Accession Number : AD0428118

Title :   ASYMPTOTIC EFFICIENCY OF A CLASS OF C-SAMPLE TESTS,

Corporate Author : NEW YORK UNIV N Y COURANT INST OF MATHEMATICAL SCIENCES

Personal Author(s) : Puri,Madan Lal

Report Date : NOV 1963

Pagination or Media Count : 40

Abstract : A c-sample problem is considered by examining the 2-sample problem and generalizing the results obtained by other authors. The resulting L-test for testing the equality of c continuous probaility distributions on the basis of c independent random samples is proposed. Under suitable regularity conditions and certain assumptions concerning the distribution function, the limiting distribution of L is derived. A number of well known tests are included; e.g. the KruskalWallis H-test, Terpestra's K-sample test, Fisher-Yates-Terry-Hoeffding normal score test, and Van der Waerden's 2-sample test. The asymptotic relative efficiencies in Pitman's sense are obtained and shown to be independent of the number of samples. (Author)

Descriptors :   (*STATISTICAL TESTS, MATHEMATICAL ANALYSIS), ANALYSIS OF VARIANCE, DISTRIBUTION THEORY, STATISTICAL ANALYSIS, PROBABILITY, STATISTICAL DISTRIBUTIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE