This paper developed a rank based test statistic for testing the
equality of two population medians. Instead of taking the
differences between pairs of observations and using these differences with the signs test or taking the absolute values of
these differences assigning them ranks and applying the Wilcoxon
signed sum rank test, one may first assign ranks to members of
the paired observations then used them to develop a rank – based
test statistic for testing the equality of two populations. From the
above result, the proposed method is observed to be more
efficient than the Wilcoxon Signed rank sum test which in turn is
more efficient than the ordinary sign test since it uses all available
information quite unlike the ordinary Sign test and Wilcoxon
signed rank sum test that ignores zero differences. Also it was
observed that it had an added advantage over these ones since it
enables the statistical comparison of the medians of two related
populations that are measurements on as low as the ordinal scale