Kuehl -- Example 14.2 -- Turfgrass Data The GLM Procedure Class Level Information Class Levels Values block 2 1 2 nitrogen 4 1 2 3 4 years 3 2 5 8 Number of Observations Read 24 Number of Observations Used 24 Kuehl -- Example 14.2 -- Turfgrass Data The GLM Procedure Dependent Variable: chlrfl Sum of Source DF Squares Mean Square F Value Pr > F Model 15 47.06291667 3.13752778 14.62 0.0003 Error 8 1.71666667 0.21458333 Corrected Total 23 48.77958333 R-Square Coeff Var Root MSE chlrfl Mean 0.964808 7.290199 0.463231 6.354167 Source DF Type I SS Mean Square F Value Pr > F block 1 0.51041667 0.51041667 2.38 0.1616 nitrogen 3 37.32458333 12.44152778 57.98 <.0001 block*nitrogen 3 1.25791667 0.41930556 1.95 0.1996 years 2 3.81583333 1.90791667 8.89 0.0093 nitrogen*years 6 4.15416667 0.69236111 3.23 0.0646 Source DF Type III SS Mean Square F Value Pr > F block 1 0.51041667 0.51041667 2.38 0.1616 nitrogen 3 37.32458333 12.44152778 57.98 <.0001 block*nitrogen 3 1.25791667 0.41930556 1.95 0.1996 years 2 3.81583333 1.90791667 8.89 0.0093 nitrogen*years 6 4.15416667 0.69236111 3.23 0.0646 Tests of Hypotheses Using the Type III MS for block*nitrogen as an Error Term Source DF Type III SS Mean Square F Value Pr > F nitrogen 3 37.32458333 12.44152778 29.67 0.0099 Kuehl -- Example 14.2 -- Turfgrass Data The Mixed Procedure Model Information Data Set WORK.ONE Dependent Variable chlrfl 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 block 2 1 2 nitrogen 4 1 2 3 4 years 3 2 5 8 Dimensions Covariance Parameters 3 Columns in X 20 Columns in Z 10 Subjects 1 Max Obs Per Subject 24 Number of Observations Number of Observations Read 24 Number of Observations Used 24 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 27.53502770 1 1 26.77984002 0.00000000 Convergence criteria met. Kuehl -- Example 14.2 -- Turfgrass Data The Mixed Procedure Covariance Parameter Estimates Cov Parm Estimate block 0.007593 block*nitrogen 0.06824 Residual 0.2146 Fit Statistics -2 Res Log Likelihood 26.8 AIC (smaller is better) 32.8 AICC (smaller is better) 35.8 BIC (smaller is better) 28.9 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F nitrogen 3 3 29.67 0.0099 years 2 8 8.89 0.0093 nitrogen*years 6 8 3.23 0.0646