Volltext herunterladen
(externe Quelle)
Zitationshinweis
Bitte beziehen Sie sich beim Zitieren dieses Dokumentes immer auf folgenden Persistent Identifier (PID):
https://doi.org/10.1525/collabra.87615
Export für Ihre Literaturverwaltung
A Brief Note on the Standard Error of the Pearson Correlation
[Zeitschriftenartikel]
Abstract The product-moment correlation is a central statistic in psychological research including meta-analysis. Unfortunately, it has a rather complex sampling distribution which leads to sample correlations that are biased indicators of the respective population correlations. Moreover, there seems to be s... mehr
The product-moment correlation is a central statistic in psychological research including meta-analysis. Unfortunately, it has a rather complex sampling distribution which leads to sample correlations that are biased indicators of the respective population correlations. Moreover, there seems to be some uncertainty on how to properly calculate the standard error of these correlations. Because no simple analytical solution exists, several approximations have been previously introduced. This note aims to briefly summarize 10 different ways to calculate the standard error of the Pearson correlation. Moreover, a simulation study on the accuracy of these estimators compared their relative percentage biases for different population correlations and sample sizes. The results showed that all estimators were largely unbiased for sample sizes of at least 40. For smaller samples, a simple approximation by Bonett (2008) led to the least biased results. Based on these results, it is recommended to use the expression (1-r²) / √N-3 for the calculation of the standard error of the Pearson correlation.... weniger
Klassifikation
Erhebungstechniken und Analysetechniken der Sozialwissenschaften
Freie Schlagwörter
correlation; sampling distribution; standard error; Pearson correlation
Sprache Dokument
Englisch
Publikationsjahr
2023
Zeitschriftentitel
Collabra: Psychology, 9 (2023) 1
ISSN
2474-7394
Status
Veröffentlichungsversion; begutachtet (peer reviewed)
Lizenz
Creative Commons - Namensnennung 4.0
FörderungDie Publikation wurde durch den Publikationsfonds der Leibniz-Gemeinschaft für Artikel in Open-Access-Zeitschriften gefördert.