The SAS System Obs dealer interviewer price 1 1 1 100 2 1 2 125 3 2 1 235 4 2 3 95 5 3 1 50 6 3 4 30 7 4 1 133 8 4 6 80 9 5 1 50 10 5 5 30 11 6 1 25 12 6 7 88 13 7 1 140 14 7 8 150 15 8 2 41 16 8 3 50 17 9 2 180 18 9 4 195 19 10 2 65 20 10 5 75 21 11 2 50 22 11 6 100 23 12 2 100 24 12 7 96 25 13 2 170 26 13 8 150 27 14 3 75 28 14 4 95 29 15 3 25 30 15 6 55 31 16 3 132 32 16 5 50 33 17 3 145 34 17 8 96 35 18 3 100 36 18 7 152 37 19 4 99 38 19 5 235 39 20 4 100 40 20 6 100 41 21 4 50 42 21 7 50 43 22 4 35 44 22 8 50 45 23 5 150 46 23 6 163 47 24 5 135 48 24 7 150 49 25 5 70 50 25 8 138 The SAS System Obs dealer interviewer price 51 26 6 50 52 26 7 100 53 27 6 75 54 27 8 65 55 28 7 100 56 28 8 89 The SAS System The GLM Procedure Class Level Information Class Levels Values dealer 28 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 interviewer 8 1 2 3 4 5 6 7 8 Number of Observations Read 56 Number of Observations Used 56 The SAS System The GLM Procedure Dependent Variable: price Sum of Source DF Squares Mean Square F Value Pr > F Model 34 111621.4286 3282.9832 2.30 0.0241 Error 21 30030.0000 1430.0000 Corrected Total 55 141651.4286 R-Square Coeff Var Root MSE price Mean 0.788001 38.28017 37.81534 98.78571 Source DF Type I SS Mean Square F Value Pr > F dealer 27 106244.4286 3934.9788 2.75 0.0101 interviewer 7 5377.0000 768.1429 0.54 0.7967 Source DF Type III SS Mean Square F Value Pr > F dealer 27 107697.7143 3988.8042 2.79 0.0093 interviewer 7 5377.0000 768.1429 0.54 0.7967 The SAS System The GLM Procedure Least Squares Means Adjustment for Multiple Comparisons: Bonferroni Standard LSMEAN interviewer price LSMEAN Error Pr > |t| Number 1 115.660714 18.394244 <.0001 1 2 94.410714 18.394244 <.0001 2 3 86.035714 18.394244 0.0001 3 4 81.785714 18.394244 0.0002 4 5 92.285714 18.394244 <.0001 5 6 98.785714 18.394244 <.0001 6 7 122.160714 18.394244 <.0001 7 8 99.160714 18.394244 <.0001 8 Least Squares Means for Effect interviewer t for H0: LSMean(i)=LSMean(j) / Pr > |t| Dependent Variable: price i/j 1 2 3 4 5 6 7 8 1 0.794705 1.107912 1.266853 0.874175 0.631089 -0.24309 0.617065 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 2 -0.7947 0.313207 0.472148 0.07947 -0.16362 -1.03779 -0.17764 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 3 -1.10791 -0.31321 0.158941 -0.23374 -0.47682 -1.351 -0.49085 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 4 -1.26685 -0.47215 -0.15894 -0.39268 -0.63576 -1.50994 -0.64979 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 5 -0.87418 -0.07947 0.233737 0.392678 -0.24309 -1.11726 -0.25711 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 6 -0.63109 0.163616 0.476823 0.635764 0.243086 -0.87418 -0.01402 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 7 0.243086 1.037791 1.350998 1.509939 1.117262 0.874175 0.860151 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 8 -0.61707 0.17764 0.490847 0.649788 0.25711 0.014024 -0.86015 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 The SAS System The Mixed Procedure Model Information Data Set WORK.PRICE Dependent Variable price Covariance Structure Variance Components Estimation Method REML Residual Variance Method Profile Fixed Effects SE Method Kenward-Roger Degrees of Freedom Method Kenward-Roger Class Level Information Class Levels Values dealer 28 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 interviewer 8 1 2 3 4 5 6 7 8 Dimensions Covariance Parameters 2 Columns in X 9 Columns in Z 28 Subjects 1 Max Obs Per Subject 56 Number of Observations Number of Observations Read 56 Number of Observations Used 56 Number of Observations Not Used 0 Iteration History Iteration Evaluations -2 Res Log Like Criterion 0 1 533.95336050 1 3 526.84407144 