Accession Number : AD0744644

Title :   On Sensitive Rank Tests for Comparing the Effects of Two Treatments on a Single Group.

Descriptive Note : Technical rept.,

Corporate Author : STANFORD UNIV CALIF DEPT OF STATISTICS

Personal Author(s) : Ury,Hans K.

Report Date : 16 JUN 1972

Pagination or Media Count : 32

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)

Descriptors :   (*STATISTICAL TESTS, DISTRIBUTION FUNCTIONS), SAMPLING, RANDOM VARIABLES, ASYMPTOTIC SERIES, TABLES(DATA)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE