Accession Number : AD0754232

Title :   The Distribution of the Sphericity Test Criterion,

Corporate Author : PURDUE UNIV LAFAYETTE IND

Personal Author(s) : Nagarsenker,B. N. ; Pillai,K. C. S.

Report Date : NOV 1972

Pagination or Media Count : 50

Abstract : The exact distribution of Mauchly's sphericity test criterion W = (absolute value of s)/(tn S/p) sup p where S is the sum of product matrix from a sample of size N taken from a p-variate normal population, is obtained using contour integration and methods similar to those of U. S. Nair and Box. Tables of percentage points for p = 2(1)10, alpha = .005, .01, .025, .05, .1 and .25 and various values of N (including small) are given and comparisons made with approximate percentage points using methods of 1) Box, 2) Mauchly, 3) Tukey and Wilks and 4) Davis. (Author)

Descriptors :   (*STATISTICAL DISTRIBUTIONS, *SAMPLING), MATRICES(MATHEMATICS), POLYNOMIALS, APPROXIMATION(MATHEMATICS), NUMERICAL INTEGRATION, TABLES(DATA)

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE