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Double arcsine transform not appropriate for meta-analysis
1Department of Medical Statistics, University Medical Center Göttingen, Göttingen, Germany.
Abstract:
The variance-stabilizing Freeman-Tukey double arcsine transform was originally proposed for inference on single proportions. Subsequently, its use has been suggested in the context of meta-analysis of proportions. While some erratic behavior has been observed previously, here we point out and illustrate general issues of monotonicity and invertibility that make this transform unsuitable for meta-analysis purposes.
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