Bayes factors and posterior estimation: Two sides of the very same coin

Autor:	Campbell, Harlan, Gustafson, Paul
Rok vydání:	2022
Předmět:	Mathematics - Statistics Theory
Druh dokumentu:	Working Paper
Popis:	Recently, several researchers have claimed that conclusions obtained from a Bayes factor (or the posterior odds) may contradict those obtained from Bayesian posterior estimation. In this short paper, we wish to point out that no such "incompatibility" exists if one is willing to consistently define one's priors and posteriors. The key for compatibility is that the (implied) prior model odds used for testing are the same as those used for estimation. Our recommendation is simple: If one reports a Bayes factor comparing two models, then one should also report posterior estimates which appropriately acknowledge the uncertainty with regards to which of the two models is correct. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2204.06054 Zobrazit plný text záznamu View this record from Arxiv