Imagine 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. At issue is whether psychological factors are related to the progression of cancer. The outcome measure is one where highly negative scores indicated 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.
Compare these groups with Wilcoxon-Mann-Whitney test using α = .05.