0Rank Sum Test: The medians test and the examination of the math test scores in Section reduce every observation of a coin toss. Specifically, the medians test judges every observation as being either above or below the pooled sample median. The actual magnitude of every observation is lost. It does not matter how far above or below the median an observation is. Does this seem like a tremendous loss of information? Rank methods meet this loss halfway: Instead of reducing all observations to binary above\below status, rank methods replace the actual observations with their order when the data is sorted.
