Must Psychologists Change the Way They Analyze Their Data?
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Plain English Summary
When Wagenmakers and colleagues claimed a Bayesian reanalysis of Bem's precognition experiments showed no evidence for psi, Bem fired back. The crux? It all comes down to your "prior" β the assumptions baked into the math before looking at data. Wagenmakers used a broad prior placing 57% probability on huge effect sizes, which Bem's team called absurd. Swap in a realistic prior based on known effect sizes, and the result flips dramatically: from zero evidence to a Bayes factor of 13,669 β enormous support for psi. The unsettling takeaway: prior assumptions can completely reverse your conclusions.
Abstract
Wagenmakers, Wetzels, Borsboom, and van der Maas (2011) argued that psychologists should replace the familiar "frequentist" statistical analyses of their data with Bayesian analyses. To illustrate their argument, they reanalyzed a set of psi experiments published recently in this journal by Bem (2011), maintaining that, contrary to his conclusion, his data do not yield evidence in favor of the psi hypothesis. We argue that they have incorrectly selected an unrealistic prior distribution for their analysis and that a Bayesian analysis using a more reasonable distribution yields strong evidence in favor of the psi hypothesis. More generally, we argue that there are advantages to Bayesian analyses that merit their increased use in the future. However, as Wagenmakers et al.'s analysis inadvertently revealed, they contain hidden traps that must be better understood before being more widely substituted for the familiar frequentist analyses currently employed by most research psychologists.
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π Cite this paper
Bem, Daryl J., Utts, Jessica., Johnson, Wesley O. (2011). Must Psychologists Change the Way They Analyze Their Data?. Journal of Personality and Social Psychology. https://doi.org/10.1037/a0024777
@article{bem_utts_johnson_2011_must_psychologists,
title = {Must Psychologists Change the Way They Analyze Their Data?},
author = {Bem, Daryl J. and Utts, Jessica. and Johnson, Wesley O.},
year = {2011},
journal = {Journal of Personality and Social Psychology},
doi = {10.1037/a0024777},
}