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Analytic Posteriors for Pearson's Correlation Coefficient

Published 5 Oct 2015 in math.ST, stat.CO, and stat.TH | (1510.01188v2)

Abstract: Pearson's correlation is one of the most common measures of linear dependence. Recently, Bernardo (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.

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