Paired Wilcoxon Rank-Sum Test for Mean Comparison 1 (Also called as Mann-Whitney Test) 14:27 Tuesday, March 30, 2004 Obs Alloy Stress 1 1 3238 2 1 3254 3 1 3195 4 1 3229 5 1 3246 6 1 3225 7 1 3190 8 1 3217 9 1 3204 10 1 3241 11 2 3261 12 2 3248 13 2 3187 14 2 3215 15 2 3209 16 2 3226 17 2 3212 18 2 3240 19 2 3258 20 2 3234 Paired Wilcoxon Rank-Sum Test for Mean Comparison 2 (Also called as Mann-Whitney Test) 14:27 Tuesday, March 30, 2004 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable Stress Classified by Variable Alloy Sum of Expected Std Dev Mean Alloy N Scores Under H0 Under H0 Score --------------------------------------------------------------------- 1 10 99.0 105.0 13.228757 9.90 2 10 111.0 105.0 13.228757 11.10 Wilcoxon Two-Sample Test Statistic 99.0000 Normal Approximation Z -0.4158 One-Sided Pr < Z 0.3388 Two-Sided Pr > |Z| 0.6776 t Approximation One-Sided Pr < Z 0.3411 Two-Sided Pr > |Z| 0.6822 Z includes a continuity correction of 0.5. Kruskal-Wallis Test Chi-Square 0.2057 DF 1 Pr > Chi-Square 0.6501 Paired Wilcoxon Rank-Sum Test for Mean Comparison 3 (Also called as Mann-Whitney Test) 14:27 Tuesday, March 30, 2004 The NPAR1WAY Procedure Median Scores (Number of Points Above Median) for Variable Stress Classified by Variable Alloy Sum of Expected Std Dev Mean Alloy N Scores Under H0 Under H0 Score --------------------------------------------------------------------- 1 10 5.0 5.0 1.147079 0.50 2 10 5.0 5.0 1.147079 0.50 Median Two-Sample Test Statistic 5.0000 Z 0.0000 One-Sided Pr < Z 0.5000 Two-Sided Pr > |Z| 1.0000 Median One-Way Analysis Chi-Square 0.0000 DF 1 Pr > Chi-Square 1.0000 Paired Wilcoxon Rank-Sum Test for Mean Comparison 4 (Also called as Mann-Whitney Test) 14:27 Tuesday, March 30, 2004 The NPAR1WAY Procedure Kolmogorov-Smirnov Test for Variable Stress Classified by Variable Alloy EDF at Deviation from Mean Alloy N Maximum at Maximum -------------------------------------------------- 1 10 0.30 0.316228 2 10 0.10 -0.316228 Total 20 0.20 Maximum Deviation Occurred at Observation 9 Value of Stress at Maximum = 3204.0 Kolmogorov-Smirnov Two-Sample Test (Asymptotic) KS 0.100000 D 0.200000 KSa 0.447214 Pr > KSa 0.9883 Cramer-von Mises Test for Variable Stress Classified by Variable Alloy Summed Deviation Alloy N from Mean ----------------------------------------- 1 10 0.02750 2 10 0.02750 Cramer-von Mises Statistics (Asymptotic) CM 0.002750 CMa 0.055000 Kuiper Test for Variable Stress Classified by Variable Alloy Deviation Alloy N from Mean ------------------------------- 1 10 0.20 2 10 0.10 Kuiper Two-Sample Test (Asymptotic) K 0.300000 Ka 0.670820 Pr > Ka 0.9986