A default Bayesian hypothesis test for correlations and partial correlations.

On the basis of n = 40 observations, Lleras et al., ( 2011 ) calculated the correlation between mean successful search time ( X ) and the proportion of rapid resumption responses ( Y ): \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {r_{XY}} = .51 $$\end{document} , a highly significant correlation ( p < .01).

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