The SAS System The GLM Procedure Class Level Information Class Levels Values ingred1 3 1 2 3 ingred2 3 1 2 3 Number of observations 36 The SAS System The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 8 373.1050000 46.6381250 774.91 <.0001 Error 27 1.6250000 0.0601852 Corrected Total 35 374.7300000 R-Square Coeff Var Root MSE y Mean 0.995664 3.415221 0.245327 7.183333 Source DF Type I SS Mean Square F Value Pr > F ingred1 2 220.0200000 110.0100000 1827.86 <.0001 ingred2 2 123.6600000 61.8300000 1027.33 <.0001 ingred1*ingred2 4 29.4250000 7.3562500 122.23 <.0001 Source DF Type III SS Mean Square F Value Pr > F ingred1 2 220.0200000 110.0100000 1827.86 <.0001 ingred2 2 123.6600000 61.8300000 1027.33 <.0001 ingred1*ingred2 4 29.4250000 7.3562500 122.23 <.0001 The SAS System The GLM Procedure Observation Observed Predicted Residual 1 2.40000000 2.47500000 -0.07500000 2 2.70000000 2.47500000 0.22500000 3 2.30000000 2.47500000 -0.17500000 4 2.50000000 2.47500000 0.02500000 5 4.60000000 4.60000000 0.00000000 6 4.20000000 4.60000000 -0.40000000 7 4.90000000 4.60000000 0.30000000 8 4.70000000 4.60000000 0.10000000 9 4.80000000 4.57500000 0.22500000 10 4.50000000 4.57500000 -0.07500000 11 4.40000000 4.57500000 -0.17500000 12 4.60000000 4.57500000 0.02500000 13 5.80000000 5.45000000 0.35000000 14 5.20000000 5.45000000 -0.25000000 15 5.50000000 5.45000000 0.05000000 16 5.30000000 5.45000000 -0.15000000 17 8.90000000 8.92500000 -0.02500000 18 9.10000000 8.92500000 0.17500000 19 8.70000000 8.92500000 -0.22500000 20 9.00000000 8.92500000 0.07500000 21 9.10000000 9.12500000 -0.02500000 22 9.30000000 9.12500000 0.17500000 23 8.70000000 9.12500000 -0.42500000 24 9.40000000 9.12500000 0.27500000 25 6.10000000 5.97500000 0.12500000 26 5.70000000 5.97500000 -0.27500000 27 5.90000000 5.97500000 -0.07500000 28 6.20000000 5.97500000 0.22500000 29 9.90000000 10.27500000 -0.37500000 30 10.50000000 10.27500000 0.22500000 31 10.60000000 10.27500000 0.32500000 32 10.10000000 10.27500000 -0.17500000 33 13.50000000 13.25000000 0.25000000 34 13.00000000 13.25000000 -0.25000000 35 13.30000000 13.25000000 0.05000000 36 13.20000000 13.25000000 -0.05000000 Sum of Residuals 0.00000000 Sum of Squared Residuals 1.62500000 Sum of Squared Residuals - Error SS -0.00000000 First Order Autocorrelation -0.46730769 Durbin-Watson D 2.92961538 The SAS System The UNIVARIATE Procedure Variable: e Moments N 36 Sum Weights 36 Mean 0 Sum Observations 0 Std Deviation 0.2154729 Variance 0.04642857 Skewness -0.2336017 Kurtosis -0.8534073 Uncorrected SS 1.625 Corrected SS 1.625 Coeff Variation . Std Error Mean 0.03591215 Basic Statistical Measures Location Variability Mean 0.000000 Std Deviation 0.21547 Median 0.012500 Variance 0.04643 Mode . Range 0.77500 Interquartile Range 0.37500 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 0 Pr > |t| 1.0000 Sign M 0.5 Pr >= |M| 1.0000 Signed Rank S 7 Pr >= |S| 0.9107 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.96509 Pr < W 0.3069 Kolmogorov-Smirnov D 0.101807 Pr > D >0.1500 Cramer-von Mises W-Sq 0.043189 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.332089 Pr > A-Sq >0.2500 Quantiles (Definition 5) Quantile Estimate 100% Max 0.3500 99% 0.3500 95% 0.3250 90% 0.2750 75% Q3 0.2000 50% Median 0.0125 25% Q1 -0.1750 The SAS System The UNIVARIATE Procedure Variable: e Quantiles (Definition 5) Quantile Estimate 10% -0.2750 5% -0.4000 1% -0.4250 0% Min -0.4250 Extreme Observations -----Lowest---- ----Highest---- Value Obs Value Obs -0.425 23 0.250 33 -0.400 6 0.275 24 -0.375 29 0.300 7 -0.275 26 0.325 31 -0.250 14 0.350 13 Stem Leaf # Boxplot 3 5 1 | 3 02 2 | 2 58 2 | 2 2222 4 +-----+ 1 88 2 | | 1 02 2 | | 0 558 3 | | 0 022 3 *--+--* -0 22 2 | | -0 8885 4 | | -1 | | -1 8885 4 +-----+ -2 2 1 | -2 855 3 | -3 | -3 8 1 | -4 20 2 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 The SAS System The UNIVARIATE Procedure Variable: e Normal Probability Plot 0.375+ ++ * | +*+* | *+* | ****+ | **+++ | **+ | **+ | **+ -0.025+ ** | *** | +* | +*** | *** | *+ | +++ | +* * -0.425+ *++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System Plot of e*yhat. Legend: A = 1 obs, B = 2 obs, etc. e ‚ ‚ 0.4 ˆ ‚ ‚ A ‚ A 0.3 ˆ A ‚ A ‚ A ‚ A A A A 0.2 ˆ ‚ AA ‚ ‚ A 0.1 ˆ A ‚ A ‚ A A ‚ A A 0.0 ˆ A ‚ AA ‚ A ‚ A A A -0.1 ˆ ‚ ‚ A ‚ A A A -0.2 ˆ ‚ A ‚ A A ‚ A -0.3 ˆ ‚ ‚ ‚ A -0.4 ˆ A ‚ A ‚ ‚ -0.5 ˆ ‚ Šƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒˆƒƒ 2 4 6 8 10 12 14 yhat