Generating valid 4 × 4 correlation matrices

Mark Budden, Paul Hadavas, Lorrie Hoffman, Chris Pretz

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

In this article, we provide an algorithm for generating valid 4 × 4 correlation matrices by creating bounds for the remaining three correlations that insure positive semidefiniteness once correlations between one variable and the other three are supplied. This is achieved by attending to the constraints placed on the leading principal minor determinants. Prior work in this area is restricted to 3 × 3 matrices or provides a means to investigate whether a 4 × 4 matrix is valid but does not offer a method of construction. We do offer such a method and supply a computer program to deliver a 4 × 4 positive semidefinite correlation matrix.

Original languageEnglish
Pages (from-to)53-59
Number of pages7
JournalApplied Mathematics E - Notes
Volume7
StatePublished - 2007

Scopus Subject Areas

  • Applied Mathematics

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