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Double arcsine transform not appropriate for meta-analysis.

Christian Röver1, Tim Friede1

  • 1Department of Medical Statistics, University Medical Center Göttingen, Göttingen, Germany.

Research Synthesis Methods
|July 15, 2022
PubMed
Summary
This summary is machine-generated.

The Freeman-Tukey double arcsine transform is not suitable for meta-analysis of proportions. Issues with monotonicity and invertibility make it unreliable for combining study results.

Keywords:
Freeman-Tukeyprevalencesproportionsvariance stabilizing transform

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Area of Science:

  • Biostatistics
  • Statistical Methods
  • Medical Research

Background:

  • The Freeman-Tukey double arcsine transform stabilizes variance for single proportions.
  • Its application has been extended to meta-analysis of proportions.
  • Previous studies noted some erratic behavior of this transform.

Purpose of the Study:

  • To identify and illustrate general issues with the Freeman-Tukey double arcsine transform in meta-analysis.
  • To demonstrate the unsuitability of this transform for meta-analysis of proportions.

Main Methods:

  • Analysis of the mathematical properties of the Freeman-Tukey double arcsine transform.
  • Illustration of monotonicity and invertibility problems.
  • Evaluation of transform's behavior in meta-analysis context.

Main Results:

  • The Freeman-Tukey double arcsine transform exhibits general issues with monotonicity.
  • The transform also presents problems with invertibility.
  • These issues collectively render the transform inappropriate for meta-analysis.

Conclusions:

  • The Freeman-Tukey double arcsine transform is not recommended for meta-analysis of proportions.
  • Researchers should avoid using this transform due to its inherent limitations.
  • Alternative methods are needed for reliable meta-analysis of proportional data.