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