Range Restrictions for Product-Moment Correlation Matrices

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1981 English Publisher:Cambridge University Press (CUP)Journal:Psychometrika, volume 46, pages 469-472 (issn: 0033-3123, eissn: 1860-0980,

Copyright policy )

Authors: Olkin, Ingram;

doi: 10.1007/bf02293804

Range Restrictions for Product-Moment Correlation Matrices

- Summary
- Subjects
- Metrics

Abstract

It is well-known that for a trivariate distribution if two correlations are fixed the remaining one is constrained. Indeed, if one correlation is fixed, then the remaining two are constrained. Both results are extended to the case of a multivariate distribution. The results are applied to some special patterned matrices.

Related Organizations

Stanford University
United States

Keywords

partial correlation, Measures of association (correlation, canonical correlation, etc.), constrained correlations, multiple correlation, patterned correlation matrices

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	23
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average