# Bayes Factors Based on Test Statistics and Non-Local Moment Prior Densities

arXiv: https://arxiv.org/abs/2310.16213 · HTML: https://mlsanity.com/paper/2310.16213/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 24 Oct 2023.

## Built on by (most cited first, 1 of 1)

- [Differentially private Bayesian tests](https://mlsanity.com/paper/2401.15502/) (2024)

## Abstract (arXiv)

We describe Bayes factors based on z, t, chi2, and F statistics when non-local moment prior distributions are used to define alternative hypotheses. The non-local alternative prior distributions are centered on standardized effects. The prior densities include a dispersion parameter that can be used to model prior precision and the variation of effect sizes across replicated experiments. We examine the convergence rates of Bayes factors under true null and true alternative hypotheses and show how these Bayes factors can be used to construct Bayes factor functions. An example illustrates the application of resulting Bayes factors to psychological experiments.