We expect that the closest interpoint distance (the first order statistic) to perform the best in the discrimination task of distinguishing point data sets generated under the Null hypothesis from those generated under the Alternative hypothesis. Then the successive order statistics to perform in an increasing degrading manner. From this naive point of view we expect that the Fisher weights will all be positive, with the highest weights for the first order statistic. The table below shows the Fisher weights to four significant places. They are not all positive!