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

@article{Rouder2011ABF, title={A Bayes factor meta-analysis of Bem’s ESP claim}, author={Jeffrey N. Rouder and Richard Donald Morey}, journal={Psychonomic Bulletin \& Review}, year={2011}, volume={18}, pages={682-689} }

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…

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## References

SHOWING 1-10 OF 25 REFERENCES

THE STRENGTH OF EVIDENCE VERSUS THE POWER OF BELIEF: ARE WE ALL BAYESIANS?

- Economics
- 2010

Although statisticians have the job of making conclusions based on data, for many questions in science and society prior beliefs are strong and may take precedence over data when people make…

A practical solution to the pervasive problems ofp values

- PsychologyPsychonomic bulletin & review
- 2007

The BIC provides an approximation to a Bayesian hypothesis test, does not require the specification of priors, and can be easily calculated from SPSS output.

Testing a Point Null Hypothesis: The Irreconcilability of P Values and Evidence

- Mathematics
- 1987

Abstract The problem of testing a point null hypothesis (or a “small interval” null hypothesis) is considered. Of interest is the relationship between the P value (or observed significance level) and…

Bayesian t tests for accepting and rejecting the null hypothesis

- BiologyPsychonomic bulletin & review
- 2009

To facilitate use of the Bayes factor, an easy-to-use, Web-based program is provided that performs the necessary calculations and has better properties than other methods of inference that have been advocated in the psychological literature.

The Bayesian Two-Sample t Test

- Mathematics
- 2005

This article shows how the pooled-variance two-sample t statistic arises from a Bayesian formulation of the two-sided point null testing problem, with emphasis on teaching. We identify a reasonable…

The importance of proving the null.

- MathematicsPsychological review
- 2009

The simple computations and the intuitive graphic representation of the analysis are illustrated by the analysis of diverse examples from the current literature.

Meta-analysis of free-response studies, 1992-2008: assessing the noise reduction model in parapsychology.

- PsychologyPsychological bulletin
- 2010

It was found that selected participants (believers in the paranormal, meditators, etc.) had a performance advantage over unselected participants, but only if they were in the ganzfeld condition.

The Theory of Probability

- Computer Science
- 1896

This book is a searching analysis of the fundamental principles of the theory of probability and of the particular judgments involved in its application to concrete problems and is in agreement with the views expressed by Dr. Wrinch and the present reviewer.

Feeling the future: experimental evidence for anomalous retroactive influences on cognition and affect.

- PsychologyJournal of personality and social psychology
- 2011

9 experiments are reported, involving more than 1,000 participants, that test for retroactive influence by "time-reversing" well-established psychological effects so that the individual's responses are obtained before the putatively causal stimulus events occur.

Bayes Factors in Practice

- Mathematics
- 1993

Computational advances have facilitated application of various Bayesian methods, including the assessment of evidence in favor of a scientific theory. This is accomplished by calculating a Bayes…