On Sensitive Rank Tests for Comparing the Effects of Two Treatments on a Single Group.
STANFORD UNIV CALIF DEPT OF STATISTICS
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The rank test R sub n of Cronholm and Revusky 1965 in effect doubles the number of comparisons carried out in the Mann-Whitney test between Treated and Control subjects chosen from a single group of n and triples the asymptotic efficiency against shift alternatives by using a series of n-1 subexperiments. However, the full series can be too costly or time-consuming. It is shown that j appropriately chosen subexperiments will permit one to make at least jj1 of the number of comparisons possible under R sub n with large sample efficiency of jj2 relative to R sub n against shift alternatives and small sample efficiency greater than that, j 2 3,...,n-2. The resulting test criterion is a sum of j independent Mann-Whitney test statistics. Its null distribution is tabulated for or 10 and j or n2, and small sample efficiency comparisons are carried out for n 10. Author
- Statistics and Probability