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

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Etat: Supprimée
Version: de l'auteur⸱e
ID Serval
serval:BIB_0AAB35CC9350
Type
Article: article d'un périodique ou d'un magazine.
Collection
Publications
Titre
The spurious correlation of ratios that have common variables: A Monte Carlo examination of Pearson's formula
Périodique
Journal of General Psychology
Auteur⸱e⸱s
Dunlap W. P., Dietz J., Cortina J. M.
ISSN
0022-1309
Statut éditorial
Publié
Date de publication
1997
Peer-reviewed
Oui
Volume
124
Numéro
2
Pages
182-193
Langue
anglais
Résumé
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.
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Création de la notice
09/10/2009 10:49
Dernière modification de la notice
20/08/2019 13:32
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