0.00065023 2 1 526.68486200 0.00002685 3 1 526.67880699 0.00000005 4 1 526.67879523 0.00000000 The SAS System The Mixed Procedure Convergence criteria met. Covariance Parameter Estimates Cov Parm Estimate dealer 1434.46 Residual 1375.00 Fit Statistics -2 Res Log Likelihood 526.7 AIC (smaller is better) 530.7 AICC (smaller is better) 530.9 BIC (smaller is better) 533.3 Type 3 Tests of Fixed Effects Num Den Effect DF DF F Value Pr > F interviewer 7 33.1 0.38 0.9084 Least Squares Means Standard Effect interviewer Estimate Error DF t Value Pr > |t| interviewer 1 110.67 18.1728 44.3 6.09 <.0001 interviewer 2 98.9803 18.1728 44.3 5.45 <.0001 interviewer 3 87.3227 18.1728 44.3 4.81 <.0001 interviewer 4 83.8384 18.1728 44.3 4.61 <.0001 interviewer 5 98.7369 18.1728 44.3 5.43 <.0001 interviewer 6 94.3220 18.1728 44.3 5.19 <.0001 interviewer 7 114.40 18.1728 44.3 6.30 <.0001 interviewer 8 102.02 18.1728 44.3 5.61 <.0001 Differences of Least Squares Means Standard Effect interviewer _interviewer Estimate Error DF t Value interviewer 1 2 11.6872 24.1171 33.1 0.48 interviewer 1 3 23.3448 24.1171 33.1 0.97 The SAS System The Mixed Procedure Differences of Least Squares Means Standard Effect interviewer _interviewer Estimate Error DF t Value interviewer 1 4 26.8292 24.1171 33.1 1.11 interviewer 1 5 11.9306 24.1171 33.1 0.49 interviewer 1 6 16.3455 24.1171 33.1 0.68 interviewer 1 7 -3.7305 24.1171 33.1 -0.15 interviewer 1 8 8.6478 24.1171 33.1 0.36 interviewer 2 3 11.6576 24.1171 33.1 0.48 interviewer 2 4 15.1420 24.1171 33.1 0.63 interviewer 2 5 0.2434 24.1171 33.1 0.01 interviewer 2 6 4.6583 24.1171 33.1 0.19 interviewer 2 7 -15.4178 24.1171 33.1 -0.64 interviewer 2 8 -3.0395 24.1171 33.1 -0.13 interviewer 3 4 3.4843 24.1171 33.1 0.14 interviewer 3 5 -11.4142 24.1171 33.1 -0.47 interviewer 3 6 -6.9993 24.1171 33.1 -0.29 interviewer 3 7 -27.0754 24.1171 33.1 -1.12 interviewer 3 8 -14.6971 24.1171 33.1 -0.61 interviewer 4 5 -14.8986 24.1171 33.1 -0.62 interviewer 4 6 -10.4836 24.1171 33.1 -0.43 interviewer 4 7 -30.5597 24.1171 33.1 -1.27 interviewer 4 8 -18.1814 24.1171 33.1 -0.75 interviewer 5 6 4.4149 24.1171 33.1 0.18 interviewer 5 7 -15.6612 24.1171 33.1 -0.65 interviewer 5 8 -3.2828 24.1171 33.1 -0.14 interviewer 6 7 -20.0761 24.1171 33.1 -0.83 interviewer 6 8 -7.6978 24.1171 33.1 -0.32 interviewer 7 8 12.3783 24.1171 33.1 0.51 Differences of Least Squares Means Effect interviewer _interviewer Pr > |t| Adjustment Adj P interviewer 1 2 0.6312 Bonferroni 1.0000 interviewer 1 3 0.3401 Bonferroni 1.0000 interviewer 1 4 0.2740 Bonferroni 1.0000 interviewer 1 5 0.6241 Bonferroni 1.0000 interviewer 1 6 0.5026 Bonferroni 1.0000 interviewer 1 7 0.8780 Bonferroni 1.0000 interviewer 1 8 0.7222 Bonferroni 1.0000 interviewer 2 3 0.6320 Bonferroni 1.0000 interviewer 2 4 0.5344 Bonferroni 1.0000 interviewer 2 5 0.9920 Bonferroni 1.0000 interviewer 2 6 0.8480 Bonferroni 1.0000 interviewer 2 7 0.5270 Bonferroni 1.0000 interviewer 2 8 0.9005 Bonferroni 1.0000 interviewer 3 4 0.8860 Bonferroni 1.0000 The SAS System The Mixed Procedure Differences of Least Squares Means Effect interviewer _interviewer Pr > |t| Adjustment Adj P interviewer 3 5 0.6391 Bonferroni 1.0000 interviewer 3 6 0.7735 Bonferroni 1.0000 interviewer 3 7 0.2697 Bonferroni 1.0000 interviewer 3 8 0.5464 Bonferroni 1.0000 interviewer 4 5 0.5410 Bonferroni 1.0000 interviewer 4 6 0.6666 Bonferroni 1.0000 interviewer 4 7 0.2140 Bonferroni 1.0000 interviewer 4 8 0.4563 Bonferroni 1.0000 interviewer 5 6 0.8559 Bonferroni 1.0000 interviewer 5 7 0.5206 Bonferroni 1.0000 interviewer 5 8 0.8926 Bonferroni 1.0000 interviewer 6 7 0.4111 Bonferroni 1.0000 interviewer 6 8 0.7516 Bonferroni 1.0000 interviewer 7 8 0.6112 Bonferroni 1.0000