
Accession Number : AD0428118
Title : ASYMPTOTIC EFFICIENCY OF A CLASS OF CSAMPLE 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 csample problem is considered by examining the 2sample problem and generalizing the results obtained by other authors. The resulting Ltest 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 Htest, Terpestra's Ksample test, FisherYatesTerryHoeffding normal score test, and Van der Waerden's 2sample 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