The SAS System ------------------------- Treatment Groups=Control ------------------------- The UNIVARIATE Procedure Variable: time (Task Time) Moments N 8 Sum Weights 8 Mean 12.4 Sum Observations 99.2 Std Deviation 3.83144881 Variance 14.68 Skewness -1.9125892 Kurtosis 3.72823563 Uncorrected SS 1332.84 Corrected SS 102.76 Coeff Variation 30.8987807 Std Error Mean 1.35462172 Basic Statistical Measures Location Variability Mean 12.40000 Std Deviation 3.83145 Median 13.45000 Variance 14.68000 Mode . Range 11.50000 Interquartile Range 3.40000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 9.153847 Pr > |t| <.0001 Sign M 4 Pr >= |M| 0.0078 Signed Rank S 18 Pr >= |S| 0.0078 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.766445 Pr < W 0.1124 Kolmogorov-Smirnov D 0.322483 Pr > D 0.0155 Cramer-von Mises W-Sq 0.145272 Pr > W-Sq 0.0218 Anderson-Darling A-Sq 0.828062 Pr > A-Sq 0.0193 Quantiles (Definition 5) Quantile Estimate 100% Max 15.40 99% 15.40 95% 15.40 ------------------------- Treatment Groups=Control ------------------------- The UNIVARIATE Procedure Variable: time (Task Time) Quantiles (Definition 5) Quantile Estimate 90% 15.40 75% Q3 14.95 50% Median 13.45 25% Q1 11.55 10% 3.90 5% 3.90 1% 3.90 0% Min 3.90 Extreme Observations -----Lowest---- ----Highest--- Value Obs Value Obs 3.9 8 13.4 3 10.0 7 13.5 5 13.1 4 14.8 1 13.4 3 15.1 2 13.5 5 15.4 6 Stem Leaf # Boxplot 14 814 3 +-----+ 12 145 3 *--+--* 10 0 1 +-----+ 8 6 4 2 9 1 0 ----+----+----+----+ ------------------------- Treatment Groups=Control ------------------------- The UNIVARIATE Procedure Variable: time (Task Time) Normal Probability Plot 15+ *+++* * | * *+++*++ | * +++++ 9+ +++++ | +++++ | +++++ 3+++++ * +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 ------------------------ Treatment Groups=Treatmnt ------------------------- The UNIVARIATE Procedure Variable: time (Task Time) Moments N 8 Sum Weights 8 Mean 10.1625 Sum Observations 81.3 Std Deviation 3.65198087 Variance 13.3369643 Skewness -1.8622851 Kurtosis 3.57167298 Uncorrected SS 919.57 Corrected SS 93.35875 Coeff Variation 35.9358511 Std Error Mean 1.29117022 Basic Statistical Measures Location Variability Mean 10.16250 Std Deviation 3.65198 Median 11.55000 Variance 13.33696 Mode . Range 11.00000 Interquartile Range 3.40000 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 7.870767 Pr > |t| 0.0001 Sign M 4 Pr >= |M| 0.0078 Signed Rank S 18 Pr >= |S| 0.0078 Tests for Normality Test --Statistic--- -----p Value------ Shapiro-Wilk W 0.787091 Pr < W 0.1208 Kolmogorov-Smirnov D 0.243173 Pr > D >0.1500 Cramer-von Mises W-Sq 0.122056 Pr > W-Sq 0.0458 Anderson-Darling A-Sq 0.736712 Pr > A-Sq 0.0335 Quantiles (Definition 5) Quantile Estimate 100% Max 13.10 99% 13.10 95% 13.10 ------------------------ Treatment Groups=Treatmnt ------------------------- The UNIVARIATE Procedure Variable: time (Task Time) Quantiles (Definition 5) Quantile Estimate 90% 13.10 75% Q3 12.45 50% Median 11.55 25% Q1 9.05 10% 2.10 5% 2.10 1% 2.10 0% Min 2.10 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs 2.1 8 11.0 3 8.0 2 12.1 4 10.1 1 12.2 6 11.0 3 12.7 5 12.1 4 13.1 7 Stem Leaf # Boxplot 12 1271 4 +-----+ 10 10 2 *--+--* 8 0 1 +-----+ 6 4 2 1 1 0 ----+----+----+----+ Normal Probability Plot 13+ * *+++*+ * | * * ++++++ | * +++++ | ++++++ | +++++ 3+ ++++++ * +----+----+----+----+----+----+----+----+----+----+ -2 -1 0 +1 +2 The UNIVARIATE Procedure Variable: time (Task Time) Schematic Plots | 16 + | | | +-----+ | | | 14 + | | | *-----* | | | | | | + | +-----+ 12 + | | | | | +-----+ *-----* | | | | | | | | 10 + | | + | | | | | +-----+ | | 8 + | | | | 6 + | | | 4 + 0 | | | 2 + 0 ------------+-----------+----------- groups Control Treatmnt The TTEST Procedure Statistics Lower CL Upper CL Lower CL Variable groups N Mean Mean Mean Std Dev Std Dev time Control 8 9.1968 12.4 15.603 2.5333 3.8314 time Treatmnt 8 7.1094 10.163 13.216 2.4146 3.652 time Diff (1-2) -1.776 2.2375 6.2512 2.7402 3.7428 Statistics Upper CL Variable groups Std Dev Std Err Minimum Maximum time Control 7.798 1.3546 3.9 15.4 time Treatmnt 7.4328 1.2912 2.1 13.1 time Diff (1-2) 5.9028 1.8714 T-Tests Variable Method Variances DF t Value Pr > |t| time Pooled Equal 14 1.20 0.2517 time Satterthwaite Unequal 14 1.20 0.2517 Equality of Variances Variable Method Num DF Den DF F Value Pr > F time Folded F 7 7 1.10 0.9025 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable time Classified by Variable groups Sum of Expected Std Dev Mean groups N Scores Under H0 Under H0 Score ------------------------------------------------------------------------ Control 8 86.0 68.0 9.521905 10.750 Treatmnt 8 50.0 68.0 9.521905 6.250 Wilcoxon Two-Sample Test Statistic 86.0000 Normal Approximation Z 1.8379 One-Sided Pr > Z 0.0330 Two-Sided Pr > |Z| 0.0661 t Approximation One-Sided Pr > Z 0.0430 Two-Sided Pr > |Z| 0.0860 Z includes a continuity correction of 0.5. Kruskal-Wallis Test Chi-Square 3.5735 DF 1 Pr > Chi-Square 0.0587