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Code to examine the properties of Bayes factors used to provide evidence for the null hypothesis

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BFnull

Last updated: 22 February 2025

Provided here is the code associated with:

Fields, E. C. (2024). Bayes factors cannot provide evidence for the null hypothesis. PsyArXiv Preprints. https://doi.org/10.31234/osf.io/d6u5p

The following scripts are included:

  • BF_simulations.R: Examine how the frequentist t-test and Bayes factors with different alternative models perform with different sample sizes and population effect sizes via simulations.

  • BF_ttest_example.R: An example of the Bayes factor in a study with a small observed effect.

  • BF_ttest_largestCI.R: Find the largest upper bound on a confidence interval when the Bayes factor supports the null within a set of parameters.

  • BFbyN.R: Examine the Bayes factor by sample size with a given observed effect size.

  • cauchy_visualization.R: Code to create a visualization and probability table of the Cauchy distribution used in the default Bayes factor.

  • CI_width_by_sample_size.R: Find the margin of error for the confidence interval on Cohen's d by sample size in independent and paired samples designs.

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Code to examine the properties of Bayes factors used to provide evidence for the null hypothesis

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