Accession Number:

AD0735453

Title:

The Degrees of Freedom of the Chi square-Test of Dimensionality

Descriptive Note:

Technical rept.

Corporate Author:

SOUTHERN METHODIST UNIV DALLAS TX DEPT OF STATISTICAL SCIENCE

Personal Author(s):

• Kshirsagar, Anant M.

Report Date:

1971-05-01

Pagination or Media Count:

8.0

Abstract:

Wani and Kabe abbreviated as W K hereafter have recently given an elegant derivation of the likelihood ratio criterion for testing the hypothesis H sub 0 that the dimensionality of the space of the means of k p-variate normal populations is s. The main difference between their derivation and the one given in Rao is that Rao uses geometrical terminology while W Ks derivation is completely analytical. However, Their proof is incomplete without the degrees of freedom of the Chi square -test. The object of this note is therefore to derive the number of d.f. here analytically and complete the W K derivation.

Descriptors:

• *OPTIMIZATION
• MATRICES(MATHEMATICS)
• ALGEBRA
• POPULATION(MATHEMATICS)

Subject Categories:

• Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE