On Sensitive Rank Tests for Comparing the Effects of Two Treatments on a Single Group.
Abstract
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 j/(j+1) of the number of comparisons possible under R sub n with large sample efficiency of j/(j+2) 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 = n/2, and small sample efficiency comparisons are carried out for n = 10. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 16, 1972
- Accession Number
- AD0744644
Entities
People
- Hans K. Ury
Organizations
- Stanford University