ANOVA

SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test ObsIDX1 X2X3X4X5 X6X7X8X9X10 X11X12X13X14X15X16X17X18X19X20X21 X22X23 1 1201118.5 3.92.55.9 4.84.96.06.84.74.35.05.13.78.28.08.465.1 1 2 2310008.2 2.75.17.2 3.47.93.15.35.54.03.94.34.95.76.57.567.1 0 3 3301119.2 3.45.65.6 5.47.45.84.56.24.65.44.04.58.98.49.072.1 1 4 4111106.4 3.37.03.7 4.74.74.58.87.03.64.34.13.04.86.07.240.1 0 5 5201019.0 3.45.24.6 2.26.04.56.86.14.54.53.53.57.16.69.057.1 0 6 6110106.5 2.83.14.1 4.04.33.78.55.19.53.64.73.34.76.36.150.1 0 7 7111106.9 3.75.02.6 2.12.35.48.94.82.52.14.22.05.77.87.241.1 0 8 8201106.2 3.33.94.8 4.63.65.16.95.44.84.36.33.76.35.87.756.1 0 9 9211105.8 3.65.16.7 3.75.95.89.35.94.44.46.14.67.07.58.256.1 1 10 10 101106.4 4.55.16.1 4.75.75.78.45.45.34.15.84.45.55.96.759.1 0 11 11 301018.7 3.24.64.8 2.76.84.66.85.87.53.83.74.07.47.08.468.1 0 12 12 101106.1 4.96.33.9 4.43.96.48.25.85.93.04.93.26.06.36.653.1 0 13 13 110019.5 5.64.66.9 5.06.96.67.66.55.35.14.54.48.48.47.958.1 1 14 14 310019.2 3.95.75.5 2.48.44.87.16.73.04.52.64.27.66.98.272.1 1 15 15 201116.3 4.54.76.9 4.56.85.98.86.05.44.86.25.28.07.07.662.1 1 16 16 300008.7 3.24.06.8 3.27.83.84.96.15.04.33.94.56.66.47.171.1 0 17 17 210115.7 4.06.76.0 3.35.55.16.26.75.44.26.24.56.47.57.250.1 1 18 18 201105.9 4.15.57.2 3.56.45.58.46.26.35.75.84.87.46.98.258.1 1 19 19 211105.6 3.45.16.4 3.75.75.69.15.46.15.06.04.56.87.57.955.1 0 20 20 301109.1 4.53.66.4 5.35.37.18.45.86.74.56.14.47.68.58.867.1 1 21 21 100105.2 3.87.15.2 3.94.35.08.47.14.63.34.93.35.45.57.050.1 0 22 22 311119.6 5.76.85.9 5.48.37.84.56.46.54.33.04.39.99.69.970.1 1 23 23 200018.6 3.67.45.1 3.57.34.73.76.76.04.83.44.07.07.18.160.1 0 24 24 301119.3 2.42.67.2 2.27.24.56.26.44.26.74.44.58.68.18.065.1 1 25 25 100106.0 4.15.34.7 3.55.35.38.06.53.94.75.34.04.84.95.555.1 0 26 26 201106.4 3.66.66.1 4.03.95.37.16.13.75.66.63.96.66.87.058.1 0 27 27 300008.5 3.07.25.8 4.17.63.74.86.96.75.33.84.46.37.17.070.1 0 28 28 110107.0 3.35.45.5 2.64.84.29.06.55.94.35.23.75.45.55.655.1 0 29 29 300008.5 3.05.76.0 2.37.63.74.85.86.05.73.84.46.36.97.270.1 0 30 30 111107.6 3.63.04.0 5.14.24.67.74.97.24.75.53.55.45.56.252.1 0 31 31 110016.9 3.48.54.3 4.56.44.75.27.73.33.72.73.36.16.87.144.1 0 32 32 101108.1 2.57.24.5 2.35.13.86.66.86.13.03.53.06.45.86.251.1 0 33 33 111106.7 3.76.55.3 5.35.14.99.25.74.23.54.53.45.46.57.644.1 0 34 34 211108.0 3.36.15.7 5.54.64.78.75.93.84.76.64.27.37.59.062.1 1 35 35 101106.7 4.05.23.9 3.05.46.88.46.26.02.54.33.56.36.66.754.1 0 36 36 100008.7 3.26.14.3 3.56.12.95.66.16.53.12.92.55.44.67.151.1 0 37 37 200019.0 3.45.94.6 3.96.04.56.86.44.33.93.53.57.18.07.257.1 0 38 38 301119.6 4.16.27.3 2.97.75.57.76.14.45.24.64.98.79.99.977.1 1 39 39 211108.2 3.63.96.2 5.84.95.09.05.27.14.76.94.57.66.97.665.1 1 40 40 100106.1 4.93.04.8 5.13.96.48.25.16.84.54.93.26.05.55.853.1 0 41 41 211108.3 3.43.35.5 3.14.65.29.14.11.74.65.83.97.07.58.461.1 1 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] 