Analysis of EX 6.75 Experiment                                               7

The TTEST Procedure

                                Statistics

                             Lower CL          Upper CL  Lower CL
Variable  treatment       N      Mean    Mean      Mean   Std Dev  Std Dev

response  Group_1         8    13.616  14.538    15.459    0.7285   1.1019
response  Group_2         8    7.6276   8.375    9.1224    0.5911    0.894
response  Diff (1-2)           5.0865  6.1625    7.2385    0.7346   1.0033

                          Statistics

                      Upper CL
Variable  treatment    Std Dev    Std Err    Minimum    Maximum

response  Group_1       2.2426     0.3896       12.8       15.9
response  Group_2       1.8196     0.3161        6.8        9.5
response  Diff (1-2)    1.5824     0.5017


                               T-Tests

Variable    Method           Variances      DF    t Value    Pr > |t|

response    Pooled           Equal          14      12.28      <.0001
response    Satterthwaite    Unequal      13.4      12.28      <.0001


                    Equality of Variances

Variable    Method      Num DF    Den DF    F Value    Pr > F

response    Folded F         7         7       1.52    0.5948
Wilcoxon rank sum analysis of Ex 6.75 experiment                             8

The NPAR1WAY Procedure

            Wilcoxon Scores (Rank Sums) for Variable response
                    Classified by Variable treatment

                         Sum of      Expected       Std Dev          Mean
treatment       N        Scores      Under H0      Under H0         Score
ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ
Group_1         8         100.0          68.0      9.521905         12.50
Group_2         8          36.0          68.0      9.521905          4.50


   Wilcoxon Two-Sample Test

Statistic             100.0000

Normal Approximation
Z                       3.3082
One-Sided Pr >  Z       0.0005
Two-Sided Pr > |Z|      0.0009

t Approximation
One-Sided Pr >  Z       0.0024
Two-Sided Pr > |Z|      0.0048

Z includes a continuity correction of 0.5.


     Kruskal-Wallis Test

Chi-Square             11.2941
DF                           1
Pr > Chi-Square         0.0008