Order statistics are used to derive significance tests for the population median which are valid under very general conditions. These tests are approximately as powerful as the student t-test for small samples from a normal population. Also the application of a test requires very little computation. Thus the tests derived compare very favorably with the t-test for small sets of observations. Applications of these order statistic tests to certain well known statistical problems are given in another paper ("Applications of some significance tests for the median which are valid under very general conditions," Journal of the American Statistical Association, v. 44, no. 247, Sep. 1949, p. 342-355).
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