Accession Number : AD0766668

Title :   Bahadur Efficiency of the Randomized Rank Statistics of Bell and Doksum.

Descriptive Note : Technical rept.,

Corporate Author : FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Personal Author(s) : Clickner,Robert P. ; Sethuraman,J.

Report Date : AUG 1973

Pagination or Media Count : 23

Abstract : Bell and Doksum have introduced a class of statistics (T sub N)(H), called randomized rank statistics, as alternatives to a large class of two-sample linear rank statistics (S sub N)(H) and showed that the pitman asymptotic relative efficiency (ARE) of (T sub N)(H) with respect to (S sub N)(H) is unity. The tests based on the randomized rank tests have been subject to much criticism, but all these criticisms seem to relate to poor performances in finite samples. It is shown that the Bahadur Asymptotic relative efficiency of (T sub N)(H) relative to (S sub N)(H) is less than one, under mild regularity conditions. When normal scores are used, the Bahadur ARE is shown to decrease as the alternative recedes from the null hypothesis. The same phenomenon is illustrated by analytic methods and numerical computations in some other situations. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, EFFICIENCY), RANDOM VARIABLES, DISTRIBUTION FUNCTIONS, SAMPLING, THEOREMS

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE