Note: This output was computed with a slightly different set of missing observations than what I showed in class. The general ideas are exactly the same. Split plot, with missing obs, Satterthwaite 8 The Mixed Procedure Model Information Data Set WORK.ALFCUT Dependent Variable yield Covariance Structure Variance Components Estimation Method Type 3 Residual Variance Method Factor Fixed Effects SE Method Model-Based Degrees of Freedom Method Satterthwaite Class Level Information Class Levels Values block 6 1 2 3 4 5 6 variety 3 cossak ladak ranger date 4 none o7 s1 s20 Dimensions Covariance Parameters 2 Columns in X 26 Columns in Z 18 Subjects 1 Max Obs Per Subject 67 Number of Observations Number of Observations Read 67 Number of Observations Used 67 Number of Observations Not Used 0 Type 3 Analysis of Variance Sum of Source DF Squares Mean Square block 5 3.704035 0.740807 variety 2 0.167779 0.083889 date 3 1.953519 0.651173 variety*date 6 0.198238 0.033040 block*variety 10 1.264444 0.126444 Residual 40 1.070011 0.026750 Type 3 Analysis of Variance Source Expected Mean Square block Var(Residual) + 3.6264 Var(block*variety) + Q(block) Split plot, with missing obs, Satterthwaite 9 The Mixed Procedure Type 3 Analysis of Variance Source Expected Mean Square variety Var(Residual) + 3.643 Var(block*variety) + Q(variety,variety*date) date Var(Residual) + Q(date,variety*date) variety*date Var(Residual) + Q(variety*date) block*variety Var(Residual) + 3.6458 Var(block*variety) Residual Var(Residual) Type 3 Analysis of Variance Error Source Error Term DF F Value Pr > F block 0.9947 MS(block*variety) 10.023 5.88 0.0086 + 0.0053 MS(Residual) variety 0.9992 MS(block*variety) 10.003 0.66 0.5361 + 0.0008 MS(Residual) date MS(Residual) 40 24.34 <.0001 variety*date MS(Residual) 40 1.24 0.3091 block*variety MS(Residual) 40 4.73 0.0002 Residual . . . . Covariance Parameter Estimates Cov Parm Estimate block*variety 0.02734 Residual 0.02675 Fit Statistics -2 Res Log Likelihood 7.7 AIC (smaller is better) 11.7 AICC (smaller is better) 11.9 BIC (smaller is better) 13.5 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F block 5 10.4 5.63 0.0091 variety 2 10.4 0.66 0.5366 date 3 40.1 25.11 <.0001 variety*date 6 40 1.36 0.2547 Split plot, with missing obs, Satterthwaite 10 The Mixed Procedure Estimates Standard Label Estimate Error DF t Value Pr > |t| ladak - ranger 0.1107 0.1071 10.3 1.03 0.3252 Least Squares Means Standard Effect variety date Estimate Error DF t Value Pr > |t| variety cossak 1.5601 0.07658 10.7 20.37 <.0001 variety ladak 1.6632 0.07620 10.5 21.83 <.0001 variety ranger 1.5525 0.07531 10 20.61 <.0001 date none 1.7811 0.05482 23.4 32.49 <.0001 date o7 1.7013 0.05708 26.2 29.80 <.0001 date s1 1.3140 0.05708 26.2 23.02 <.0001 date s20 1.5713 0.05597 24.8 28.07 <.0001 variety*date cossak none 1.7650 0.09495 23.4 18.59 <.0001 variety*date cossak o7 1.6832 0.1008 27.6 16.70 <.0001 variety*date cossak s1 1.2248 0.1008 27.6 12.15 <.0001 variety*date cossak s20 1.5671 0.1008 27.6 15.55 <.0001 variety*date ladak none 1.8750 0.09495 23.4 19.75 <.0001 variety*date ladak o7 1.8108 0.1008 27.6 17.97 <.0001 variety*date ladak s1 1.3037 0.1008 27.6 12.93 <.0001 variety*date ladak s20 1.6633 0.09495 23.4 17.52 <.0001 variety*date ranger none 1.7033 0.09495 23.4 17.94 <.0001 variety*date ranger o7 1.6100 0.09495 23.4 16.96 <.0001 variety*date ranger s1 1.4133 0.09495 23.4 14.88 <.0001 variety*date ranger s20 1.4833 0.09495 23.4 15.62 <.0001 Differences of Least Squares Means Standard Effect variety date _variety _date Estimate Error DF variety cossak ladak -0.1032 0.1080 10.6 variety cossak ranger 0.007556 0.1074 10.4 variety ladak ranger 0.1107 0.1071 10.3 date none o7 0.07977 0.05679 39.9 Differences of Least Squares Means Effect variety date _variety _date t Value Pr > |t| variety cossak ladak -0.95 0.3609 variety cossak ranger 0.07 0.9453 variety ladak ranger 1.03 0.3252 date none o7 1.40 0.1679 Split plot, with missing obs, Satterthwaite 11 The Mixed Procedure Differences of Least Squares Means Standard Effect variety date _variety _date Estimate Error DF date none s1 0.4671 0.05679 40 date none s20 0.2098 0.05567 39.8 date o7 s1 0.3874 0.05917 40.4 date o7 s20 0.1301 0.05803 40.1 date s1 s20 -0.2573 0.05797 40.3 variety*date cossak none cossak o7 0.08175 0.1003 40 variety*date cossak none cossak s1 0.5402 0.1003 40 variety*date cossak none cossak s20 0.1979 0.1003 40 variety*date cossak none ladak none -0.1100 0.1343 23.4 variety*date cossak none ladak o7 -0.04577 0.1385 25.6 variety*date cossak none ladak s1 0.4613 0.1385 25.6 variety*date cossak none ladak s20 0.1017 0.1343 23.4 variety*date cossak none ranger none 0.06167 0.1343 23.4 variety*date cossak none ranger o7 0.1550 0.1343 23.4 variety*date cossak none ranger s1 0.3517 0.1343 23.4 variety*date cossak none ranger s20 0.2817 0.1343 23.4 variety*date cossak o7 cossak s1 0.4584 0.1064 40.5 variety*date cossak o7 cossak s20 0.1161 0.1064 40.5 variety*date cossak o7 ladak none -0.1918 0.1385 25.6 variety*date cossak o7 ladak o7 -0.1275 0.1426 27.7 variety*date cossak o7 ladak s1 0.3795 0.1426 27.7 variety*date cossak o7 ladak s20 0.01992 0.1385 25.6 variety*date cossak o7 ranger none -0.02008 0.1385 25.6