Analytic posteriors for Pearson's correlation coefficient

Pearson's correlation is one of the most common measures of linear dependence. Recently, Bernardo (11th International Workshop on Objective Bayes Methodology, 2015) introduced a flexible class of priors to study this measure in a Bayesian setting. For this large class of priors, we show that th...

Descripción completa

Detalles Bibliográficos
Autores principales: Ly, Alexander, Marsman, Maarten, Wagenmakers, Eric‐Jan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: John Wiley and Sons Inc. 2017
Materias:
Original Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5763449/
https://www.ncbi.nlm.nih.gov/pubmed/29353942
http://dx.doi.org/10.1111/stan.12111
Descripción
Sumario:Pearson's correlation is one of the most common measures of linear dependence. Recently, Bernardo (11th International Workshop on Objective Bayes Methodology, 2015) introduced a flexible class of priors to study this measure in a Bayesian setting. For this large class of priors, we show that the (marginal) posterior for Pearson's correlation coefficient and all of the posterior moments are analytic. Our results are available in the open‐source software package JASP.

Ejemplares similares