Title

An Approximation for the Test of the Equality of the Smallest Eigenvalues of a Covariance Matrix

Authors

Authors

J. R. Schott

Comments

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Abbreviated Journal Title

Commun. Stat.-Theory Methods

Keywords

Asymptotic distribution; Likelihood ratio test; Test of sphericity; Statistics & Probability

Abstract

A limiting distribution of the likelihood ratio statistic for the test of the equality of the q smallest eigenvalues of a covariance matrix is obtained. This distribution can be used as an alternative to the chi-squared distribution which is usually used with this test. It is shown that this new method yields reasonable significance levels for those situations in which the chi-squared approximation is inadequate.

Journal Title

Communications in Statistics-Theory and Methods

Volume

41

Issue/Number

24

Publication Date

1-1-2012

Document Type

Article

Language

English

First Page

4439

Last Page

4443

WOS Identifier

WOS:000315142700006

ISSN

0361-0926

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