4242 210019.4 3.84.75.4 3.86.54.98.54.96.24.14.54.17.68.07.961.1 1 4343 301019.3 5.14.66.8 5.86.66.37.45.14.14.64.64.38.97.87.672.1 1 44 44 211115.1 5.16.66.9 4.45.47.85.97.25.24.96.34.57.67.98.455.1 1 45 45 310008.0 2.54.77.1 3.67.73.05.25.13.94.34.24.75.55.66.565.1 0 46 46 201105.9 4.15.75.9 5.86.45.58.46.45.15.25.84.87.48.67.758.1 1 47 47 3100110.0 4.37.16.3 2.95.44.53.86.73.75.04.03.57.18.88.067.1 1 48 48 211105.7 3.86.87.5 5.75.76.08.26.64.86.57.35.27.67.67.160.1 0 49 49 300119.9 3.73.76.1 4.27.06.76.85.97.24.53.43.98.78.18.567.1 1 50 50 311017.9 3.94.35.8 4.46.95.84.75.23.64.14.24.38.67.87.661.1 1 51 51 101106.7 3.65.94.2 3.44.74.87.25.75.34.03.62.85.47.57.248.1 0 52 52 310008.2 2.73.77.4 2.77.93.15.35.35.04.54.34.95.77.18.267.1 1 53 53 301119.4 2.54.86.1 3.27.34.66.36.39.24.74.64.68.79.09.066.1 1 54 54 110016.9 3.45.74.4 3.36.44.75.26.44.43.22.73.36.17.07.244.1 0 55 55 211108.0 3.33.85.8 3.24.64.78.75.34.24.96.64.27.38.18.162.1 1 56 56 310009.3 3.87.35.7 3.76.45.57.46.65.94.13.23.47.77.68.959.1 1 57 57 201117.4 5.14.87.7 4.57.26.99.66.47.45.76.55.59.07.98.874.1 1 58 58 310007.6 3.65.25.8 5.66.65.44.46.76.44.63.94.08.27.57.558.1 1 5959 3100010.0 4.35.33.7 4.25.44.53.86.74.53.74.03.57.16.57.067.1 0 60 60 311109.9 2.87.26.9 2.65.83.55.46.27.05.64.94.07.98.58.561.1 1 61 61 300008.7 3.28.46.1 2.87.83.84.97.24.55.43.94.56.66.97.271.1 1 62 62 201118.4 3.86.75.0 4.54.75.96.75.14.22.75.03.68.07.68.863.1 1 63 63 100018.8 3.93.85.1 4.34.74.85.85.07.24.43.72.96.35.58.044.1 0 64 64 101107.7 2.26.34.5 2.44.73.46.26.04.73.33.12.66.06.08.147.1 0 65 65 101106.6 3.65.84.1 4.94.74.87.26.53.93.53.62.85.46.97.148.1 0 66 66 211105.7 3.83.56.7 5.45.76.08.25.45.04.77.35.27.66.99.060.1 1 67 67 210105.7 4.07.96.4 2.75.55.16.27.56.45.06.24.56.45.66.250.1 0 68 68 210115.5 3.74.75.4 4.35.34.96.05.62.54.55.94.36.16.38.248.1 0 69 69 111107.5 3.53.83.5 2.94.14.57.65.15.24.05.43.45.25.85.851.1 0 70 70 201106.4 3.62.75.3 3.93.95.37.15.25.54.76.63.96.66.68.058.1 1 71 71 300109.1 4.56.15.9 6.35.37.18.47.15.75.46.14.47.67.57.767.1 0 72 72 110016.7 3.23.03.7 4.86.34.55.05.22.52.92.63.15.86.07.043.1 0 73 73 201106.5 4.32.76.6 6.56.36.08.74.76.34.65.64.67.96.67.966.1 0 74 74 301119.9 3.77.54.7 5.67.06.76.87.24.64.13.43.98.68.89.866.1 1 7575 201118.5 3.95.35.5 5.04.96.06.85.73.64.45.13.78.27.08.465.1 1 76 76 300009.9 3.06.85.0 5.45.94.84.97.37.63.14.33.87.16.68.963.1 1 77 77 100117.6 3.67.64.6 4.74.65.07.48.16.64.55.83.96.46.97.549.1 0 78 78 210019.4 3.87.06.2 4.76.54.98.57.32.44.34.54.17.67.38.061.1 1 79 79 300019.3 3.56.37.6 5.57.55.94.66.63.15.24.14.68.97.38.172.1 1 80 80 111107.1 3.44.94.1 4.05.05.97.86.13.52.63.12.75.75.87.644.1 0 81 81 301009.9 3.07.44.8 4.05.94.84.95.96.93.24.33.87.17.98.863.1 0 82 82 300008.7 3.26.44.9 2.46.84.66.86.35.14.33.74.07.47.38.068.1 1 83 83 200018.6 2.95.83.9 2.95.64.06.36.14.02.73.03.06.66.18.553.1 0 84 84 110106.4 3.26.73.6 2.22.95.08.47.36.52.03.71.65.05.16.537.1 