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Performance of Bias-Detection Methods in Psychological Meta-Analysis: A Large-Scale Simulation Study

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Abstract

Meta-analyses are routinely assessed for publication bias, yet the relative performance of bias-detection methods under realistic conditions remains unclear, particularly when bias may arise from both selective publication and questionable research practices (QRPs). We present a large-scale simulation study evaluating 21 commonly used biasdetection methods across 864 conditions varying in true effect size, effect size heterogeneity, number of studies, publication bias, and QRPs. Data were generated using the simulation framework of Carter et al. (2019), which jointly models publication bias and QRPs. Results show that heterogeneity is the primary determinant of method performance because it strongly influences false positive rates of many methods. When heterogeneity was low to moderate, TESS performed best overall. When heterogeneity was high, selection models performed best in small to medium meta-analyses, and caliper tests performed best in large meta-analyses. Precision–based methods, including variants of Egger’s test, performed poorly and often exhibited inflated false-positive rates under heterogeneity. These findings suggest that biasdetection methods should be selected based on heterogeneity and the number of studies rather than applied routinely, with TESS providing a strong general-purpose test across many settings.

Suggested Citation

  • Sanghyun Hong & W. Robert Reed & R.C.M van Aert & M.A.L.M van Assen, 2026. "Performance of Bias-Detection Methods in Psychological Meta-Analysis: A Large-Scale Simulation Study," Working Papers in Economics 26/03, University of Canterbury, Department of Economics and Finance.
  • Handle: RePEc:cbt:econwp:26/03
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    File URL: https://repec.canterbury.ac.nz/cbt/econwp/2603.pdf
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    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C87 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Econometric Software

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