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A model-averaging approach to replication: the case of p rep
Geoffrey J Iverson1, Eric-Jan Wagenmakers, Michael D Lee
1Department of Cognitive Science, University of California, CA, USA.
The prep statistic overestimates the probability of concurrence, potentially by over 30%. This method may lead researchers to overestimate the reliability of their experimental findings.
Area of Science:
- Psychological Science
- Statistics
- Research Methodology
Background:
- The prep statistic is proposed to estimate the probability of experimental concurrence.
- Psychological Science endorses prep over traditional methods for estimating concurrence.
- Prep assumes all effect sizes are equally likely a priori, neglecting the null hypothesis.
Purpose of the Study:
- To demonstrate that the prep statistic overestimates the probability of concurrence.
- To investigate the impact of the null hypothesis on concurrence probability.
- To highlight the potential for prep to inflate perceived experimental reliability.
Main Methods:
- Theoretical derivation of concurrence probability under different prior assumptions.
- Analysis of the influence of the null hypothesis posterior probability on concurrence.
- Comparison of prep estimates with scenarios incorporating a null hypothesis.
Main Results:
- Prep overestimates the probability of concurrence when a null hypothesis is considered.
- The posterior probability of the null hypothesis significantly affects concurrence estimates.
- Overestimation by prep can exceed 30% when priors for null and alternative hypotheses are equal.
Conclusions:
- Prep provides an upper bound for the probability of concurrence.
- Overreliance on prep may lead to an overestimation of experimental effect reliability.
- Researchers should be cautious about interpreting prep estimates due to potential overestimation.
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