0 85 85 200017.7 2.66.76.6 1.97.24.35.96.54.14.73.94.38.27.57.752.1 1 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] 8686 111107.5 3.54.14.5 3.54.14.57.64.92.83.45.43.45.26.07.251.1 0 8787 100105.0 3.61.33.0 3.54.24.98.24.37.62.44.83.15.25.56.048.1 0 88 88 200017.7 2.68.06.7 3.57.24.35.96.97.75.13.94.38.27.68.252.1 0 89 89 210019.1 3.65.55.4 4.26.24.68.36.54.14.64.33.97.36.57.459.1 0 90 90 210115.5 5.57.77.0 5.65.78.26.37.44.95.56.74.98.27.69.359.1 1 91 91 310009.1 3.77.04.1 4.46.35.47.37.54.64.43.03.37.47.97.958.1 1 92 92 110107.1 4.24.12.6 2.13.34.59.95.53.52.04.02.44.85.06.551.1 0 93 93 311019.2 3.94.65.3 4.28.44.87.16.26.64.42.64.27.67.58.672.1 0 94 94 301119.3 3.55.47.8 4.67.55.94.66.44.94.84.14.68.97.68.972.1 1 95 95 311009.3 3.84.04.6 4.76.45.57.45.34.83.63.23.47.77.38.459.1 1 96 96 110018.6 4.85.65.3 2.36.05.76.75.83.64.93.63.67.38.18.150.1 1 97 97 100117.4 3.42.65.0 4.14.44.87.24.56.44.25.63.76.35.57.248.1 0 98 98 100018.7 3.23.33.2 3.16.12.95.65.04.33.12.92.55.47.07.751.1 0 99 99 210117.8 4.95.85.3 5.25.37.17.96.05.74.34.93.96.47.17.461.1 0 100 100 211107.9 3.04.45.1 5.94.24.89.75.75.83.45.43.56.47.37.057.1 0 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The UNIVARIATE Procedure Variable: X19 (X19 - Satisfaction) Moments N 100Sum Weights 100 Mean 6.918Sum Observations 691.8 Std Deviation 1.19183925Variance 1.42048081 Skewness 0.0781812Kurtosis -0.7913045 Uncorrected SS 4926.5Corrected SS 140.6276 Coeff Variation 17.2280898Std Error Mean 0.11918393 Basic Statistical Measures Location Variability Mean 6.918000 Std Deviation 1.19184 Median 7.050000 Variance 1.42048 Mode 7.600000 Range 5.20000 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] 5.084 9.922 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The UNIVARIATE Procedure Variable: X20 (X20 - Likelihood of Recommendation) Moments N 100Sum Weights 100 Mean 7.02Sum Observations 702 Std Deviation 1.04330477Variance 1.08848485 Skewness 0.04392529Kurtosis -0.0883467 Uncorrected SS 5035.8Corrected SS 107.76 Coeff Variation 14.8618913Std Error Mean 0.10433048 Basic Statistical Measures Location Variability Mean 7.020000 Std Deviation 1.04330 Median 7.000000 Variance 1.08848 Mode 7.500000 Range 5.30000 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] 5.597 9.938 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The TTEST Procedure Variable: X19 (X19 - Satisfaction) X3 NMean Std Dev Std ErrMinimum Maximum 0 496.6408 1.09160.1559 4.7000 8.9000 1 517.1843 1.23330.1727 4.8000 9.9000 Diff (1-2) -0.5435 1.16600.2333 X3 Method Mean95% CL Mean Std Dev95% CL Std Dev 0 6.64086.32736.9544 1.09160.91031.3638 1 7.18436.83757.5312 1.23331.03191.5330 Diff (1-2) Pooled -0.5435-1.0064-0.0806 1.16601.02321.3557 Diff (1-2) Satterthwaite -0.5435-1.0053-0.0817 Method Variances DFt Value Pr > |t| Pooled Equal 98-2.33 0.0219 Satterthwaite Unequal97.357-2.340.0216 Equality of Variances Method