Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/286363 
Year of Publication: 
2023
Series/Report no.: 
IES Working Paper No. 34/2023
Publisher: 
Charles University in Prague, Institute of Economic Studies (IES), Prague
Abstract: 
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.
Subjects: 
correlations
meta-analysis
publication selection bias
small-sample bias
JEL: 
C83
Document Type: 
Working Paper

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