Accession Number : AD0613067

Title :   ON SOME TESTS OF HOMOGENEITY OF VARIANCES.

Descriptive Note : Technical rept.,

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

Personal Author(s) : Puri,Madan L.

Report Date : MAR 1965

Pagination or Media Count : 19

Abstract : For testing the equality of c continuous probability distributions on the basis of c independent random samples, various non-parametric tests for dispersions are offered. These tests, include among others, the multi-sample analogues of the two-sample normal-scores test of dispersion and the tests considered by Ansari and Bradley, Klotz, Mood, and Siegel and Tukey. Under suitable regularity conditions, it is shown that these tests have limiting non-central chi-square distributions with c-1 d.f. The asymptotic relative efficiencies (in the Pitman sense) of these tests relative to one another and the F test, are obtained and are shown to be the same as for the two-sample problem. (Author)

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

Distribution Statement : APPROVED FOR PUBLIC RELEASE