Example 1 - Student grades - are they different?

student1 student2
   65         63
   78         69
   68         70
   61

Mann-Whitney Test and CI: student1, student2

          N  Median
student1  4   66.50
student2  3   69.00

Point estimate for ETA1-ETA2 is -1.50
94.8 Percent CI for ETA1-ETA2 is (-9.00,15.00)
W = 15.0
Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.8597
 

Example 2 - Student grades - is student 1 better?

student1 student2
   70         68
   68         63
   72         69
   72         65
   70
Mann-Whitney Test and CI: student1, student2

          N  Median
student1  5  70.000
student2  4  66.500

Point estimate for ETA1-ETA2 is 4.000
96.3 Percent CI for ETA1-ETA2 is (-0.001,8.999)
W = 33.5
Test of ETA1 = ETA2 vs ETA1 > ETA2 is significant at 0.0250
The test is significant at 0.0236 (adjusted for ties)
 
 
 
 

Example - Reaction Time under Drugs A and B

  A        B
1.96    2.11
2.24    2.43
1.71    2.07
2.41    2.71
1.62    2.50
1.93    2.84
           2.88
 

Mann-Whitney Test and CI: Drug A, Brug B

    N  Median
A  6  1.9450
B  7  2.5000
 

Point estimate for ETA1-ETA2 is -0.4950
96.2 Percent CI for ETA1-ETA2 is (-0.9497,-0.1099)
W = 25.0
Test of ETA1 = ETA2 vs ETA1 not = ETA2 is significant at 0.0184