Arbeitspapier

Reducing the biases of the conventional meta-analysis of correlations

Conventional meta-analyses of correlations are biased due to the correlation between the estimated correlation and its standard error. Simulations that are closely calibrated to match actual research conditions widely seen across correlational studies in psychology corroborate these biases and suggest a solution. UWLS+3 is a simple inverse-variance weighted average (the unrestricted weighted least squares) that adjusts the degrees of freedom and thereby reduces small-sample bias to scientific negligibility. UWLS+3 is also less biased than conventional random-effects estimates of correlations and Fisher’s z, whether or not there is publication selection bias. However, publication selection bias remains a ubiquitous source of bias and false positive findings. Despite the correlation between the estimated correlation and its standard error even in the absence of any selective reporting, the precision-effect test/precision-effect estimate with standard error (PET-PEESE) nearly eradicates publication selection bias. PET-PEESE keeps the rate of false positives (i.e., type I errors) within their nominal levels under the typical conditions widely seen across psychological research and with or without publication selection bias.

Sprache
Englisch

Klassifikation
Wirtschaft
Survey Methods; Sampling Methods
Thema
correlations
meta-analysis
publication selection bias
small-sample bias

Ereignis
Geistige Schöpfung
(wer)
Stanley, T. D.
Doucouliagos, Hristos
Havranek, Tomas
Ereignis
Veröffentlichung
(wer)
ZBW - Leibniz Information Centre for Economics
(wo)
Kiel, Hamburg
(wann)
2023

Handle
Letzte Aktualisierung
10.03.2025, 11:41 MEZ

Datenpartner

Dieses Objekt wird bereitgestellt von:
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. Bei Fragen zum Objekt wenden Sie sich bitte an den Datenpartner.

Objekttyp

  • Arbeitspapier

Beteiligte

  • Stanley, T. D.
  • Doucouliagos, Hristos
  • Havranek, Tomas
  • ZBW - Leibniz Information Centre for Economics

Entstanden

  • 2023

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