Accession Number : AD0693043

Title :   TESTING EQUALITY OF MEANS IN A p-VARIATE NORMAL DISTRIBUTION HAVING EQUAL VARIANCES AND EQUAL CORRELATION COEFFICIENTS.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Stracener,Jerrell T.

Report Date : 16 JUL 1969

Pagination or Media Count : 39

Abstract : The null hypothesis H sub zero: mu = mu*, where mu and mu* are p x 1 vectors is to be tested on the basis of a sample of size n, from a p-variate normal population having equal variances and equal correlation coefficients. Since mu can be either specified or unspecified, and sigma squared and rho can be either known or unknown, there are eight cases of the null hypothesis to consider. One of these cases has been considered by S. S. Wilks. In this paper four of the remaining seven cases are considered. The test criterion will be derived by the likelihood-ratio method for each case.

Descriptors :   (*STATISTICAL DISTRIBUTIONS, MULTIVARIATE ANALYSIS), STATISTICAL TESTS, MATRICES(MATHEMATICS), SAMPLING, THESES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE