003 Tests of Hypotheses Using the Type I MS for machine*person as an Error Term Contrast DF Contrast SS Mean Square F Value Pr > F machine 1 vs. 2 1 343.682667 343.682667 8.50 0.0154 machine 2 vs. 3 1 253.472000 253.472000 6.27 0.0312 machine 1 vs. 3 1 1229.414902 1229.414902 30.41 0.0003 The GLM Procedure Class Level Information Class Levels Values machine 3 1 2 3 person 6 1 2 3 4 5 6 Number of observations 44 The GLM Procedure Dependent Variable: score Sum of Source DF Squares Mean Square F Value Pr > F Model 17 3061.743333 180.102549 206.41 <.0001 Error 26 22.686667 0.872564 Corrected Total 43 3084.430000 R-Square Coeff Var Root MSE score Mean 0.992645 1.560754 0.934111 59.85000 Source DF Type III SS Mean Square F Value Pr > F machine 2 1238.197626 619.098813 709.52 <.0001 person 5 1011.053834 202.210767 231.74 <.0001 machine*person 10 404.315028 40.431503 46.34 <.0001 The GLM Procedure Source Type III Expected Mean Square machine Var(Error) + 2.137 Var(machine*person) + Q(machine) person Var(Error) + 2.2408 Var(machine*person) + 6.7224 Var(person) machine*person Var(Error) + 2.3162 Var(machine*person) The GLM Procedure Tests of Hypotheses for Mixed Model Analysis of Variance Dependent Variable: score Source DF Type III SS Mean Square F Value Pr > F machine 2 1238.197626 619.098813 16.57 0.0007 Error 10.036 375.057436 37.370384 Error: 0.9226*MS(machine*person) + 0.0774*MS(Error) Source DF Type III SS Mean Square F Value Pr > F person 5 1011.053834 202.210767 5.17 0.0133 Error 10.015 392.005726 39.143708 Error: 0.9674*MS(machine*person) + 0.0326*MS(Error) Source DF Type III SS Mean Square F Value Pr > F machine*person 10 404.315028 40.431503 46.34 <.0001 Error: MS(Error) 26 22.686667 0.872564 Dependent Variable: score Tests of Hypotheses Using the Type III MS for machine*person as an Error Term Source DF Type III SS Mean Square F Value Pr > F machine 2 1238.197626 619.098813 15.31 0.0009 Tests of Hypotheses Using the Type III MS for machine*person as an Error Term Contrast DF Contrast SS Mean Square F Value Pr > F machine 1 vs. 2 1 343.682667 343.682667 8.50 0.0154 machine 2 vs. 3 1 253.472000 253.472000 6.27 0.0312 machine 1 vs. 3 1 1229.414902 1229.414902 30.41 0.0003 The Mixed Procedure Model Information Data Set WORK.UNBAL Dependent Variable score Covariance Structure Variance Components Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values machine 3 1 2 3 person 6 1 2 3 4 5 6 Dimensions Covariance Parameters 3 Columns in X 4 Columns in Z 24 Subjects 1 Max Obs Per Subject 44 Observations Used 44 Observations Not Used 0 Total Observations 44 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 270.15842523 1 2 181.87153357 0.00000064 2 1 181.87149943 0.00000000 Convergence criteria met. Covariance Parameter Estimates Cov Parm Estimate person 22.4551 machine*person 14.2340 Residual 0.8709 Fitting Information Res Log Likelihood -90.9 Akaike's Information Criterion -93.9 Schwarz's Bayesian Criterion -93.6 -2 Res Log Likelihood 181.9 The Mixed Procedure Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F machine 2 10.1 19.97 0.0003 Contrasts Num Den Label DF DF F Value Pr > F machine 1 vs. 2 1 10.2 12.93 0.0047 machine 2 vs. 3 1 10 7.29 0.0222 machine 1 vs. 3 1 10.1 39.69 <.0001 Least Squares Means Standard Effect machine Estimate Error DF t Value Pr > |t| machine 1 52.3540 2.4906 8.72 21.02 <.0001 machine 2 60.3164 2.4874 8.68 24.25 <.0001 machine 3 66.2722 2.4826 8.61 26.69 <.0001 Differences of Least Squares Means Standard Effect machine _machine Estimate Error DF t Value Pr > |t| machine 1 2 -7.9624 2.2147 10.2 -3.60 0.0047 machine 1 3 -13.9182 2.2094 10.1 -6.30 <.0001 machine 2 3 -5.9558 2.2057 10 -2.70 0.0222