Num DFDen DFF Value Pr > F Folded F 50481.280.3977 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] Variable: X20 (X20 - Likelihood of Recommendation) X3 NMean Std Dev Std ErrMinimum Maximum 0 496.7306 1.00630.1438 4.6000 8.8000 1 517.2980 1.01100.1416 5.5000 9.9000 Diff (1-2) -0.5674 1.00870.2018 X3 Method Mean95% CL Mean Std Dev95% CL Std Dev 0 6.73066.44167.0196 1.00630.83921.2571 1 7.29807.01377.5824 1.01100.84591.2568 Diff (1-2) Pooled -0.5674-0.9679-0.1670 1.00870.88511.1728 Diff (1-2) Satterthwaite -0.5674-0.9678-0.1670 Method Variances DFt Value Pr > |t| Pooled Equal 98-2.81 0.0059 Satterthwaite Unequal97.875-2.810.0059 Equality of Variances Method Num DFDen DFF Value Pr > F Folded F 50481.010.9753 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The ANOVA Procedure Class Level Information Class Levels Values X3 20 1 Number of Observations Read 100 Number of Observations Used 100 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The ANOVA Procedure Dependent Variable: X19 X19 - Satisfaction SourceDFSum of Squares Mean SquareF ValuePr > F Model 17.3817817 7.3817817 5.430.0219 Error 98133.2458183 1.3596512 Corrected Total 99140.6276000 R-Square Coeff Var Root MSE X19 Mean 0.052492 16.85517 1.1660416.918000 Source DFAnova SS Mean Square F ValuePr > F X3 17.38178167 7.38178167 5.430.0219 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The ANOVA Procedure Class Level Information Class Levels Values X3 20 1 Number of Observations Read 100 Number of Observations Used 100 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The ANOVA Procedure Dependent Variable: X20 X20 - Likelihood of Recommendation Source DFSum of Squares Mean SquareF ValuePr > F Model 18.0461144 8.0461144 7.910.0059 Error 9899.7138856 1.0174886 Corrected Total 99107.7600000 R-Square Coeff Var Root MSE X20 Mean 0.074667 14.36904 1.0087067.020000 Source DFAnova SS Mean Square F ValuePr > F X3 18.04611445 8.04611445 7.910.0059 SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The REG Procedure Model: MODEL1 Dependent Variable: X19 X19 - Satisfaction Number of Observations Read 100 Number of Observations Used 100 Analysis of Variance Source DFSum of Squares Mean Square F Value Pr SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The REG Procedure Model: MODEL1 Dependent Variable: X19 X19 - Satisfaction SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The REG Procedure Model: MODEL1 Dependent Variable: X20 X20 - Likelihood of Recommendation Number of Observations Read 100 Number of Observations Used 100 Analysis of Variance Source DFSum of Squares Mean Square F Value Pr SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] HBAT - Two-Sample T-Test The REG Procedure Model: MODEL1 Dependent Variable: X20 X20 - Likelihood of Recommendation SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM] SAS Output HBAT_Univ_TTest_ANOVA_REG_Prog_SAS_Output_Fa16.htm[9/26/2016 9:00:05 PM]