Dear Michan; I am also having the same query. As you have explained the three types of alternative hypothesis. My query is, which alternative one sided hypothesis does SAS test for Wilcoxon Rank Sum test. I have 12 questions, and I applied the Wilcoxon test separately for all the questions and compiled the results in a table. You can see that in question Q7 and Q8, P value (P<Z) is <0.0001. But I am not sure what alternative hypothesis is being tested in both the questions? Questions Median Pre Post P<Z P>|Z| Q1 4 4 0.0761 0.1521 Q2 3 3 0.3202 0.6404 Q3 3 3 0.0176 0.0351 Q4 3 4 <.0001 <.0001 Q5 3 4 <.0001 <.0001 Q6 3 4 <.0001 <.0001 Q7 3 4 <.0001 <.0001 Q8 3 2 <.0001 <.0001 Q9 3 4 0.0013 0.0025 Q10 2.5 1 <.0001 <.0001 Q11 3 2.5 0.1027 0.2053 Q12 2.5 2 0.0403 0.0805
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