Kuehl -- Example 3.1 Grain/Density p. 85 Obs density grain 1 10 12.2 2 10 11.4 3 10 12.4 4 20 16.0 5 20 15.5 6 20 16.5 7 30 18.6 8 30 20.2 9 30 18.2 10 40 17.6 11 40 19.3 12 40 17.1 13 50 18.0 14 50 16.4 15 50 16.6 Kuehl -- Example 3.1 Grain/Density p. 85 The MEANS Procedure Analysis Variable : grain N density Obs Mean Std Dev --------------------------------------------------- 10 3 12.0000000 0.5291503 20 3 16.0000000 0.5000000 30 3 19.0000000 1.0583005 40 3 18.0000000 1.1532563 50 3 17.0000000 0.8717798 --------------------------------------------------- Kuehl -- Example 3.1 Grain/Density p. 85 The GLM Procedure Class Level Information Class Levels Values density 5 10 20 30 40 50 Number of Observations Read 15 Number of Observations Used 15 Kuehl -- Example 3.1 Grain/Density p. 85 The GLM Procedure Dependent Variable: grain Sum of Source DF Squares Mean Square F Value Pr > F Model 4 87.60000000 21.90000000 29.28 <.0001 Error 10 7.48000000 0.74800000 Corrected Total 14 95.08000000 R-Square Coeff Var Root MSE grain Mean 0.921329 5.273597 0.864870 16.40000 Source DF Type I SS Mean Square F Value Pr > F density 4 87.60000000 21.90000000 29.28 <.0001 Source DF Type III SS Mean Square F Value Pr > F density 4 87.60000000 21.90000000 29.28 <.0001 Contrast DF Contrast SS Mean Square F Value Pr > F Linear 1 43.20000000 43.20000000 57.75 <.0001 Quadratic 1 42.00000000 42.00000000 56.15 <.0001 Cubic 1 0.30000000 0.30000000 0.40 0.5407 Quartic 1 2.10000000 2.10000000 2.81 0.1248 Kuehl -- Example 3.1 Grain/Density p. 85 The GLM Procedure Class Level Information Class Levels Values density 5 10 20 30 40 50 Number of Observations Read 15 Number of Observations Used 15 Kuehl -- Example 3.1 Grain/Density p. 85 The GLM Procedure Dependent Variable: grain Sum of Source DF Squares Mean Square F Value Pr > F Model 4 87.60000000 21.90000000 29.28 <.0001 Error 10 7.48000000 0.74800000 Corrected Total 14 95.08000000 R-Square Coeff Var Root MSE grain Mean 0.921329 5.273597 0.864870 16.40000 Source DF Type I SS Mean Square F Value Pr > F density 4 87.60000000 21.90000000 29.28 <.0001 Source DF Type III SS Mean Square F Value Pr > F density 4 87.60000000 21.90000000 29.28 <.0001 Standard Parameter Estimate Error t Value Pr > |t| Linear 12.0000000 1.57902924 7.60 <.0001 Quadratic -14.0000000 1.86833259 -7.49 <.0001 Cubic 1.0000000 1.57902924 0.63 0.5407 Quartic 7.0000000 4.17771868 1.68 0.1248