Accession Number : AD0694440

Title :   DIRECTION AND COLLINEARITY STATISTICS IN DISCRIMINANT ANALYSIS.

Descriptive Note : Technical rept.,

Corporate Author : SOUTHERN METHODIST UNIV DALLAS TEX DEPT OF STATISTICS

Personal Author(s) : Kshirsagar,A. M.

Report Date : 20 AUG 1969

Pagination or Media Count : 12

Abstract : Discrimination among several groups can be achieved with the help of a single optimum linear combination of correlated characters, if and only if all other linear combinations uncorrelated with it have no mean differences among the groups; and so, one is interested often in testing the goodness of fit of a hypothetical linear function for discrimination. The hypothetical function may not be good enough either (a) because the group means are not collinear, or (b) because the direction of the proposed function does not agree with the direction of the line on which the group means lie. Test statistics for these two aspects, (a) and (b), had been derived by Bartlett. In this paper, the distributions of these test statistics are derived by a simple analytical method instead of the geometrical devices used by Bartlett. (Author)

Descriptors :   (*STATISTICAL ANALYSIS, CLASSIFICATION), FACTOR ANALYSIS, MULTIVARIATE ANALYSIS, CORRELATION TECHNIQUES, STATISTICAL DISTRIBUTIONS, STATISTICAL TESTS, SAMPLING

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE