The SAS System 1 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 2 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 5 195.01388889 39.00277778 5.76 0.0061 Error 12 81.26388889 6.77199074 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.705862 3.738347 2.6023049 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 15.07 0.0022 SAND*SAND 1 4.69444444 4.69444444 0.69 0.4213 FIBRE 1 65.33333333 65.33333333 9.65 0.0091 FIBRE*FIBRE 1 21.77777778 21.77777778 3.22 0.0981 SAND*FIBRE 1 1.12500000 1.12500000 0.17 0.6908 Source DF Type III SS Mean Square F Value Pr > F SAND 1 24.65660920 24.65660920 3.64 0.0806 SAND*SAND 1 4.69444444 4.69444444 0.69 0.4213 FIBRE 1 45.01293103 45.01293103 6.65 0.0242 FIBRE*FIBRE 1 21.77777778 21.77777778 3.22 0.0981 SAND*FIBRE 1 1.12500000 1.12500000 0.17 0.6908 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 62.84722222 38.05 0.0001 1.65154697 SAND 0.36388889 1.91 0.0806 0.19070422 SAND*SAND -0.00481481 -0.83 0.4213 0.00578290 FIBRE 0.29500000 2.58 0.0242 0.11442253 FIBRE*FIBRE -0.00373333 -1.79 0.0981 0.00208184 SAND*FIBRE -0.00100000 -0.41 0.6908 0.00245348 The SAS System 3 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 4 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 4 193.88888889 48.47222222 7.65 0.0021 Error 13 82.38888889 6.33760684 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.701790 3.616463 2.5174604 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 16.11 0.0015 SAND*SAND 1 4.69444444 4.69444444 0.74 0.4050 FIBRE 1 65.33333333 65.33333333 10.31 0.0068 FIBRE*FIBRE 1 21.77777778 21.77777778 3.44 0.0866 Source DF Type III SS Mean Square F Value Pr > F SAND 1 23.85256410 23.85256410 3.76 0.0744 SAND*SAND 1 4.69444444 4.69444444 0.74 0.4050 FIBRE 1 45.23076923 45.23076923 7.14 0.0192 FIBRE*FIBRE 1 21.77777778 21.77777778 3.44 0.0866 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 63.22222222 47.65 0.0001 1.32681813 SAND 0.33888889 1.94 0.0744 0.17468372 SAND*SAND -0.00481481 -0.86 0.4050 0.00559436 FIBRE 0.28000000 2.67 0.0192 0.10481023 FIBRE*FIBRE -0.00373333 -1.85 0.0866 0.00201397 The SAS System 5 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 6 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 3 172.11111111 57.37037037 7.71 0.0028 Error 14 104.16666667 7.44047619 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.622964 3.918518 2.7277236 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 13.72 0.0024 SAND*SAND 1 4.69444444 4.69444444 0.63 0.4403 FIBRE 1 65.33333333 65.33333333 8.78 0.0103 Source DF Type III SS Mean Square F Value Pr > F SAND 1 23.85256410 23.85256410 3.21 0.0950 SAND*SAND 1 4.69444444 4.69444444 0.63 0.4403 FIBRE 1 65.33333333 65.33333333 8.78 0.0103 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 64.00000000 46.93 0.0001 1.36386181 SAND 0.33888889 1.79 0.0950 0.18927365 SAND*SAND -0.00481481 -0.79 0.4403 0.00606161 FIBRE 0.09333333 2.96 0.0103 0.03149704 The SAS System 7 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 8 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 2 106.77777778 53.38888889 4.72 0.0256 Error 15 169.50000000 11.30000000 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.386487 4.829038 3.3615473 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 9.03 0.0089 SAND*SAND 1 4.69444444 4.69444444 0.42 0.5290 Source DF Type III SS Mean Square F Value Pr > F SAND 1 23.85256410 23.85256410 2.11 0.1669 SAND*SAND 1 4.69444444 4.69444444 0.42 0.5290 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 66.33333333 48.34 0.0001 1.37234592 SAND 0.33888889 1.45 0.1669 0.23325395 SAND*SAND -0.00481481 -0.64 0.5290 0.00747011 The SAS System 9 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 10 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 1 102.08333333 102.08333333 9.38 0.0074 Error 16 174.19444444 10.88715278 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.369495 4.740003 3.2995686 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 9.38 0.0074 Source DF Type III SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 9.38 0.0074 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 66.69444444 54.24 0.0001 1.22967660 SAND 0.19444444 3.06 0.0074 0.06350023 The SAS System 11 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 12 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 3 189.19444444 63.06481481 10.14 0.0008 Error 14 87.08333333 6.22023810 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.684798 3.582820 2.4940405 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 16.41 0.0012 FIBRE 1 65.33333333 65.33333333 10.50 0.0059 FIBRE*FIBRE 1 21.77777778 21.77777778 3.50 0.0824 Source DF Type III SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 16.41 0.0012 FIBRE 1 45.23076923 45.23076923 7.27 0.0174 FIBRE*FIBRE 1 21.77777778 21.77777778 3.50 0.0824 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 63.58333333 50.99 0.0001 1.24702026 SAND 0.19444444 4.05 0.0012 0.04799783 FIBRE 0.28000000 2.70 0.0174 0.10383519 FIBRE*FIBRE -0.00373333 -1.87 0.0824 0.00199523 The SAS System 13 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 14 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 2 87.11111111 43.55555556 3.45 0.0584 Error 15 189.16666667 12.61111111 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.315303 5.101503 3.5512126 69.611111 Source DF Type I SS Mean Square F Value Pr > F FIBRE 1 65.33333333 65.33333333 5.18 0.0379 FIBRE*FIBRE 1 21.77777778 21.77777778 1.73 0.2086 Source DF Type III SS Mean Square F Value Pr > F FIBRE 1 45.23076923 45.23076923 3.59 0.0777 FIBRE*FIBRE 1 21.77777778 21.77777778 1.73 0.2086 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 66.50000000 45.87 0.0001 1.44977648 FIBRE 0.28000000 1.89 0.0777 0.14784877 FIBRE*FIBRE -0.00373333 -1.31 0.2086 0.00284097 The SAS System 15 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 16 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 1 65.33333333 65.33333333 4.96 0.0407 Error 16 210.94444444 13.18402778 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.236477 5.216095 3.6309817 69.611111 Source DF Type I SS Mean Square F Value Pr > F FIBRE 1 65.33333333 65.33333333 4.96 0.0407 Source DF Type III SS Mean Square F Value Pr > F FIBRE 1 65.33333333 65.33333333 4.96 0.0407 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 67.27777778 49.72 0.0001 1.35318697 FIBRE 0.09333333 2.23 0.0407 0.04192696 The SAS System 17 10:40 Friday, January 31, 1997 General Linear Models Procedure Number of observations in data set = 18 The SAS System 18 10:40 Friday, January 31, 1997 General Linear Models Procedure Dependent Variable: HARDNESS Sum of Mean Source DF Squares Square F Value Pr > F Model 2 167.41666667 83.70833333 11.53 0.0009 Error 15 108.86111111 7.25740741 Corrected Total 17 276.27777778 R-Square C.V. Root MSE HARDNESS Mean 0.605972 3.870011 2.6939576 69.611111 Source DF Type I SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 14.07 0.0019 FIBRE 1 65.33333333 65.33333333 9.00 0.0090 Source DF Type III SS Mean Square F Value Pr > F SAND 1 102.08333333 102.08333333 14.07 0.0019 FIBRE 1 65.33333333 65.33333333 9.00 0.0090 T for H0: Pr > |T| Std Error of Parameter Estimate Parameter=0 Estimate INTERCEPT 64.36111111 50.68 0.0001 1.26994378 SAND 0.19444444 3.75 0.0019 0.05184524 FIBRE 0.09333333 3.00 0.0090 0.03110714 The SAS System 19 10:40 Friday, January 31, 1997 SAND FIBRE HARDNESS STRENGTH FITTED RESID LEVERAGE COOKD DFFITS RSTUDENT 0 0 61 34 64.36 -3.36 0.22 0.19 -0.78 -1.47 0 0 63 16 64.36 -1.36 0.22 0.03 -0.30 -0.56 15 0 67 36 67.28 -0.28 0.14 0.00 -0.04 -0.11 15 0 69 19 67.28 1.72 0.14 0.03 0.27 0.68 30 0 65 28 70.19 -5.19 0.22 0.46 -1.37 -2.56 30 0 74 17 70.19 3.81 0.22 0.24 0.91 1.70 0 25 69 49 66.69 2.31 0.14 0.05 0.37 0.92 0 25 69 48 66.69 2.31 0.14 0.05 0.37 0.92 15 25 69 43 69.61 -0.61 0.06 0.00 -0.05 -0.23 15 25 74 29 69.61 4.39 0.06 0.06 0.44 1.80 30 25 74 31 72.53 1.47 0.14 0.02 0.23 0.58 30 25 72 24 72.53 -0.53 0.14 0.00 -0.08 -0.20 0 50 67 55 69.03 -2.03 0.22 0.07 -0.45 -0.85 0 50 69 60 69.03 -0.03 0.22 0.00 -0.01 -0.01 15 50 69 45 71.94 -2.94 0.14 0.07 -0.48 -1.19 15 50 74 43 71.94 2.06 0.14 0.04 0.33 0.81 30 50 74 22 74.86 -0.86 0.22 0.01 -0.19 -0.35 30 50 74 48 74.86 -0.86 0.22 0.01 -0.19 -0.35