The spurious correlation of ratios that have common variables: A Monte Carlo examination of Pearson's formula

Details

Ressource 1Request a copyDownload: BIB_0AAB35CC9350.P001.pdf (551.96 [Ko])
State: Deleted
Version: author
Serval ID
serval:BIB_0AAB35CC9350
Type
Article: article from journal or magazin.
Collection
Publications
Title
The spurious correlation of ratios that have common variables: A Monte Carlo examination of Pearson's formula
Journal
Journal of General Psychology
Author(s)
Dunlap W. P., Dietz J., Cortina J. M.
ISSN
0022-1309
Publication state
Published
Issued date
1997
Peer-reviewed
Oui
Volume
124
Number
2
Pages
182-193
Language
english
Abstract
Pearson (1897) investigated correlations of ratios of bone measurements and found that although the correlations among the original measures were low, the correlations among ratios with common measures were about .5. To understand this result, he developed an approximate equation for the correlations of ratios. In the present study, Monte Carlo methods were used to show that Pearson's equation is fairly accurate and that correlations among ratios with common elements (e.g., X/C, Y/C) are indeed at least partly spurious, as Pearson concluded. This finding should serve as a two-fold warning to those who might correlate ratios that have common elements: (a) Interpretation of the observed relationship between such ratios may at best be tenuous, and (b) the relationships among the elements themselves may call into question the usefulness of addressing a hypothesis that can be tested only with a correlation between ratios that share elements.
Web of science
Create date
09/10/2009 10:49
Last modification date
20/08/2019 13:32
Usage data