Cited by 194Paranormal Experiences and BeliefsStatistical Methods and Bayesian InferenceMeta-analysis and systematic reviews

A Bayes factor meta-analysis of Bem’s ESP claim

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Rouder, Jeffrey N., Morey, Richard D.·2011·Psychonomic Bulletin & Review

Abstract

In recent years, statisticians and psychologists have provided the critique that p-values do not capture the evidence afforded by data and are, consequently, ill suited for analysis in scientific endeavors. The issue is particular salient in the assessment of the recent evidence provided for ESP by Bem (2011) in the mainstream Journal of Personality and Social Psychology. Wagenmakers, Wetzels, Borsboom, and van der Maas (Journal of Personality and Social Psychology, 100, 426-432, 2011) have provided an alternative Bayes factor assessment of Bem's data, but their assessment was limited to examining each experiment in isolation. We show here that the variant of the Bayes factor employed by Wagenmakers et al. is inappropriate for making assessments across multiple experiments, and cannot be used to gain an accurate assessment of the total evidence in Bem's data. We develop a meta-analytic Bayes factor that describes how researchers should update their prior beliefs about the odds of hypotheses in light of data across several experiments. We find that the evidence that people can feel the future with neutral and erotic stimuli to be slight, with Bayes factors of 3.23 and 1.57, respectively. There is some evidence, however, for the hypothesis that people can feel the future with emotionally valenced nonerotic stimuli, with a Bayes factor of about 40. Although this value is certainly noteworthy, we believe it is orders of magnitude lower than what is required to overcome appropriate skepticism of ESP.

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  1. Jeffreys, H. (1961). Theory of probability (3rd ed.). New York: Oxford University Press.
  2. Wagenmakers, E.-J. (2007). A practical solution to the pervasive problem of p values. Psychonomic Bulletin &Review, 14, 779- 804.
  3. Zellner, A. (1986). On assessing prior distirbutions and Bayesian regression analysis with g-prior distribution. In P. K. Goel & A. Zellner (Eds.), Bayesian inference and decision techniques: Essays in honour of Bruno de Finetti (pp. 233-243). Amsterdam: North Holland.

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Authors
Rouder, J. N., & Morey, R. D.
Affiliations
  • University of Missouri (US)
  • University of Groningen (NL)
Corresponding author
Rouder, Jeffrey N.
Venue
Psychonomic Bulletin & Review
Published
2011-05-15
Volume
18
Issue
4
Pages
682-689
ISSN
  • 1069-9384 (ISSN-L)
  • 1531-5320
OpenAlex
W2155061836
Cited by
194
References
22
Citations by year
2026: 3 · 2025: 3 · 2024: 7 · 2023: 6 · 2022: 12 · 2021: 21 · 2020: 17 · 2019: 13 · 2018: 18 · 2017: 17 · 2016: 22 · 2015: 13 · 2014: 14 · 2013: 11 · 2012: 10
FWCI
1.80
Type
journal article
Language
en
Open access
Locations
  • Psychonomic Bulletin & Review (publishedVersion)
  • PubMed (publishedVersion)
  • University of Groningen research database (University of Groningen / Centre for Information Technology) (publishedVersion, other-oa)
  • ORCA Online Research @Cardiff (Cardiff University) (submittedVersion)
  • University of Groningen research database (University of Groningen / Centre for Information Technology) (submittedVersion)
Topics
  • Social Sciences › Psychology › Social Psychology › Paranormal Experiences and Beliefs
  • Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
  • Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Meta-analysis and systematic reviews
Keywords
extrasensory perception, Bayes factor, prior updating, erotic stimuli, emotional valence, skepticism
MeSH terms
Bayes Theorem, Data Interpretation, Statistical, Humans, Parapsychology, Models, Statistical

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