Fisher transformation based confidence intervals of correlations in fixed- and random-effects meta-analysis

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dc.contributor.authorWelz, Thilo
dc.contributor.authorDoebler, Philipp
dc.contributor.authorPauly, Markus
dc.date.accessioned2022-04-12T07:12:14Z
dc.date.available2022-04-12T07:12:14Z
dc.date.issued2021-05-02
dc.description.abstractMeta-analyses of correlation coefficients are an important technique to integrate results from many cross-sectional and longitudinal research designs. Uncertainty in pooled estimates is typically assessed with the help of confidence intervals, which can double as hypothesis tests for two-sided hypotheses about the underlying correlation. A standard approach to construct confidence intervals for the main effect is the Hedges-Olkin-Vevea Fisher-z (HOVz) approach, which is based on the Fisher-z transformation. Results from previous studies (Field, 2005, Psychol. Meth., 10, 444; Hafdahl and Williams, 2009, Psychol. Meth., 14, 24), however, indicate that in random-effects models the performance of the HOVz confidence interval can be unsatisfactory. To this end, we propose improvements of the HOVz approach, which are based on enhanced variance estimators for the main effect estimate. In order to study the coverage of the new confidence intervals in both fixed- and random-effects meta-analysis models, we perform an extensive simulation study, comparing them to established approaches. Data were generated via a truncated normal and beta distribution model. The results show that our newly proposed confidence intervals based on a Knapp-Hartung-type variance estimator or robust heteroscedasticity consistent sandwich estimators in combination with the integral z-to-r transformation (Hafdahl, 2009, Br. J. Math. Stat. Psychol., 62, 233) provide more accurate coverage than existing approaches in most scenarios, especially in the more appropriate beta distribution simulation model.en
dc.identifier.urihttp://hdl.handle.net/2003/40850
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-22707
dc.language.isoende
dc.relation.ispartofseriesBr. J. Math. Stat. Psychol.;75(1)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectMeta-analysisen
dc.subjectCorrelationsen
dc.subjectConfidence intervalsen
dc.subjectFisher's z transformationen
dc.subjectMonte-Carlo-simulationen
dc.subject.ddc310
dc.titleFisher transformation based confidence intervals of correlations in fixed- and random-effects meta-analysisen
dc.typeTextde
dc.type.publicationtypearticlede
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationWelz, T., Doebler, P. and Pauly, M. (2022), Fisher transformation based confidence intervals of correlations in fixed- and random-effects meta-analysis. Br J Math Stat Psychol, 75: 1-22. https://doi.org/10.1111/bmsp.12242de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1111/bmsp.12242de

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