Paired Wilcoxon Rank-Sum Test for Mean Comparison 1 (Also called as Mann-Whitney Test) 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) 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