Analytic posteriors for Pearson's correlation coefficient

Open Access
Authors
Publication date 02-2018
Journal Statistica Neerlandica
Volume | Issue number 72 | 1
Pages (from-to) 4-13
Organisations
  • Faculty of Social and Behavioural Sciences (FMG) - Psychology Research Institute (PsyRes)
Abstract 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.
Document type Article
Language English
Published at https://doi.org/10.1111/stan.12111
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Ly_et_al-2018-Statistica_Neerlandica (Final published version)
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