p-Uniform* is an estimator of the three-parameter selection model: Commentary on van Aert and van Assen (2026)

Authors

James E. Pustejovsky

Published

March 9, 2026

Van Aert and Van Assen (2026) introduced a novel method called p-uniform* for estimating average effect size in meta-analyses subject to publication bias. They characterized the method as a distinct, more parsimonious model than the well-known three-parameter selection model (3PSM) of Hedges (1992). I argue that p-uniform* is not a distinct model, but rather a different estimator of the average effect size and heterogeneity parameters of the 3PSM. The p-uniform* estimator coincides with the maximum likelihood estimator of the 3PSM when all included effects have identical sampling variances; otherwise, the estimators differ. Before p-uniform* is used in applications, its properties should be thoroughly explored in simulations under realistic data-generating processes with primary studies that vary in sample size.

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Citation

BibTeX citation:
@misc{pustejovsky2026,
  author = {Pustejovsky, James E.},
  title = {P-Uniform* Is an Estimator of the Three-Parameter Selection
    Model: {Commentary} on van {Aert} and van {Assen} (2026)},
  date = {2026-03-09},
  url = {https://osf.io/preprints/metaarxiv/5mcs9_v1},
  doi = {10.31222/osf.io/5mcs9_v1},
  langid = {en}
}
For attribution, please cite this work as:
Pustejovsky, J. E. (2026). p-Uniform* is an estimator of the three-parameter selection model: Commentary on van Aert and van Assen (2026). https://doi.org/10.31222/osf.io/5mcs9_v1