The SAS System The MEANS Procedure Analysis Variable : log10y N duration wtgain Obs Mean Std Dev ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 1 1 10 0.4434824 0.3608488 2 10 0.8099675 0.3261755 3 10 1.1066998 0.3009770 2 1 10 0.3982271 0.3296800 2 10 0.5809641 0.3151586 3 10 0.8663947 0.2689221 ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ The SAS System The GLM Procedure Class Level Information Class Levels Values duration 2 1 2 wtgain 3 1 2 3 Number of observations 60 The SAS System The GLM Procedure Dependent Variable: log10y Sum of Source DF Squares Mean Square F Value Pr > F Model 5 3.76217002 0.75243400 7.43 <.0001 Error 54 5.46770182 0.10125374 Corrected Total 59 9.22987184 R-Square Coeff Var Root MSE log10y Mean 0.407608 45.39571 0.318204 0.700956 Source DF Type I SS Mean Square F Value Pr > F duration 1 0.44129344 0.44129344 4.36 0.0416 wtgain 2 3.20098397 1.60049199 15.81 <.0001 duration*wtgain 2 0.11989261 0.05994631 0.59 0.5567 Source DF Type III SS Mean Square F Value Pr > F duration 1 0.44129344 0.44129344 4.36 0.0416 wtgain 2 3.20098397 1.60049199 15.81 <.0001 duration*wtgain 2 0.11989261 0.05994631 0.59 0.5567 The SAS System Frequency 14 ˆ ***** ‚ ***** 13 ˆ ***** ***** ‚ ***** ***** 12 ˆ ***** ***** ‚ ***** ***** 11 ˆ ***** ***** ***** ‚ ***** ***** ***** 10 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 9 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 8 ˆ ***** ***** ***** ***** ‚ ***** ***** ***** ***** 7 ˆ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** 6 ˆ ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** 5 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** 4 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** 3 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** 2 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** 1 ˆ ***** ***** ***** ***** ***** ***** ‚ ***** ***** ***** ***** ***** ***** Šƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ -0.5 -0.3 -0.1 0.1 0.3 0.5 e Midpoint The SAS System The UNIVARIATE Procedure Variable: e Moments N 60 Sum Weights 60 Mean 0 Sum Observations 0 Std Deviation 0.30442226 Variance 0.09267291 Skewness -0.1725124 Kurtosis -0.9974459 Uncorrected SS 5.46770182 Corrected SS 5.46770182 Coeff Variation . Std Error Mean 0.03930074 Basic Statistical Measures Location Variability Mean 0.00000 Std Deviation 0.30442 Median 0.02737 Variance 0.09267 Mode -0.44348 Range 1.09322 Interquartile Range 0.51856 NOTE: The mode displayed is the smallest of 2 modes with a count of 3. Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 0 Pr > |t| 1.0000 Sign M 2 Pr >= |M| 0.6989 Signed Rank S 8 Pr >= |S| 0.9536 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.963916 Pr < W 0.0732 Kolmogorov-Smirnov D 0.088403 Pr > D >0.1500 Cramer-von Mises W-Sq 0.070166 Pr > W-Sq >0.2500 Anderson-Darling A-Sq 0.534747 Pr > A-Sq 0.1711 Quantiles (Definition 5) Quantile Estimate 100% Max 0.5122518 99% 0.5122518 95% 0.4619494 90% 0.3894072 75% Q3 0.2824384 The SAS System The UNIVARIATE Procedure Variable: e Quantiles (Definition 5) Quantile Estimate 50% Median 0.0273674 25% Q1 -0.2361211 10% -0.4434824 5% -0.5067887 1% -0.5809641 0% Min -0.5809641 Extreme Observations ------Lowest------ ------Highest----- Value Obs Value Obs -0.580964 44 0.401616 9 -0.565365 60 0.419036 50 -0.508938 18 0.504863 37 -0.504640 29 0.510760 10 -0.443482 7 0.512252 20 The SAS System The UNIVARIATE Procedure Variable: e Stem Leaf # Boxplot 5 011 3 | 4 | 4 02 2 | 3 89 2 | 3 00012344 8 | 2 56 2 +-----+ 2 00 2 | | 1 67 2 | | 1 023 3 | | 0 899 3 | | 0 22334 5 *--+--* -0 32 2 | | -0 7 1 | | -1 411000 6 | | -1 75 2 | | -2 10 2 +-----+ -2 886 3 | -3 33 2 | -3 | -4 444000 6 | -4 | -5 10 2 | -5 87 2 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 The SAS System The UNIVARIATE Procedure Variable: e Normal Probability Plot 0.525+ *+* * | ++ | * * | ** | ***** | * + | **++ | **+ | ** | *** | *** -0.025+ * | ** | *** | +* | ++* | +** | ++* | ++** | *** | ++ | +** -0.575+ * * +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System Plot of e*yhat. Legend: A = 1 obs, B = 2 obs, etc. e ‚ 0.6 ˆ ‚ ‚ ‚ A A A ‚ ‚ ‚ A 0.4 ˆ A A ‚ A ‚ A A A ‚ B A A A ‚ ‚ A A ‚ 0.2 ˆ A A ‚ A A ‚ A ‚ A ‚ A A A A ‚ ‚ B B A 0.0 ˆ ‚ A A ‚ A ‚ B ‚ A B ‚ A A ‚ A -0.2 ˆ A A ‚ ‚ A ‚ B ‚ A ‚ A ‚ -0.4 ˆ C ‚ ‚ C ‚ ‚ A A ‚ ‚ A A -0.6 ˆ ‚ Šƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒƒƒƒƒƒˆƒƒ 0.4 0.6 0.8 1.0 1.2 yhat