Double arcsine transform not appropriate for meta-analysis

Res Synth Methods. 2022 Sep;13(5):645-648. doi: 10.1002/jrsm.1591. Epub 2022 Jul 22.

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.

Keywords: Freeman-Tukey; prevalences; proportions; variance stabilizing transform.