Hi. I am doing a lot of non-parametric testing. I am running exact Wilcoxon two-sample tests. However, I am not sure what to report from the SAS output, specifically which "statistic" to report. The outprint provides an "S" statistic and a "Z" statistic, and I'm not sure which one should be reported alng with the p-value. I don't even know what each means. Any advice you can give would be appreciated.
As well, why is the Wilcoxon p-value different than the Kruskal Wallis test p-value? I wlways thought these two tests were comparable with a 2-level independent variable.
First, the standard Wilcoxon (or Mann-Whitney) two sample test is equivalent to the Kruskal-Wallis test when there are just two groups. The p-values are not the same because the normal approximation includes a continuity correction. Form the documentation: "The normal approximation includes a continuity correction. To remove this, you can specify the CORRECT=NO option. "
The "S" statistic is pretty much useless for external reports because it's magnitude is a function of the sample size. There is a one-to-one correspondence between the uncorrected Z statistic and the p-value, so I generally just report the p-value.