Imagine that two groups of cancer patients are compared, the first group having a rapidly progressing form of the disease and the other having a slowly progressing form instead.
At issue is whether psychological factors are related to the progression of cancer. The outcome measure is one where highly negative scores indicate a tendency to present the appearance of serenity in the presence of stress. The results are
|
Group 1:
|
-25
|
-24
|
-22
|
-22
|
-21
|
-18
|
-18
|
-18
|
|
|
-18
|
-17
|
-16
|
-14
|
-14
|
-13
|
-13
|
-13
|
|
|
-13
|
-9
|
-8
|
-7
|
-5
|
1
|
3
|
7
|
|
|
7
|
|
|
|
|
|
|
|
|
Group 2:
|
-21
|
-18
|
-16
|
-16
|
-16
|
-14
|
-13
|
-13
|
|
|
-12
|
-11
|
-11
|
-11
|
-9
|
-9
|
-9
|
-9
|
|
|
-7
|
-6
|
-3
|
-2
|
3
|
10
|
|
|
Verify that the Wilcoxon-Mann-Whitney test rejects at the 0.05 level, but none of the other methods in Section 8.8 reject. What might explain this?