arXiv Open Access 2025

On Bayes factor functions

Saptati Datta Riana Guha Rachael Shudde Valen E. Johnson

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Abstrak

We describe Bayes factors functions based on the sampling distributions of \emph{z}, \emph{t}, $χ^2$, and \emph{F} statistics, using a class of inverse-moment prior distributions to define alternative hypotheses. These non-local alternative prior distributions are centered on standardized effects, which serve as indices for the Bayes factor function. We compare the conclusions drawn from resulting Bayes factor functions to those drawn from Bayes factors defined using local alternative prior specifications and examine their frequentist operating characteristics. Finally, an application of Bayes factor functions to replicated experimental designs in psychology is provided.

Topik & Kata Kunci

stat.ME

Penulis (4)

Saptati Datta

Riana Guha

Rachael Shudde

Valen E. Johnson

Format Sitasi

APA MLA BibTeX

Datta, S., Guha, R., Shudde, R., Johnson, V.E. (2025). On Bayes factor functions. https://arxiv.org/abs/2506.16674

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