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The Dogmatic Mixture Model Overestimates False Positives

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  • Schimmack, Ulrich
  • Brunner, Jerry

Abstract

The Bayesian Mixture Model (Gronau et al., 2017) imposes a dogmatic prior on the standard deviation of the z-curve under H1 (for true hypotheses). When actual data have a standard deviation greater than 1, this dogmatic prior leads to inflated estimates of the false positive rate. We demonstrate that false positive estimates decrease when the dogmatic prior is replaced by a free prior. The estimate for cognitive psychology dropped from 40% to 11%. The estimate for social psychology dropped from 62% to 40%. We discuss these results in the context of other meta-analytic models that assume selection for statistically significance.

Suggested Citation

  • Schimmack, Ulrich & Brunner, Jerry, 2019. "The Dogmatic Mixture Model Overestimates False Positives," MetaArXiv f6y3x, Center for Open Science.
    • Handle: RePEc:osf:metaar:f6y3x
    DOI: 10.31219/osf.io/f6y3x
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