The Use of Fisher’s Z in Schmidt-Hunter–type Meta-Analyses

Kenneth S. Law

Journal of Educational and Behavioral Statistics, 1995, vol. 20, issue 3, 287-306

Abstract: Over the past few years, there has been some dispute as to whether Fisher’s Z or the Pearson correlation (r) should be used in Schmidt-Hunter–type meta-analyses. The two major reasons that Z has not been recommended are the possibly larger positive bias in estimating mean population correlation (M Ï ) and the problem of estimating the standard deviation of population correlations (SD Ï ). In this study, two new methods of estimating M Ï and SD Ï by using Z are suggested and tested by Monte Carlo simulations. The results show no consistent advantage to using r instead of Z or vice versa in estimating both M Ï and SD Ï In fact, the estimated M Ï and SD Ï from all three methods were highly similar and were almost identical when rounded off.

Keywords: meta-analysis; Fisher’s Z; Monte Carlo (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:20:y:1995:i:3:p:287-306

DOI: 10.3102/10769986020003287

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