The SAS System 1 The UNIVARIATE Procedure Variable: x Moments N 42 Sum Weights 42 Mean 0.12833333 Sum Observations 5.39 Std Deviation 0.10026591 Variance 0.01005325 Skewness 1.28054344 Kurtosis 1.12197137 Uncorrected SS 1.1039 Corrected SS 0.41218333 Coeff Variation 78.1292779 Std Error Mean 0.01547137 Basic Statistical Measures Location Variability Mean 0.128333 Std Deviation 0.10027 Median 0.100000 Variance 0.01005 Mode 0.100000 Range 0.39000 Interquartile Range 0.13000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 8.294894 Pr > |t| <.0001 Sign M 21 Pr >= |M| <.0001 Signed Rank S 451.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.85793 Pr < W <0.0001 Kolmogorov-Smirnov D 0.230299 Pr > D <0.0100 Cramer-von Mises W-Sq 0.366602 Pr > W-Sq <0.0050 Anderson-Darling A-Sq 2.101398 Pr > A-Sq <0.0050 Quantiles (Definition 5) Quantile Estimate 100% Max 0.40 99% 0.40 95% 0.30 90% 0.30 75% Q3 0.18 50% Median 0.10 25% Q1 0.05 10% 0.02 5% 0.02 1% 0.01 0% Min 0.01 The SAS System 2 The UNIVARIATE Procedure Variable: x Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 0.01 19 0.3 38 0.01 13 0.3 39 0.02 35 0.3 41 0.02 17 0.4 20 0.02 12 0.4 40 Stem Leaf # Boxplot 40 00 2 0 38 36 34 32 30 0000 4 | 28 | 26 | 24 | 22 | 20 000 3 | 18 00 2 +-----+ 16 | | 14 000 3 | | 12 0 1 | + | 10 0000000000 10 *-----* 8 00000 5 | | 6 0 1 | | 4 00000 5 +-----+ 2 0000 4 | 0 00 2 | ----+----+----+----+ Multiply Stem.Leaf by 10**-2 The SAS System 3 The UNIVARIATE Procedure Variable: x Normal Probability Plot 0.41+ * * | 0.37+ ++ | ++ 0.33+ ++ | ** ** ++ 0.29+ ++ | ++ 0.25+ ++ | ++ 0.21+ *** | +* 0.17+ ++ | ++ ** 0.13+ ++ * | ****** 0.09+ *** | *+ 0.05+ **** | ** **++ 0.01+ * * ++ +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The SAS System 4 LAMBDA LOGLIK RMSE AIC SBC 0.30 46.9115 .009814042 -91.8231 -90.0854 0.29 46.9196 .009814049 -91.8392 -90.1016 0.28 46.9235 .009814057 -91.8469 -90.1093 0.27 46.9231 .009814067 -91.8461 -90.1085 0.26 46.9184 .009814078 -91.8368 -90.0991 0.25 46.9094 .009814092 -91.8188 -90.0812 0.24 46.8961 .009814107 -91.7923 -90.0546 0.23 46.8785 .009814125 -91.7570 -90.0193 0.22 46.8565 .009814145 -91.7130 -89.9754 0.21 46.8301 .009814169 -91.6603 -89.9226 0.20 46.7994 .009814195 -91.5987 -89.8611 The SAS System 5 The UNIVARIATE Procedure Variable: xtran Moments N 42 Sum Weights 42 Mean 0.56425751 Sum Observations 23.6988154 Std Deviation 0.11979246 Variance 0.01435023 Skewness -0.0903735 Kurtosis -0.1890099 Uncorrected SS 13.9605942 Corrected SS 0.58835961 Coeff Variation 21.2301054 Std Error Mean 0.01848438 Basic Statistical Measures Location Variability Mean 0.564258 Std Deviation 0.11979 Median 0.562341 Variance 0.01435 Mode 0.562341 Range 0.47904 Interquartile Range 0.17848 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 30.52618 Pr > |t| <.0001 Sign M 21 Pr >= |M| <.0001 Signed Rank S 451.5 Pr >= |S| <.0001 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.964806 Pr < W 0.2188 Kolmogorov-Smirnov D 0.125429 Pr > D 0.0940 Cramer-von Mises W-Sq 0.103383 Pr > W-Sq 0.0986 Anderson-Darling A-Sq 0.571707 Pr > A-Sq 0.1345 Quantiles (Definition 5) Quantile Estimate 100% Max 0.795271 99% 0.795271 95% 0.740083 90% 0.740083 75% Q3 0.651356 50% Median 0.562341 25% Q1 0.472871 10% 0.376060 5% 0.376060 1% 0.316228 0% Min 0.316228 The SAS System 6 The UNIVARIATE Procedure Variable: xtran Extreme Observations ------Lowest------ ------Highest----- Value Obs Value Obs 0.316228 19 0.740083 38 0.316228 13 0.740083 39 0.376060 35 0.740083 41 0.376060 17 0.795271 20 0.376060 12 0.795271 40 Stem Leaf # Boxplot 8 00 2 | 7 | 7 4444 4 | 6 55777 5 +-----+ 6 222 3 | | 5 5566666666689 13 *--+--* 5 1333 4 | | 4 77777 5 +-----+ 4 2 1 | 3 888 3 | 3 22 2 | ----+----+----+----+ Multiply Stem.Leaf by 10**-1 Normal Probability Plot 0.825+ ++++ | ++*+ * | **+** | **+*+ | ++**+ 0.575+ ******* | **+*+ | ****+ | ++*+ | ++** * 0.325+ *+++* +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2